Edge modes in one-dimensional topological charge conserving spin-triplet superconductors: Exact results from Bethe ansatz Article Swipe
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Bethe ansatz
Physics
Hamiltonian (control theory)
Degeneracy (biology)
Condensed matter physics
Ground state
Spin (aerodynamics)
Quantum mechanics
Superconductivity
Charge (physics)
Singlet state
Excited state
Mathematics
Quantum
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Mathematical optimization
Bioinformatics
Thermodynamics
Parameshwar R. Pasnoori
,
Natan Andrei
,
P. Azaria
·
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.1103/physrevb.102.214511
· OA: W3082346470
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.1103/physrevb.102.214511
· OA: W3082346470
Charge conserving spin singlet and spin triplet superconductors in one\ndimension are described by the $U(1)$ symmetric Thirring Hamiltonian. We solve\nthe model with open boundary conditions on the a finite line segment by means\nof the Bethe Ansatz. We show that the ground state displays a fourfold\ndegeneracy when the bulk is in the spin triplet superconducting phase. This\ndegeneracy corresponds to the existence of zero energy boundary bound states\nlocalized at the edges which may be interpreted, in the light of the previous\nsemi-classical analysis due to Kesselman and Berg \\cite{Keselman2015}, as\nresulting from the existence of fractional spin $\\pm 1/4$ localized at the two\nedges of the system.\n
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