Topological phase transitions and impurity-modulated Majorana zero modes in spin–orbit coupled superconducting nanoloops Article Swipe
Yue Xie
,
Xiao Yuan
,
Xi‐He Huang
,
Guo-Qiao Zha
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.1063/5.0291503
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.1063/5.0291503
By considering two-dimensional s-wave superconducting square nanoloops with Rashba spin–orbit (SO) coupling, we systematically investigate the transitions between topologically trivial and nontrivial superconducting phases under the in-plane Zeeman field in the framework of the microscopic Bogoliubov–de Gennes theory. The Zeeman-induced topological channel with weak pairing amplitude, which has been proposed to host Majorana bound states, is highly sensitive to the Rashba SO-coupling strength and the arm width of the loop. The topological phase transitions can also be driven by the admixed Dresselhaus SO interaction and may be detected through the evolution characteristics of persistent supercurrents when a vertical magnetic flux is applied. Moreover, the influences of nonmagnetic and magnetic impurities on energy spectra and Majorana zero modes are mainly analyzed in the Rashba square-loop sample. The occurrence of Majorana zero-energy states can be effectively tuned by the impurity types and locations. For the case of a single nonmagnetic impurity, no impurity bound states arise inside the pairing gap, while the Zeeman-field ranges of nontrivial topological phases depend on scattering strengths of the impurity potential resulting from enhanced or suppressed superconducting order parameters at the impurity site. By contrast, a single magnetic impurity with some appropriate strength can induce subgap quasiparticle states, which in turn strongly impact the evolution processes of low-energy levels and the patterns of Majorana bound states. Additionally, rich Majorana features can be realized by embedding a (non)magnetic impurity bilayer into the loop arm to model a tunneling junction.
Related Topics
Concepts
No concepts available.
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1063/5.0291503
- OA Status
- hybrid
- References
- 100
- OpenAlex ID
- https://openalex.org/W4414424558
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W4414424558Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.1063/5.0291503Digital Object Identifier
- Title
-
Topological phase transitions and impurity-modulated Majorana zero modes in spin–orbit coupled superconducting nanoloopsWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2025Year of publication
- Publication date
-
2025-09-23Full publication date if available
- Authors
-
Yue Xie, Xiao Yuan, Xi‐He Huang, Guo-Qiao ZhaList of authors in order
- Landing page
-
https://doi.org/10.1063/5.0291503Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
hybridOpen access status per OpenAlex
- OA URL
-
https://doi.org/10.1063/5.0291503Direct OA link when available
- Cited by
-
0Total citation count in OpenAlex
- References (count)
-
100Number of works referenced by this work
Full payload
| id | https://openalex.org/W4414424558 |
|---|---|
| doi | https://doi.org/10.1063/5.0291503 |
| ids.doi | https://doi.org/10.1063/5.0291503 |
| ids.openalex | https://openalex.org/W4414424558 |
| fwci | 0.0 |
| type | article |
| title | Topological phase transitions and impurity-modulated Majorana zero modes in spin–orbit coupled superconducting nanoloops |
| biblio.issue | 12 |
| biblio.volume | 138 |
| biblio.last_page | |
| biblio.first_page | |
| topics[0].id | https://openalex.org/T10657 |
| topics[0].field.id | https://openalex.org/fields/31 |
| topics[0].field.display_name | Physics and Astronomy |
| topics[0].score | 1.0 |
| topics[0].domain.id | https://openalex.org/domains/3 |
| topics[0].domain.display_name | Physical Sciences |
| topics[0].subfield.id | https://openalex.org/subfields/3107 |
| topics[0].subfield.display_name | Atomic and Molecular Physics, and Optics |
| topics[0].display_name | Topological Materials and Phenomena |
| topics[1].id | https://openalex.org/T11682 |
| topics[1].field.id | https://openalex.org/fields/31 |
| topics[1].field.display_name | Physics and Astronomy |
| topics[1].score | 0.9987000226974487 |
| topics[1].domain.id | https://openalex.org/domains/3 |
| topics[1].domain.display_name | Physical Sciences |
| topics[1].subfield.id | https://openalex.org/subfields/3104 |
| topics[1].subfield.display_name | Condensed Matter Physics |
| topics[1].display_name | Advanced Condensed Matter Physics |
| topics[2].id | https://openalex.org/T11804 |
| topics[2].field.id | https://openalex.org/fields/31 |
| topics[2].field.display_name | Physics and Astronomy |
| topics[2].score | 0.9976000189781189 |
| topics[2].domain.id | https://openalex.org/domains/3 |
| topics[2].domain.display_name | Physical Sciences |
| topics[2].subfield.id | https://openalex.org/subfields/3107 |
| topics[2].subfield.display_name | Atomic and Molecular Physics, and Optics |
| topics[2].display_name | Quantum many-body systems |
| is_xpac | False |
| apc_list.value | 3500 |
| apc_list.currency | USD |
| apc_list.value_usd | 3500 |
| apc_paid.value | 3500 |
| apc_paid.currency | USD |
| apc_paid.value_usd | 3500 |
| language | en |
| locations[0].id | doi:10.1063/5.0291503 |
| locations[0].is_oa | True |
| locations[0].source.id | https://openalex.org/S187991544 |
| locations[0].source.issn | 0021-8979, 1089-7550, 1520-8850 |
| locations[0].source.type | journal |
| locations[0].source.is_oa | False |
| locations[0].source.issn_l | 0021-8979 |
| locations[0].source.is_core | True |
| locations[0].source.is_in_doaj | False |
| locations[0].source.display_name | Journal of Applied Physics |
| locations[0].source.host_organization | https://openalex.org/P4310320257 |
| locations[0].source.host_organization_name | American Institute of Physics |
| locations[0].source.host_organization_lineage | https://openalex.org/P4310320257 |
| locations[0].source.host_organization_lineage_names | American Institute of Physics |
| locations[0].license | cc-by |
| locations[0].pdf_url | |
| locations[0].version | publishedVersion |
| locations[0].raw_type | journal-article |
| locations[0].license_id | https://openalex.org/licenses/cc-by |
| locations[0].is_accepted | True |
| locations[0].is_published | True |
| locations[0].raw_source_name | Journal of Applied Physics |
| locations[0].landing_page_url | https://doi.org/10.1063/5.0291503 |
| indexed_in | crossref |
| authorships[0].author.id | https://openalex.org/A5101755475 |
| authorships[0].author.orcid | https://orcid.org/0009-0000-9236-2890 |
| authorships[0].author.display_name | Yue Xie |
| authorships[0].countries | CN |
| authorships[0].affiliations[0].institution_ids | https://openalex.org/I113940042 |
| authorships[0].affiliations[0].raw_affiliation_string | Department of Physics and Shanghai Key Laboratory of High Temperature Superconductors, Shanghai University , Shanghai 200444, |
| authorships[0].institutions[0].id | https://openalex.org/I113940042 |
| authorships[0].institutions[0].ror | https://ror.org/006teas31 |
| authorships[0].institutions[0].type | education |
| authorships[0].institutions[0].lineage | https://openalex.org/I113940042 |
| authorships[0].institutions[0].country_code | CN |
| authorships[0].institutions[0].display_name | Shanghai University |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | Yue Xie |
| authorships[0].is_corresponding | False |
| authorships[0].raw_affiliation_strings | Department of Physics and Shanghai Key Laboratory of High Temperature Superconductors, Shanghai University , Shanghai 200444, |
| authorships[1].author.id | https://openalex.org/A5079313942 |
| authorships[1].author.orcid | https://orcid.org/0000-0002-3666-6344 |
| authorships[1].author.display_name | Xiao Yuan |
| authorships[1].countries | CN |
| authorships[1].affiliations[0].institution_ids | https://openalex.org/I113940042 |
| authorships[1].affiliations[0].raw_affiliation_string | Department of Physics and Shanghai Key Laboratory of High Temperature Superconductors, Shanghai University , Shanghai 200444, |
| authorships[1].institutions[0].id | https://openalex.org/I113940042 |
| authorships[1].institutions[0].ror | https://ror.org/006teas31 |
| authorships[1].institutions[0].type | education |
| authorships[1].institutions[0].lineage | https://openalex.org/I113940042 |
| authorships[1].institutions[0].country_code | CN |
| authorships[1].institutions[0].display_name | Shanghai University |
| authorships[1].author_position | middle |
| authorships[1].raw_author_name | Xiang-Nan Yuan |
| authorships[1].is_corresponding | False |
| authorships[1].raw_affiliation_strings | Department of Physics and Shanghai Key Laboratory of High Temperature Superconductors, Shanghai University , Shanghai 200444, |
| authorships[2].author.id | https://openalex.org/A5002494570 |
| authorships[2].author.orcid | |
| authorships[2].author.display_name | Xi‐He Huang |
| authorships[2].countries | CN |
| authorships[2].affiliations[0].institution_ids | https://openalex.org/I113940042 |
| authorships[2].affiliations[0].raw_affiliation_string | Department of Physics and Shanghai Key Laboratory of High Temperature Superconductors, Shanghai University , Shanghai 200444, |
| authorships[2].institutions[0].id | https://openalex.org/I113940042 |
| authorships[2].institutions[0].ror | https://ror.org/006teas31 |
| authorships[2].institutions[0].type | education |
| authorships[2].institutions[0].lineage | https://openalex.org/I113940042 |
| authorships[2].institutions[0].country_code | CN |
| authorships[2].institutions[0].display_name | Shanghai University |
| authorships[2].author_position | middle |
| authorships[2].raw_author_name | Xin-Hui-Rong Huang |
| authorships[2].is_corresponding | False |
| authorships[2].raw_affiliation_strings | Department of Physics and Shanghai Key Laboratory of High Temperature Superconductors, Shanghai University , Shanghai 200444, |
| authorships[3].author.id | https://openalex.org/A5091773655 |
| authorships[3].author.orcid | https://orcid.org/0000-0002-3826-3493 |
| authorships[3].author.display_name | Guo-Qiao Zha |
| authorships[3].countries | CN |
| authorships[3].affiliations[0].institution_ids | https://openalex.org/I113940042 |
| authorships[3].affiliations[0].raw_affiliation_string | Department of Physics and Shanghai Key Laboratory of High Temperature Superconductors, Shanghai University , Shanghai 200444, |
| authorships[3].institutions[0].id | https://openalex.org/I113940042 |
| authorships[3].institutions[0].ror | https://ror.org/006teas31 |
| authorships[3].institutions[0].type | education |
| authorships[3].institutions[0].lineage | https://openalex.org/I113940042 |
| authorships[3].institutions[0].country_code | CN |
| authorships[3].institutions[0].display_name | Shanghai University |
| authorships[3].author_position | last |
| authorships[3].raw_author_name | Guo-Qiao Zha |
| authorships[3].is_corresponding | False |
| authorships[3].raw_affiliation_strings | Department of Physics and Shanghai Key Laboratory of High Temperature Superconductors, Shanghai University , Shanghai 200444, |
| has_content.pdf | False |
| has_content.grobid_xml | False |
| is_paratext | False |
| open_access.is_oa | True |
| open_access.oa_url | https://doi.org/10.1063/5.0291503 |
| open_access.oa_status | hybrid |
| open_access.any_repository_has_fulltext | False |
| created_date | 2025-10-10T00:00:00 |
| display_name | Topological phase transitions and impurity-modulated Majorana zero modes in spin–orbit coupled superconducting nanoloops |
| has_fulltext | False |
| is_retracted | False |
| updated_date | 2025-11-06T03:46:38.306776 |
| primary_topic.id | https://openalex.org/T10657 |
| primary_topic.field.id | https://openalex.org/fields/31 |
| primary_topic.field.display_name | Physics and Astronomy |
| primary_topic.score | 1.0 |
| primary_topic.domain.id | https://openalex.org/domains/3 |
| primary_topic.domain.display_name | Physical Sciences |
| primary_topic.subfield.id | https://openalex.org/subfields/3107 |
| primary_topic.subfield.display_name | Atomic and Molecular Physics, and Optics |
| primary_topic.display_name | Topological Materials and Phenomena |
| cited_by_count | 0 |
| locations_count | 1 |
| best_oa_location.id | doi:10.1063/5.0291503 |
| best_oa_location.is_oa | True |
| best_oa_location.source.id | https://openalex.org/S187991544 |
| best_oa_location.source.issn | 0021-8979, 1089-7550, 1520-8850 |
| best_oa_location.source.type | journal |
| best_oa_location.source.is_oa | False |
| best_oa_location.source.issn_l | 0021-8979 |
| best_oa_location.source.is_core | True |
| best_oa_location.source.is_in_doaj | False |
| best_oa_location.source.display_name | Journal of Applied Physics |
| best_oa_location.source.host_organization | https://openalex.org/P4310320257 |
| best_oa_location.source.host_organization_name | American Institute of Physics |
| best_oa_location.source.host_organization_lineage | https://openalex.org/P4310320257 |
| best_oa_location.source.host_organization_lineage_names | American Institute of Physics |
| best_oa_location.license | cc-by |
| best_oa_location.pdf_url | |
| best_oa_location.version | publishedVersion |
| best_oa_location.raw_type | journal-article |
| best_oa_location.license_id | https://openalex.org/licenses/cc-by |
| best_oa_location.is_accepted | True |
| best_oa_location.is_published | True |
| best_oa_location.raw_source_name | Journal of Applied Physics |
| best_oa_location.landing_page_url | https://doi.org/10.1063/5.0291503 |
| primary_location.id | doi:10.1063/5.0291503 |
| primary_location.is_oa | True |
| primary_location.source.id | https://openalex.org/S187991544 |
| primary_location.source.issn | 0021-8979, 1089-7550, 1520-8850 |
| primary_location.source.type | journal |
| primary_location.source.is_oa | False |
| primary_location.source.issn_l | 0021-8979 |
| primary_location.source.is_core | True |
| primary_location.source.is_in_doaj | False |
| primary_location.source.display_name | Journal of Applied Physics |
| primary_location.source.host_organization | https://openalex.org/P4310320257 |
| primary_location.source.host_organization_name | American Institute of Physics |
| primary_location.source.host_organization_lineage | https://openalex.org/P4310320257 |
| primary_location.source.host_organization_lineage_names | American Institute of Physics |
| primary_location.license | cc-by |
| primary_location.pdf_url | |
| primary_location.version | publishedVersion |
| primary_location.raw_type | journal-article |
| primary_location.license_id | https://openalex.org/licenses/cc-by |
| primary_location.is_accepted | True |
| primary_location.is_published | True |
| primary_location.raw_source_name | Journal of Applied Physics |
| primary_location.landing_page_url | https://doi.org/10.1063/5.0291503 |
| publication_date | 2025-09-23 |
| publication_year | 2025 |
| referenced_works | https://openalex.org/W2168606130, https://openalex.org/W2020332193, https://openalex.org/W2043647075, https://openalex.org/W2296259435, https://openalex.org/W2566467992, https://openalex.org/W2460278388, https://openalex.org/W2504429711, https://openalex.org/W2604989170, https://openalex.org/W2688544862, https://openalex.org/W2738796814, https://openalex.org/W2904462211, https://openalex.org/W2890645940, https://openalex.org/W2906035218, https://openalex.org/W2947214209, https://openalex.org/W3002162436, https://openalex.org/W3034004703, https://openalex.org/W3179830933, https://openalex.org/W3120539046, https://openalex.org/W4401947097, https://openalex.org/W4381613065, https://openalex.org/W2135273380, https://openalex.org/W2152240519, https://openalex.org/W1571552325, https://openalex.org/W2245224556, https://openalex.org/W4213282756, https://openalex.org/W2789494438, https://openalex.org/W3000507069, https://openalex.org/W4309830280, https://openalex.org/W4410342780, https://openalex.org/W4408189793, https://openalex.org/W2069604995, https://openalex.org/W1989547126, https://openalex.org/W2792933791, https://openalex.org/W2094481619, https://openalex.org/W2044801920, https://openalex.org/W2054508802, https://openalex.org/W4249872820, https://openalex.org/W2791414670, https://openalex.org/W2951761024, https://openalex.org/W3045642635, https://openalex.org/W2561702936, https://openalex.org/W2341594441, https://openalex.org/W2755792125, https://openalex.org/W2903557332, https://openalex.org/W2996114148, https://openalex.org/W2168226651, https://openalex.org/W2055424520, https://openalex.org/W2056902350, https://openalex.org/W2985980214, https://openalex.org/W2058414547, https://openalex.org/W2346780837, https://openalex.org/W2179742263, https://openalex.org/W3108565952, https://openalex.org/W1976175889, https://openalex.org/W4391351562, https://openalex.org/W2784177164, https://openalex.org/W3034741409, https://openalex.org/W4402729242, https://openalex.org/W1999019010, https://openalex.org/W2059248347, https://openalex.org/W2089217310, https://openalex.org/W2024147048, https://openalex.org/W1555044203, https://openalex.org/W2793208482, https://openalex.org/W2796246305, https://openalex.org/W3139662619, https://openalex.org/W4403335257, https://openalex.org/W2037598690, https://openalex.org/W2031824068, https://openalex.org/W2052061086, https://openalex.org/W2264392388, https://openalex.org/W2008250173, https://openalex.org/W2253377585, https://openalex.org/W2049433350, https://openalex.org/W4244917855, https://openalex.org/W1661921468, https://openalex.org/W2998498604, https://openalex.org/W4401234570, https://openalex.org/W4403533174, https://openalex.org/W2140331670, https://openalex.org/W2089843538, https://openalex.org/W2948894964, https://openalex.org/W4393386323, https://openalex.org/W1997177496, https://openalex.org/W2048617966, https://openalex.org/W2031577002, https://openalex.org/W2059250563, https://openalex.org/W2084881936, https://openalex.org/W2800275694, https://openalex.org/W2138150654, https://openalex.org/W4256655023, https://openalex.org/W2102470243, https://openalex.org/W3105452889, https://openalex.org/W3106120793, https://openalex.org/W3104312126, https://openalex.org/W3104863487, https://openalex.org/W3122026060, https://openalex.org/W3149970200, https://openalex.org/W3134840021, https://openalex.org/W3098794347 |
| referenced_works_count | 100 |
| abstract_inverted_index.a | 96, 145, 188, 228, 238 |
| abstract_inverted_index.By | 0, 186 |
| abstract_inverted_index.SO | 82 |
| abstract_inverted_index.at | 182 |
| abstract_inverted_index.be | 76, 86, 132, 224 |
| abstract_inverted_index.by | 78, 135, 226 |
| abstract_inverted_index.in | 29, 120, 202 |
| abstract_inverted_index.is | 55, 100 |
| abstract_inverted_index.no | 149 |
| abstract_inverted_index.of | 32, 67, 92, 105, 127, 144, 162, 170, 209, 215 |
| abstract_inverted_index.on | 110, 167 |
| abstract_inverted_index.or | 177 |
| abstract_inverted_index.to | 50, 58, 236 |
| abstract_inverted_index.we | 12 |
| abstract_inverted_index.For | 141 |
| abstract_inverted_index.The | 38, 70, 125 |
| abstract_inverted_index.and | 20, 63, 84, 107, 113, 139, 212 |
| abstract_inverted_index.are | 117 |
| abstract_inverted_index.arm | 65, 235 |
| abstract_inverted_index.can | 74, 131, 196, 223 |
| abstract_inverted_index.has | 47 |
| abstract_inverted_index.may | 85 |
| abstract_inverted_index.the | 15, 25, 30, 33, 59, 64, 68, 79, 89, 103, 121, 136, 142, 155, 159, 171, 183, 206, 213, 233 |
| abstract_inverted_index.(SO) | 10 |
| abstract_inverted_index.also | 75 |
| abstract_inverted_index.been | 48 |
| abstract_inverted_index.case | 143 |
| abstract_inverted_index.flux | 99 |
| abstract_inverted_index.from | 175 |
| abstract_inverted_index.gap, | 157 |
| abstract_inverted_index.host | 51 |
| abstract_inverted_index.into | 232 |
| abstract_inverted_index.loop | 234 |
| abstract_inverted_index.rich | 220 |
| abstract_inverted_index.some | 193 |
| abstract_inverted_index.turn | 203 |
| abstract_inverted_index.weak | 43 |
| abstract_inverted_index.when | 95 |
| abstract_inverted_index.with | 7, 42, 192 |
| abstract_inverted_index.zero | 115 |
| abstract_inverted_index.arise | 153 |
| abstract_inverted_index.bound | 53, 151, 217 |
| abstract_inverted_index.field | 28 |
| abstract_inverted_index.loop. | 69 |
| abstract_inverted_index.model | 237 |
| abstract_inverted_index.modes | 116 |
| abstract_inverted_index.order | 180 |
| abstract_inverted_index.phase | 72 |
| abstract_inverted_index.site. | 185 |
| abstract_inverted_index.tuned | 134 |
| abstract_inverted_index.types | 138 |
| abstract_inverted_index.under | 24 |
| abstract_inverted_index.which | 46, 201 |
| abstract_inverted_index.while | 158 |
| abstract_inverted_index.width | 66 |
| abstract_inverted_index.Gennes | 36 |
| abstract_inverted_index.Rashba | 8, 60, 122 |
| abstract_inverted_index.Zeeman | 27 |
| abstract_inverted_index.depend | 166 |
| abstract_inverted_index.driven | 77 |
| abstract_inverted_index.energy | 111 |
| abstract_inverted_index.highly | 56 |
| abstract_inverted_index.impact | 205 |
| abstract_inverted_index.induce | 197 |
| abstract_inverted_index.inside | 154 |
| abstract_inverted_index.levels | 211 |
| abstract_inverted_index.mainly | 118 |
| abstract_inverted_index.phases | 23, 165 |
| abstract_inverted_index.ranges | 161 |
| abstract_inverted_index.s-wave | 3 |
| abstract_inverted_index.single | 146, 189 |
| abstract_inverted_index.square | 5 |
| abstract_inverted_index.states | 130, 152 |
| abstract_inverted_index.subgap | 198 |
| abstract_inverted_index.admixed | 80 |
| abstract_inverted_index.between | 17 |
| abstract_inverted_index.bilayer | 231 |
| abstract_inverted_index.channel | 41 |
| abstract_inverted_index.pairing | 44, 156 |
| abstract_inverted_index.sample. | 124 |
| abstract_inverted_index.spectra | 112 |
| abstract_inverted_index.states, | 54, 200 |
| abstract_inverted_index.states. | 218 |
| abstract_inverted_index.theory. | 37 |
| abstract_inverted_index.through | 88 |
| abstract_inverted_index.trivial | 19 |
| abstract_inverted_index.Majorana | 52, 114, 128, 216, 221 |
| abstract_inverted_index.analyzed | 119 |
| abstract_inverted_index.applied. | 101 |
| abstract_inverted_index.detected | 87 |
| abstract_inverted_index.enhanced | 176 |
| abstract_inverted_index.features | 222 |
| abstract_inverted_index.impurity | 137, 150, 172, 184, 191, 230 |
| abstract_inverted_index.in-plane | 26 |
| abstract_inverted_index.magnetic | 98, 108, 190 |
| abstract_inverted_index.patterns | 214 |
| abstract_inverted_index.proposed | 49 |
| abstract_inverted_index.realized | 225 |
| abstract_inverted_index.strength | 62, 195 |
| abstract_inverted_index.strongly | 204 |
| abstract_inverted_index.vertical | 97 |
| abstract_inverted_index.Moreover, | 102 |
| abstract_inverted_index.contrast, | 187 |
| abstract_inverted_index.coupling, | 11 |
| abstract_inverted_index.embedding | 227 |
| abstract_inverted_index.evolution | 90, 207 |
| abstract_inverted_index.framework | 31 |
| abstract_inverted_index.impurity, | 148 |
| abstract_inverted_index.junction. | 240 |
| abstract_inverted_index.nanoloops | 6 |
| abstract_inverted_index.potential | 173 |
| abstract_inverted_index.processes | 208 |
| abstract_inverted_index.resulting | 174 |
| abstract_inverted_index.sensitive | 57 |
| abstract_inverted_index.strengths | 169 |
| abstract_inverted_index.tunneling | 239 |
| abstract_inverted_index.amplitude, | 45 |
| abstract_inverted_index.impurities | 109 |
| abstract_inverted_index.influences | 104 |
| abstract_inverted_index.locations. | 140 |
| abstract_inverted_index.low-energy | 210 |
| abstract_inverted_index.nontrivial | 21, 163 |
| abstract_inverted_index.occurrence | 126 |
| abstract_inverted_index.parameters | 181 |
| abstract_inverted_index.persistent | 93 |
| abstract_inverted_index.scattering | 168 |
| abstract_inverted_index.suppressed | 178 |
| abstract_inverted_index.Dresselhaus | 81 |
| abstract_inverted_index.SO-coupling | 61 |
| abstract_inverted_index.appropriate | 194 |
| abstract_inverted_index.considering | 1 |
| abstract_inverted_index.effectively | 133 |
| abstract_inverted_index.interaction | 83 |
| abstract_inverted_index.investigate | 14 |
| abstract_inverted_index.microscopic | 34 |
| abstract_inverted_index.nonmagnetic | 106, 147 |
| abstract_inverted_index.square-loop | 123 |
| abstract_inverted_index.topological | 40, 71, 164 |
| abstract_inverted_index.transitions | 16, 73 |
| abstract_inverted_index.zero-energy | 129 |
| abstract_inverted_index.Zeeman-field | 160 |
| abstract_inverted_index.spin–orbit | 9 |
| abstract_inverted_index.(non)magnetic | 229 |
| abstract_inverted_index.Additionally, | 219 |
| abstract_inverted_index.quasiparticle | 199 |
| abstract_inverted_index.supercurrents | 94 |
| abstract_inverted_index.topologically | 18 |
| abstract_inverted_index.Zeeman-induced | 39 |
| abstract_inverted_index.systematically | 13 |
| abstract_inverted_index.Bogoliubov–de | 35 |
| abstract_inverted_index.characteristics | 91 |
| abstract_inverted_index.superconducting | 4, 22, 179 |
| abstract_inverted_index.two-dimensional | 2 |
| cited_by_percentile_year | |
| countries_distinct_count | 1 |
| institutions_distinct_count | 4 |
| citation_normalized_percentile.value | 0.363327 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |