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We study the ground state and low-energy subgap excitations of a finite wire of a time-reversal-invariant topological superconductor (TRITOPS) with spin-orbit coupling. We solve the problem analytically for a long chain of a specific…

Mesoscale and Nanoscale Physics · Physics 2018-11-28 Armando Aligia , Liliana Arrachea

Using the density-matrix renormalization group, we determine the different topological phases and low-energy excitations of a time-reversal invariant topological superconducting (TRITOPS) wire with extended s-wave superconductivity, Rashba…

Superconductivity · Physics 2023-11-06 Leandro M. Chinellato , Claudio J. Gazza , Alejandro M. Lobos , Armando A. Aligia

We show that a topological superconductor made of four chains of superconducting spinless fermions characterized by four Majorana edge states can adiabatically be deformed into a trivial band insulator. To unwind this time-reversal…

Strongly Correlated Electrons · Physics 2012-09-17 Achim Rosch

We study all the possible different two terminal configurations of Josephson junctions containing wires of time-reversal invariant topological superconductors (TRITOPS) and ordinary superconductors, including combinations with an…

Mesoscale and Nanoscale Physics · Physics 2019-02-27 Liliana Arrachea , Alberto Camjayi , Armando A. Aligia , Leonel Gruñeiro

We propose a setup to realize time-reversal invariant topological superconductors in quantum wires, proximity coupled to conventional superconductors. We consider a model of quantum wire with strong spin-orbit coupling and proximity…

Strongly Correlated Electrons · Physics 2013-09-17 Anna Keselman , Liang Fu , Ady Stern , Erez Berg

A topological superconductor is characterized by having a pairing gap in the bulk and gapless self-hermitian Majorana modes at its boundary. In one dimension, these are zero-energy modes bound to the ends, while in two dimensions these are…

Mesoscale and Nanoscale Physics · Physics 2018-09-20 Arbel Haim , Yuval Oreg

We consider a model for a one-dimensional quantum wire with Rashba spin-orbit coupling and repulsive interactions, proximity coupled to a conventional s-wave superconductor. Using a combination of Hartree-Fock and density matrix…

Mesoscale and Nanoscale Physics · Physics 2015-04-30 Arbel Haim , Anna Keselman , Erez Berg , Yuval Oreg

Three-dimensional line-nodal superconductors exhibit nontrivial topology, which is protected by the time-reversal symmetry. Here we investigate four types of short-range interaction between the gapless line-nodal fermionic quasiparticles by…

Superconductivity · Physics 2021-03-15 Jing Wang

We introduce a frustration-free, one-dimensional model of spinless fermions with hopping, p-wave superconducting pairing and alternating chemical potentials. The model possesses two exactly degenerate ground states even for finite system…

Strongly Correlated Electrons · Physics 2023-02-28 Jurriaan Wouters , Hosho Katsura , Dirk Schuricht

We present a comprehensive study of two of the most experimentally relevant extensions of Kitaev's spinless model of a 1D p-wave superconductor: those involving (i) longer range hopping and superconductivity and (ii) inhomogeneous…

Superconductivity · Physics 2013-10-08 Wade DeGottardi , Manisha Thakurathi , Smitha Vishveshwara , Diptiman Sen

Using an asymptotically exact weak coupling analysis of a multi-orbital Hubbard model of the electronic structure of \SRO, we show that the interplay between spin and charge fluctuations leads unequivocally to triplet pairing which…

Superconductivity · Physics 2010-10-19 S. Raghu , A. Kapitulnik , S. A. Kivelson

We report intimate relations between topological properties of full gapped spin-triplet superconductors with time-reversal invariance and the Fermi surface topology in the normal states. An efficient method to calculate the Z2 invariants…

Superconductivity · Physics 2009-06-26 Masatoshi Sato

We study three-dimensional time-reversal-invariant topological superconductivity in noncentrosymmetric materials such as RhSi, CoSi, and AlPt which host coupled multifold nodes energetically split by the spin-orbit coupling at the same…

Superconductivity · Physics 2022-01-11 Changhee Lee , Chiho Yoon , Taehyeok Kim , Suk Bum Chung , Hongki Min

It was recently shown that an interacting Kitaev topological superconductor model is exactly solvable based on two-step Jordan-Wigner transformations together with one spin rotation. We generalize this model by including the dimerization,…

Strongly Correlated Electrons · Physics 2017-10-25 Motohiko Ezawa

Topological phases realized in time-reversal invariant (TRI) systems are foundational to experimental study of the broader canon of topological condensed matter as they do not require exotic magnetic orders for realization. We therefore…

Mesoscale and Nanoscale Physics · Physics 2025-04-02 R. Flores-Calderon , Ashley M. Cook

The classification of topological states of matter in terms of unitary symmetries and dimensionality predicts the existence of nontrivial topological states even in zero-dimensional systems, i.e., a system with a discrete energy spectrum.…

Mesoscale and Nanoscale Physics · Physics 2018-06-11 Pasquale Marra , Alessandro Braggio , Roberta Citro

Time reversal invariant topological superconducting (TRITOPS) wires are known to host a fractional spin hbar/4 at their ends. We investigate how this fractional spin affects the Josephson current in a TRITOPS-quantum dot-TRITOPS Josephson…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 Alberto Camjayi , Liliana Arrachea , Armando Aligia , Felix von Oppen

The two-dimensional Hubbard model at finite doping hosts competing or intertwined orders, resulting in conflicting conclusions from different computational approaches regarding its ground state. We show that a key source of such…

Strongly Correlated Electrons · Physics 2026-04-27 Luciano Loris Viteritti , Riccardo Rende , Christopher Roth , Anirvan Sengupta , Giuseppe Carleo , Antoine Georges

A time-reversal invariant Kitaev-type model is introduced in which spins (Dirac matrices) on the square lattice interact via anisotropic nearest-neighbor and next-nearest-neighbor exchange interactions. The model is exactly solved by…

Strongly Correlated Electrons · Physics 2012-04-13 Ryota Nakai , Shinsei Ryu , Akira Furusaki

We present universal features of the topological invariant of p-wave superconducting wires after the inclusion of spatial inhomogeneities. Three classes of distributed potentials are studied, a single- impurity, a commensurate and an…

Superconductivity · Physics 2017-11-27 Marcos Pérez , Gerardo Martínez
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