Symmetry-protected higher-order exceptional points in staggered flatband rhombic lattices Article Swipe
Yingying Zhang
,
Shiqiang Xia
,
Lu Qin
,
Xuejing Feng
,
Wen-Rong Qi
,
Yajing Jiang
,
Hai Lu
,
Yufang Liu
,
Daohong Song
,
Liqin Tang
,
Zhigang Chen
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2206.00965
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2206.00965
Higher-order exceptional points (EPs), which appear as multifold degeneracies in the spectra of non-Hermitian systems, are garnering extensive attention in various multidisciplinary fields. However, constructing higher-order EPs still remains as a challenge due to the strict requirement of the system symmetries. Here we demonstrate that higher-order EPs can be judiciously fabricated in PT -symmetric staggered rhombic lattices by introducing not only on-site gain/loss but also nonHermitian couplings. Zero-energy flatbands persist and symmetry-protected third-order EPs (EP3) arise in these systems owing to the non-Hermitian chiral/sublattice symmetry, but distinct phase transitions and propagation dynamics occur. Specifically, the EP3 arises at the Brillouin zone (BZ) boundary in the presence of on-site gain/loss. The single-site excitations display an exponential power increase in the PT -broken phase. Meanwhile, a nearly flatband sustains when a small lattice perturbation is applied. For the lattices with non-Hermitian couplings, however, the EP3 appears at the BZ center. Quite remarkably, our analysis unveils a dynamical delocalization-localization transition for the excitation of the dispersive bands and a quartic power increase beyond the EP3. Our scheme provides a new platform towards the investigation of the higher-order EPs, and can be further extended to the study of topological phase transitions or nonlinear processes associated with higher-order EPs.
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- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2206.00965
- https://arxiv.org/pdf/2206.00965
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
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https://openalex.org/W4281935367Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2206.00965Digital Object Identifier
- Title
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Symmetry-protected higher-order exceptional points in staggered flatband rhombic latticesWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
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2022Year of publication
- Publication date
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2022-06-02Full publication date if available
- Authors
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Yingying Zhang, Shiqiang Xia, Lu Qin, Xuejing Feng, Wen-Rong Qi, Yajing Jiang, Hai Lu, Yufang Liu, Daohong Song, Liqin Tang, Zhigang ChenList of authors in order
- Landing page
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https://arxiv.org/abs/2206.00965Publisher landing page
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https://arxiv.org/pdf/2206.00965Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2206.00965Direct OA link when available
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Brillouin zone, Lattice (music), Quartic function, Homogeneous space, Phase transition, Condensed matter physics, Physics, Hermitian matrix, Point reflection, Quantum mechanics, Mathematics, Geometry, Acoustics, Pure mathematicsTop concepts (fields/topics) attached by OpenAlex
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| abstract_inverted_index.our | 150 |
| abstract_inverted_index.the | 10, 34, 38, 81, 94, 98, 104, 118, 135, 141, 145, 158, 161, 170, 179, 182, 191 |
| abstract_inverted_index.(BZ) | 101 |
| abstract_inverted_index.EP3. | 171 |
| abstract_inverted_index.EPs, | 184 |
| abstract_inverted_index.EPs. | 203 |
| abstract_inverted_index.Here | 41 |
| abstract_inverted_index.also | 64 |
| abstract_inverted_index.only | 60 |
| abstract_inverted_index.that | 44 |
| abstract_inverted_index.when | 127 |
| abstract_inverted_index.with | 137, 201 |
| abstract_inverted_index.zone | 100 |
| abstract_inverted_index.(EP3) | 74 |
| abstract_inverted_index.Quite | 148 |
| abstract_inverted_index.arise | 75 |
| abstract_inverted_index.bands | 163 |
| abstract_inverted_index.owing | 79 |
| abstract_inverted_index.phase | 87, 195 |
| abstract_inverted_index.power | 115, 167 |
| abstract_inverted_index.small | 129 |
| abstract_inverted_index.still | 27 |
| abstract_inverted_index.study | 192 |
| abstract_inverted_index.these | 77 |
| abstract_inverted_index.which | 4 |
| abstract_inverted_index.(EPs), | 3 |
| abstract_inverted_index.appear | 5 |
| abstract_inverted_index.arises | 96 |
| abstract_inverted_index.beyond | 169 |
| abstract_inverted_index.nearly | 124 |
| abstract_inverted_index.occur. | 92 |
| abstract_inverted_index.phase. | 121 |
| abstract_inverted_index.points | 2 |
| abstract_inverted_index.scheme | 173 |
| abstract_inverted_index.strict | 35 |
| abstract_inverted_index.system | 39 |
| abstract_inverted_index.-broken | 120 |
| abstract_inverted_index.appears | 143 |
| abstract_inverted_index.center. | 147 |
| abstract_inverted_index.display | 112 |
| abstract_inverted_index.fields. | 22 |
| abstract_inverted_index.further | 188 |
| abstract_inverted_index.lattice | 130 |
| abstract_inverted_index.on-site | 61, 107 |
| abstract_inverted_index.persist | 69 |
| abstract_inverted_index.quartic | 166 |
| abstract_inverted_index.remains | 28 |
| abstract_inverted_index.rhombic | 55 |
| abstract_inverted_index.spectra | 11 |
| abstract_inverted_index.systems | 78 |
| abstract_inverted_index.towards | 178 |
| abstract_inverted_index.unveils | 152 |
| abstract_inverted_index.various | 20 |
| abstract_inverted_index.However, | 23 |
| abstract_inverted_index.analysis | 151 |
| abstract_inverted_index.applied. | 133 |
| abstract_inverted_index.boundary | 102 |
| abstract_inverted_index.distinct | 86 |
| abstract_inverted_index.dynamics | 91 |
| abstract_inverted_index.extended | 189 |
| abstract_inverted_index.flatband | 125 |
| abstract_inverted_index.however, | 140 |
| abstract_inverted_index.increase | 116, 168 |
| abstract_inverted_index.lattices | 56, 136 |
| abstract_inverted_index.platform | 177 |
| abstract_inverted_index.presence | 105 |
| abstract_inverted_index.provides | 174 |
| abstract_inverted_index.sustains | 126 |
| abstract_inverted_index.systems, | 14 |
| abstract_inverted_index.Brillouin | 99 |
| abstract_inverted_index.attention | 18 |
| abstract_inverted_index.challenge | 31 |
| abstract_inverted_index.dynamical | 154 |
| abstract_inverted_index.extensive | 17 |
| abstract_inverted_index.flatbands | 68 |
| abstract_inverted_index.gain/loss | 62 |
| abstract_inverted_index.garnering | 16 |
| abstract_inverted_index.multifold | 7 |
| abstract_inverted_index.nonlinear | 198 |
| abstract_inverted_index.processes | 199 |
| abstract_inverted_index.staggered | 54 |
| abstract_inverted_index.symmetry, | 84 |
| abstract_inverted_index.-symmetric | 53 |
| abstract_inverted_index.Meanwhile, | 122 |
| abstract_inverted_index.associated | 200 |
| abstract_inverted_index.couplings, | 139 |
| abstract_inverted_index.couplings. | 66 |
| abstract_inverted_index.dispersive | 162 |
| abstract_inverted_index.excitation | 159 |
| abstract_inverted_index.fabricated | 50 |
| abstract_inverted_index.gain/loss. | 108 |
| abstract_inverted_index.transition | 156 |
| abstract_inverted_index.Zero-energy | 67 |
| abstract_inverted_index.demonstrate | 43 |
| abstract_inverted_index.exceptional | 1 |
| abstract_inverted_index.excitations | 111 |
| abstract_inverted_index.exponential | 114 |
| abstract_inverted_index.introducing | 58 |
| abstract_inverted_index.judiciously | 49 |
| abstract_inverted_index.propagation | 90 |
| abstract_inverted_index.remarkably, | 149 |
| abstract_inverted_index.requirement | 36 |
| abstract_inverted_index.single-site | 110 |
| abstract_inverted_index.symmetries. | 40 |
| abstract_inverted_index.third-order | 72 |
| abstract_inverted_index.topological | 194 |
| abstract_inverted_index.transitions | 88, 196 |
| abstract_inverted_index.Higher-order | 0 |
| abstract_inverted_index.constructing | 24 |
| abstract_inverted_index.degeneracies | 8 |
| abstract_inverted_index.higher-order | 25, 45, 183, 202 |
| abstract_inverted_index.nonHermitian | 65 |
| abstract_inverted_index.perturbation | 131 |
| abstract_inverted_index.Specifically, | 93 |
| abstract_inverted_index.investigation | 180 |
| abstract_inverted_index.non-Hermitian | 13, 82, 138 |
| abstract_inverted_index.chiral/sublattice | 83 |
| abstract_inverted_index.multidisciplinary | 21 |
| abstract_inverted_index.symmetry-protected | 71 |
| abstract_inverted_index.delocalization-localization | 155 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 11 |
| citation_normalized_percentile |