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We develop a unified view of topological phase transitions (TPTs) in solids by revising the classical band theory with the inclusion of topology. Re-evaluating the band evolution from an "atomic crystal" [a normal insulator (NI)] to a solid…

材料科学 · 物理学 2020-05-11 Huaqing Huang , Feng Liu

We consider a one-dimensional, time-reversal-invariant system with attractive interactions and spin-orbit coupling. Such a system is gapless due to the strong quantum fluctuations of the superconducting order parameter. However, we show…

介观与纳米尺度物理 · 物理学 2015-06-18 Anna Keselman , Erez Berg

We give a pedagogical introduction to topologically ordered states of matter, with the aim of familiarizing the reader with their axiomatic topological quantum field theory description. We introduce basic noninteracting topological phases…

强关联电子 · 物理学 2015-09-21 Andrei Bernevig , Titus Neupert

We investigate a system consisting of one or two topological-insulator leads which are tunnel coupled to a single dot level. The leads are described by the one-dimensional Su-Schrieffer-Heeger model. We show that (topological) edge states…

介观与纳米尺度物理 · 物理学 2022-03-18 Martin T. Maurer , Yen-Ting Lin , Dante M. Kennes , Mikhail Pletyukhov , Herbert Schoeller , Volker Meden

We consider a mean-field Hamiltonian for a $d_{x^2-y^2}+(p+ip)$ superconductor(SC) in presence of spin-density-wave(SDW) order. This is due to the fact that the non-commutativity of any two orders produces the third one. The energy spectrum…

超导电性 · 物理学 2016-02-17 Amit Gupta , Debanand Sa

A salient feature of topological phases are surface states and many of the widely studied physical properties are directly tied to their existence. Although less explored, a variety of topological phases can however similarly be…

介观与纳米尺度物理 · 物理学 2021-08-11 Toshikaze Kariyado , Robert-Jan Slager

Topological states enable robust transport within disorder-rich media through integer invariants inextricably tied to the transmission of light, sound, or electrons. However, the challenge remains to exploit topological protection in a…

光学 · 物理学 2023-02-03 Nathan Roberts , Guido Baardink , Josh Nunn , Peter J. Mosley , Anton Souslov

We consider core-shell nanowires with prismatic geometry contacted with two or more superconductors in the presence of a magnetic field applied parallel to the wire. In this geometry, the lowest energy states are localized on the outer…

介观与纳米尺度物理 · 物理学 2018-05-23 Tudor D. Stanescu , Anna Sitek , Andrei Manolescu

We investigate string correlations in an infinite-size spin-1/2 bond-alternating Heisenberg chain. By employing the infinite matrix product state representation with the infinite time evolving block decimation method, a finite string…

统计力学 · 物理学 2013-05-30 Hai Tao Wang , Bo Li , Sam Young Cho

Coherent electron transport through a quantum channel in the presence of a general extended scattering potential is investigated using a T-matrix Lippmann-Schwinger approach. The formalism is applied to a quantum wire with Gaussian type…

Recent years have witnessed a surge of interest in performing measurements within topological phases of matter, e.g., symmetry-protected topological (SPT) phases and topological orders. Notably, measurements of certain SPT states have been…

强关联电子 · 物理学 2023-10-30 Yabo Li , Mikhail Litvinov , Tzu-Chieh Wei

We investigate the effects of dissipation and driving on topological order in superconducting nanowires. Rather than studying the non-equilibrium steady state, we propose a method to classify and detect dynamical signatures of topological…

强关联电子 · 物理学 2019-03-07 Moos van Caspel , Sergio Enrique Tapias Arze , Isaac Pérez Castillo

A two-dimensional superconductor with spin-triplet p-wave pairing supports chiral or helical Majorana edge modes with a quantized (length $L$-independent) thermal conductance. Sufficiently strong anisotropy removes both chirality and…

介观与纳米尺度物理 · 物理学 2014-06-26 M. Diez , I. C. Fulga , D. I. Pikulin , J. Tworzydlo , C. W. J. Beenakker

We present a detailed study of the topological properties of the Kitaev chain with long-range pairing terms and in the presence of an Aubry-Andr\'e-Harper on-site potential. Specifically, we consider algebraically decaying superconducting…

介观与纳米尺度物理 · 物理学 2021-03-01 Joana Fraxanet , Utso Bhattacharya , Tobias Grass , Debraj Rakshit , Maciej Lewenstein , Alexandre Dauphin

The authors apply the generalized master equation to analyze time-dependent transport through a finite quantum wire with an embedded subsystem. The parabolic quantum wire and the leads with several subbands are described by a continuous…

介观与纳米尺度物理 · 物理学 2015-05-13 Vidar Gudmundsson , Cosmin Gainar , Chi-Shung Tang , Valeriu Moldoveanu , Andrei Manolescu

The topological phases of random Kitaev $\alpha$-chains are labelled by the number of localized edge Majorana Zero Modes. The critical lines between these phases thus correspond to delocalization transitions for these localized edge…

无序系统与神经网络 · 物理学 2018-10-18 Cecile Monthus

We present a reentrant phase transition in a bridging model between two different topological models: Kitaev and Haldane chains. This model is activated by introducing a bond alternation into the Kitaev chain [A. Yu Kitaev, Phys.-Usp. {\bf…

强关联电子 · 物理学 2017-12-20 Takanori Sugimoto , Mitsuyoshi Ohtsu , Takami Tohyama

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,…

强关联电子 · 物理学 2017-10-25 Motohiko Ezawa

A number of topological phases are found to emerge in the ferromagnetic Kitaev-Heisenberg model on CaVO lattice in the presence of Dzyaloshinskii-Moriya interaction. Heisenberg and Kitaev terms have been considered on nearest and…

强关联电子 · 物理学 2021-05-05 Moumita Deb , Asim Kumar Ghosh

We present an analytical solution for the full spectrum of Kitaev's one-dimensional p-wave superconductor with arbitrary hopping, pairing amplitude and chemical potential in the case of an open chain. We also discuss the structure of the…

介观与纳米尺度物理 · 物理学 2018-04-12 Iman Mahyaeh , Eddy Ardonne