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We study the phase transition between a trivial and a time-reversal-invariant topological superconductor in a single-band system. By analyzing the interplay of symmetry, topology and energetics, we show that for a generic normal state band…

Superconductivity · Physics 2017-11-08 Yuxuan Wang , Liang Fu

We find a series of topological phase transitions in a half-metal/superconductor heterostructure, by tuning the direction of the magnetization of the half-metal film. These include transitions between a topological superconducting phase…

Superconductivity · Physics 2016-10-18 Lei Hao , C. S. Ting

We further investigate a class of time-reversal-invariant two-band s-wave topological superconductors introduced in Phys. Rev. Lett. 108, 036803 (2012). We show how, in the presence of time-reversal symmetry, Z_2 invariants that distinguish…

Superconductivity · Physics 2015-06-15 Shusa Deng , Gerardo Ortiz , Lorenza Viola

Helical superconductors form a two dimensional, time-reversal invariant topological phase characterized by a Kramers pair of Majorana edge modes (helical Majorana modes). Existing detection schemes to identify this phase rely either on spin…

Superconductivity · Physics 2012-05-17 B. Béri

Chiral and helical Majorana edge modes are two archetypal gapless excitations of two-dimensional topological superconductors. They belong to superconductors from two different Altland-Zirnbauer symmetry classes characterized by $\mathbb{Z}$…

Mesoscale and Nanoscale Physics · Physics 2019-12-25 Haiping Hu , Indubala I. Satija , Erhai Zhao

We exhibit an interaction-driven metal-insulator quantum phase transition in a holographic model. Use of a helical lattice enables us to break translation invariance while preserving homogeneity. The metallic phase is characterized by a…

High Energy Physics - Theory · Physics 2013-01-22 Aristomenis Donos , Sean A. Hartnoll

In the heterostructure composed of a topological insulator sandwiched by two s-wave superconductors, the time reversal invariant topological superconducting phase, possessing helical Majorana edge modes, is found to exist when the two…

Mesoscale and Nanoscale Physics · Physics 2012-08-21 Chao-Xing Liu , Bjoern Trauzettel

We investigate the phase diagram of a three-dimensional, time-reversal symmetric topological superconductor in the presence of charge impurities and random $s$-wave pairing. Combining complimentary field theoretic and numerical methods, we…

Mesoscale and Nanoscale Physics · Physics 2017-06-02 Bitan Roy , Yahya Alavirad , Jay D. Sau

In the two-dimensional case the transition between ordinary and topological insulator states can be described by a massive Dirac model with the mass term changing its sign at the transition point. We theoretically investigate how such a…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 G. Tkachov , E. M. Hankiewicz

We discuss the effects of disorder in time-reversal invariant topological insulators and superconductors in three spatial dimensions. For three-dimensional topological insulator in symplectic (AII) symmetry class, the phase diagram in the…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Shinsei Ryu , Kentaro Nomura

For conventional topological phases, the boundary gapless modes are determined by bulk topological invariants. Based on developing an analytic method to solve higher-order boundary modes, we present $PT$-invariant $2$D topological…

Mesoscale and Nanoscale Physics · Physics 2020-09-17 Kai Wang , Jia-Xiao Dai , L. B. Shao , Shengyuan A. Yang , Y. X. Zhao

Topological insulators, along with Chern insulators and Quantum Hall insulator phases, are considered as paradigms for symmetry protected topological phases of matter. This article reports the experimental realization of the time-reversal…

Mesoscale and Nanoscale Physics · Physics 2021-01-01 Priya Tiwari , Saurabh Kumar Srivastav , Sujay Ray , Tanmoy Das , Aveek Bid

We study the universality class for localization which arises from models of non-interacting quasiparticles in disordered superconductors that have neither time-reversal nor spin-rotation symmetries. Two-dimensional systems in this…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. T. Chalker , N. Read , V. Kagalovsky , B. Horovitz , Y. Avishai , A. W. W. Ludwig

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

Most superconductors are thermal insulators. A disordered chiral $\textit{p}$-wave superconductor, however, can make a transition to a thermal metal phase. Because heat is then transported by Majorana fermions, this phase is referred to as…

Mesoscale and Nanoscale Physics · Physics 2025-03-03 V. A. Zakharov , I. C. Fulga , G. Lemut , J. Tworzydlo , C. W. J. Beenakker

We propose a characterization of zero temperature phases in disordered superconductors on the basis of the nature of quasiparticle transport. In three dimensional systems, there are two distinct phases in close analogy to the distinction…

Superconductivity · Physics 2009-10-31 S. Vishveshwara , T. Senthil , Matthew P. A. Fisher

We study the time reversal (T) symmetry breaking of 2d helical fermi liquid, with application to the edge states of 3d topological band insulators with only one two-component Dirac fermion at finite chemical potential, as well as other…

Strongly Correlated Electrons · Physics 2015-05-13 Cenke Xu

The ground state of large Hubbard $U$ limit of a honeycomb lattice near half-filling is known to be a singlet $d+id$-wave superconductor. It is also known that this $d+id$ superconductor exhibits a chiral $p+ip$ pairing locally at the Dirac…

Superconductivity · Physics 2016-02-24 Shin-Ming Huang , Wei-Feng Tsai , Chung-Hou Chung , Chung-Yu Mou

We propose helical topological superconductivity away from the Fermi surface in three-dimensional time-reversal-symmetric odd-parity multiband superconductors. In these systems, pairing between electrons originating from different bands is…

Mesoscale and Nanoscale Physics · Physics 2024-07-01 Masoud Bahari , Song-Bo Zhang , Chang-An Li , Sang-Jun Choi , Philipp Rüßmann , Carsten Timm , Björn Trauzettel

The discovery of unconventional superconductivity in the heavy-fermion material UTe$_2$ has reinvigorated research of spin-triplet superconductivity. We perform a theoretical study of coupled two-component spin-triplet superconducting order…

Superconductivity · Physics 2024-02-23 Henrik S. Røising , Max Geier , Andreas Kreisel , Brian M. Andersen
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