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Majorana bound states often occur at the end of 1D topological superconductor or at the $\pi$ Josephson junction mediated by a helical edge state. Validated by a new bulk invariant and an intuitive edge argument, we show the emergence of…

Mesoscale and Nanoscale Physics · Physics 2018-11-01 Qiyue Wang , Cheng-Cheng Liu , Yuan-Ming Lu , Fan Zhang

We prove that quantum information encoded in some topological excitations, including certain Majorana zero modes, is protected in closed systems for a time scale exponentially long in system parameters. This protection holds even at…

Statistical Mechanics · Physics 2017-12-20 Dominic V. Else , Paul Fendley , Jack Kemp , Chetan Nayak

Spin-triplet superconductors provide an ideal platform for realizing topological superconductivity with emergent Majorana quasiparticles. The promising candidate is the recently discovered superconductor UTe$ _2$, but the symmetry of the…

We show that a one dimensional ultra-cold Fermi gas with Rashba-like spin orbit coupling, a Zeeman field and intrinsic attractive interactions exhibits a novel topological superfluid state, which forms in spite of total number conservation…

Quantum Gases · Physics 2015-04-09 Jonathan Ruhman , Ehud Altman

The helical electron states on the surface of topological insulators or elemental Bismuth become unstable toward superconducting pairing formation when coupled to the charge or magnetic fluctuations. The latter gives rise to pairing…

Superconductivity · Physics 2019-10-23 Hossein Hosseinabadi , Mehdi Kargarian

Topological superconductors can host Majorana quasiparticles which supersede the fermion/boson dichotomy and offer a pathway to fault tolerant quantum computation. In one-dimensional systems zero-energy Majorana states are bound to the ends…

We propose a theoretical model to investigate the interplay between altermagnetism and $p$-wave superconductivity, with a particular focus on topological phase transitions in a two-dimensional (2D) $p$-wave superconductor, considering both…

Superconductivity · Physics 2025-08-06 Pritam Chatterjee , Vladimir Juričić

Nodal noncentrosymmetric superconductors have topologically nontrivial properties manifested by protected zero-energy surface states. Specifically, it was recently found that zero-energy surface flat bands of topological origin appear at…

Superconductivity · Physics 2012-01-13 Andreas P. Schnyder , P. M. R. Brydon , Carsten Timm

Noncentrosymmetric superconductors with strong spin-orbit coupling and the B phase of ${}^3$He are possible realizations of topological superconductors with time-reversal symmetry. The nontrivial topology of these time- reversal invariant…

Superconductivity · Physics 2015-01-27 Raquel Queiroz , Andreas P. Schnyder

Topological superconductors are an intriguing and elusive quantum phase, characterized by topologically protected gapless surface/edge states residing in a bulk superconducting gap, which hosts Majorana fermions. Unfortunately, all…

Superconductivity · Physics 2019-05-10 Kyung-Hwan Jin , Huaqing Huang , Jia-Wei Mei , Zheng Liu , Lih-King Lim , Feng Liu

The combination of spin-orbit coupling with interactions results in many exotic phases of matter. In this Letter, we investigate the superconducting pairing instability of the two-dimensional extended Hubbard model with both Rashba and…

Superconductivity · Physics 2020-07-08 Majid Kheirkhah , Zhongbo Yan , Yuki Nagai , Frank Marsiglio

Vortex lines, known as topological defects, are cable of trapping Majorana modes in superconducting topological materials. Previous studies have primarily focused on topological bands with conventional s-wave pairing. However, topological…

Superconductivity · Physics 2026-02-02 Zhongyi Zhang , Zixi Fang , Shengshan Qin , Peng Zhang , Hoi Chun Po , Xianxin Wu

Majorana Fermions, strange particles that are their own antiparticles, were predicted in 1937 and have been sought after ever since. In condensed matter they are predicted to exist as vortex core or edge excitations in certain exotic…

Superconductivity · Physics 2013-08-12 Aaron Farrell , T. Pereg-Barnea

Condensed matter systems with flat bands close to the Fermi level generally exhibit, due to their very large density of states, extraordinary high critical ordering temperatures of symmetry breaking orders, such as superconductivity and…

Superconductivity · Physics 2017-08-22 Tomas Löthman , Annica M. Black-Schaffer

Majorana zero modes in condensed matter systems have been the subject of much interest in recent years. Their non-Abelian exchange statistics, making them a unique state of matter, and their potential applications in topological quantum…

Mesoscale and Nanoscale Physics · Physics 2022-01-26 Omri Lesser , Yuval Oreg

Majorana fermions are predicted to play a crucial role in condensed matter realizations of topological quantum computation. These heretofore undiscovered quasiparticles have been predicted to exist at the cores of vortex excitations in…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Hsiang-Hsuan Hung , Pouyan Ghaemi , Taylor L. Hughes , Matthew J. Gilbert

Majorana bound states in topological superconductors have attracted intense research activity in view of applications in topological quantum computation. However, they are not the only example of topological bound states that can occur in…

Mesoscale and Nanoscale Physics · Physics 2022-03-18 Lucia Vigliotti , Fabio Cavaliere , Matteo Carrega , Niccolò Traverso Ziani

We address the issue whether it is possible to generate Majorana bound states at the magnetic-superconducting interface in two-dimensional topological insulators with hidden Dirac points in the spectrum. In this case, the Dirac point of…

Mesoscale and Nanoscale Physics · Physics 2020-08-12 Ferdinand Schulz , Kirill Plekhanov , Daniel Loss , Jelena Klinovaja

In mean-field descriptions of nodal d-wave superconductors, generic edges exhibit dispersionless Majorana fermion bands at zero-energy. These states give rise to an extensive ground-state degeneracy, and are protected by time-reversal (TR)…

Superconductivity · Physics 2014-03-26 Andrew C. Potter , Patrick A. Lee

Phase crystals are a class of nonuniform superconducting ground states characterized by spontaneous phase gradients of the superconducting order parameter. These phase gradients nonlocally drive periodic currents and magnetic fields, thus…