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We use low-depth quantum circuits, a specific type of tensor networks, to classify two-dimensional symmetry-protected topological many-body localized phases. For (anti-)unitary on-site symmetries we show that the (generalized) third…

Disordered Systems and Neural Networks · Physics 2020-07-29 Joey Li , Amos Chan , Thorsten B. Wahl

Topological superconductors have become a subject of intense research due to their potential use for technical applications in device fabrication and quantum information. Besides fully gapped superconductors, unconventional superconductors…

Superconductivity · Physics 2015-05-26 Andreas P. Schnyder , P. M. R. Brydon

Superconductors with nontrivial band structure topology represent a class of materials with unconventional and potentially useful properties. Recent years have seen much success in creating artificial hybrid structures exhibiting main…

Topological insulators in three dimensions are nonmagnetic insulators that possess metallic surface states as a consequence of the nontrivial topology of electronic wavefunctions in the bulk of the material. They are the first known…

Strongly Correlated Electrons · Physics 2012-01-26 M. Zahid Hasan , Joel E. Moore

We study the competition of disorder and superconductivity for a one-dimensional p-wave superconductor in incommensurate potentials. With the increase in the strength of the incommensurate potential, the system undergoes a transition from a…

Disordered Systems and Neural Networks · Physics 2015-03-20 Xiaoming Cai , Li-Jun Lang , Shu Chen , Yupeng Wang

Superconductivity in topological materials has drawn a significant interest of the scientific community as these materials provide a hint of the existence of Majorana fermions conceived from the quantized thermal conductivity, a zero-biased…

Superconductivity · Physics 2022-04-27 M. M. Sharma , Prince Sharma , N. K. Karn , V. P. S. Awana

Topological superconductors are gapped superconductors with gapless and topologically robust quasiparticles propagating on the boundary. In this paper, we present a topological field theory description of three-dimensional time-reversal…

Superconductivity · Physics 2013-04-29 Xiao-Liang Qi , Edward Witten , Shou-Cheng Zhang

In this work, we study how, with the aid of impurity engineering, two-dimensional $p$-wave superconductors can be employed as a platform for one-dimensional topological phases. We discover that, while chiral and helical parent states…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 Isac Sahlberg , Alex Westström , Kim Pöyhönen , Teemu Ojanen

Topological superconductors (TSCs) are of significant current interest because they offer promising platforms for finding Majorana fermions. Here we report a new superconductor synthesized by intercalating Cu into a naturally-formed…

Superconductivity · Physics 2015-06-19 Satoshi Sasaki , Kouji Segawa , Yoichi Ando

We present a generalization of free fermionic topological insulators that are composed of topological subsystems of differing dimensionality. We specifically focus on topological subsystems of nonzero co-dimension are embedded within a…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 Thomas I. Tuegel , Victor Chua , Taylor L. Hughes

It is commonly assumed that topological phase transitions in topological superconductors are accompanied by a closing of the topological gap or a change of the symmetry of the system. We demonstrate that an unconventional topological phase…

Superconductivity · Physics 2021-06-16 Maciej M. Maśka , Nicholas Sedlmayr , Aksel Kobiałka , Tadeusz Domański

Three dimensional topological insulators are bulk insulators with $\mathbf{Z}_2$ topological electronic order that gives rise to conducting light-like surface states. These surface electrons are exceptionally resistant to localization by…

Mesoscale and Nanoscale Physics · Physics 2017-03-07 Yishuai Xu , Janet Chiu , Lin Miao , Haowei He , Zhanybek Alpichshev , A. Kapitulnik , Rudro R. Biswas , L. Andrew Wray

We introduce exactly solvable gapless quantum systems in $d$ dimensions that support symmetry protected topological (SPT) edge modes. Our construction leads to long-range entangled, critical points or phases that can be interpreted as…

Strongly Correlated Electrons · Physics 2017-12-08 Thomas Scaffidi , Daniel E. Parker , Romain Vasseur

3D topological insulator/s-wave superconductor heterostructures have been predicted as candidate systems for the observation of Majorana fermions in the presence of superconducting vortices. In these systems, Majorana fermions are expected…

Superconductivity · Physics 2015-05-30 Ching-Kai Chiu , Matthew J. Gilbert , Taylor L. Hughes

A spin-U(1)-symmetry protected momentum-dependent integer-$Z$-valued topological invariant is proposed to time-reversal-invariant (TRI) superconductivity (SC) whose nonzero value will lead to exactly flat surface band(s). The theory is…

Superconductivity · Physics 2020-07-20 Cheng-Cheng Liu , Chen Lu , Li-Da Zhang , Xianxin Wu , Chen Fang , Fan Yang

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…

Mesoscale and Nanoscale Physics · Physics 2021-07-12 Omri Lesser , Andrew Saydjari , Marie Wesson , Amir Yacoby , Yuval Oreg

We investigate states on the surface of strong and weak topological insulators and superconductors that have been gapped by a symmetry breaking term. The surface of a strong 3D topological insulator gapped by a magnetic material is well…

Mesoscale and Nanoscale Physics · Physics 2014-10-07 Ching-Kai Chiu

We establish the existence of a topological classification of many-particle quantum systems undergoing unitary time evolution. The classification naturally inherits phenomenology familiar from equilibrium -- it is robust against disorder…

Strongly Correlated Electrons · Physics 2019-02-26 Max McGinley , Nigel R. Cooper

In the past few years materials with protected gapless surface (edge) states have risen to the central stage of condensed matter physics. Almost all discussions centered around topological insulators and superconductors, which possess full…

Superconductivity · Physics 2013-10-01 Fa Wang , Dung-Hai Lee

Topological materials have become the focus of intense research in recent years, since they exhibit fundamentally new physical phenomena with potential applications for novel devices and quantum information technology. One of the hallmarks…

Mesoscale and Nanoscale Physics · Physics 2016-09-01 Ching-Kai Chiu , Jeffrey C. Y. Teo , Andreas P. Schnyder , Shinsei Ryu
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