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We theoretically address spin chain analogs of the Kitaev quantum spin model on the honeycomb lattice. The emergent quantum spin liquid phases or Anderson resonating valence bond (RVB) states can be understood, as an effective model, in…

强关联电子 · 物理学 2017-11-15 Karyn Le Hur , Ariane Soret , Fan Yang

Topological properties of physical systems can lead to robust behaviors that are insensitive to microscopic details. Such topologically robust phenomena are not limited to static systems but can also appear in driven quantum systems. In…

介观与纳米尺度物理 · 物理学 2010-12-14 Takuya Kitagawa , Erez Berg , Mark Rudner , Eugene Demler

We investigate traveling solitons of a one-dimensional spin-orbit coupled Fermi superfluid in both topologically trivial and non-trivial regimes by solving the static and time-dependent Bogoliubov-de Gennes equations. We find a critical…

量子气体 · 物理学 2016-11-30 Peng Zou , Joachim Brand , Xia-Ji Liu , Hui Hu

The non-Abelian exchange statistics of Majorana zero modes make them interesting for both technological applications and fundamental research. Unlike their non-Abelian counterpart, the Abelian contribution, $e^{i\theta}$, where $\theta$ is…

介观与纳米尺度物理 · 物理学 2026-02-06 Stijn R. de Wit , Emre Duman , A. Mert Bozkurt , Alexander Brinkman , Inanc Adagideli

We relate physical time with the topology of magnetic field vortices. We base ourselves on a formulation of unimodular gravity where the cosmological constant $\Lambda$ appears as the canonical dual to a variable which on-shell becomes…

高能物理 - 理论 · 物理学 2024-06-24 Altay Etkin , João Magueijo , Farbod-Sayyed Rassouli

The equilibrium behavior of vortices in the classical two-dimensional (2D) XY model with uncorrelated random phase shifts is investigated. The model describes Josephson-Junction arrays with positional disorder, and has ramifications in a…

凝聚态物理 · 物理学 2009-10-28 Lei-Han Tang

Formation and evolution of topological defects in course of non-equilibrium symmetry breaking phase transitions is of wide interest in many areas of physics, from cosmology through condensed matter to low temperature physics. Its study in…

高能物理 - 理论 · 物理学 2021-03-17 Hua-Bi Zeng , Chuan-Yin Xia , Hai-Qing Zhang

Exactly solvable lattice models for spins and non-interacting fermions provide fascinating examples of topological phases, some of them exhibiting the localized Majorana fermions that feature in proposals for topological quantum computing.…

介观与纳米尺度物理 · 物理学 2011-09-28 G. Kells , J. Kailasvuori , J. Slingerland , J. Vala

Topological superconductivity in quasi-one-dimensional systems is a novel phase of matter with possible implications for quantum computation. Despite years of effort, a definitive signature of this phase in experiments is still debated. A…

介观与纳米尺度物理 · 物理学 2021-07-12 Omri Lesser , Andrew Saydjari , Marie Wesson , Amir Yacoby , Yuval Oreg

We show that a topological phase supporting Majorana fermions can form in a 2D electron gas (2DEG) adjacent to an interdigitated superconductor-ferromagnet structure. An advantage of this setup is that the 2DEG can induce the required…

超导电性 · 物理学 2012-09-19 Shu-Ping Lee , Jason Alicea , Gil Refael

Topological photonics sheds light on some of the surprising phenomena seen in condensed matter physics that arise with the appearance of topological invariants. Optical waveguides provide a well-controlled platform to investigate effects…

介观与纳米尺度物理 · 物理学 2020-09-16 Adrian J Menssen , Jun Guan , David Felce , Martin J Booth , Ian A Walmsley

We study topological transitions in one dimensional superconductors that can harbor multiple edge Majorana bound states protected by chiral symmetry. The chiral symmetry arises due to the structure of the internal spin degrees of freedom of…

超导电性 · 物理学 2025-05-05 Kristian Løvås Svalland , Maria Teresa Mercaldo , Mario Cuoco

We present a new scheme for Majorana modes in systems with nonsymmporhic-symmetry-protected band degeneracy. We reveal that when the gapless fermionic excitations are encoded with conventional superconductivity and magnetism, which can be…

超导电性 · 物理学 2024-10-10 Zhongyi Zhang , Zhenfei Wu , Chen Fang , Fu-chun Zhang , Jiangping Hu , Yuxuan Wang , Shengshan Qin

We unveil an interesting example of topological flat bands of Majorana fermions in quantum spin liquids. We study the Kitaev model on a periodically depleted honeycomb lattice, under a magnetic field within the perturbation theory. The…

强关联电子 · 物理学 2025-10-10 Kiyu Fukui , Yukitoshi Motome

We study quantum phase transitions in the honeycomb Kitaev model under a magnetic field, focusing on the topological nature of Majorana fermion excitations. We find a gapless phase between the low-field gapless quantum spin liquid and the…

强关联电子 · 物理学 2018-09-12 Joji Nasu , Yasuyuki Kato , Yoshitomo Kamiya , Yukitoshi Motome

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…

超导电性 · 物理学 2017-11-08 Yuxuan Wang , Liang Fu

Majorana vortex phases have been extensively studied in topological materials with conventional superconducting pairing. Inspired by recent experimental progress in realizing time-reversal invariant higher-order topological insulators…

超导电性 · 物理学 2026-05-22 Xun-Jiang Luo , Mingliang Tian

We provide an argument based on flux insertion to show that certain superconductors with a non-trivial topological invariant have protected zero modes in their vortex cores. This argument has the flavor of a two dimensional index theorem…

超导电性 · 物理学 2015-05-18 Rahul Roy

Higher-order topological superfluids have gapped bulk and symmetry-protected Majorana zero modes with various localizations. Motivated by recent advances, we present a proposal for synthesizing multi-order topological superfluids that…

量子气体 · 物理学 2021-07-09 Yu-Biao Wu , Guang-Can Guo , Zhen Zheng , Xu-Bo Zou

Time-quasiperiodic Majoranas are generalizations of Floquet Majoranas in time-quasiperiodic superconducting systems. We show that in a system driven at $d$ mutually irrational frequencies, there are up to $2^d$ types of such Majoranas,…

介观与纳米尺度物理 · 物理学 2019-01-09 Yang Peng , Gil Refael