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Topological phases feature robust edge states that are protected against the effects of defects and disorder. The robustness of these states presents opportunities to design technologies that are tolerant to fabrication errors and resilient…

We consider symmetry protected topological (SPT) phases with crystalline point group symmetry, dubbed point group SPT (pgSPT) phases. We show that such phases can be understood in terms of lower-dimensional topological phases with on-site…

Strongly Correlated Electrons · Physics 2017-04-06 Hao Song , Sheng-Jie Huang , Liang Fu , Michael Hermele

Symmetry plays a fundamental role in understanding complex quantum matter, particularly in classifying topological quantum phases, which have attracted great interests in the recent decade. An outstanding example is the time-reversal…

A symmetry-protected topologically ordered phase is a short-range entangled state, for which some imposed symmetry prohibits the adiabatic deformation into a trivial state which lacks entanglement. In this paper we argue that magnetization…

Strongly Correlated Electrons · Physics 2015-04-24 Shintaro Takayoshi , Keisuke Totsuka , Akihiro Tanaka

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

Topologically non-trivial superconductivity has been predicted to occur in superconductors with a sizable spin-orbit coupling in the presence of an external Zeeman splitting. Two such systems have been proposed: (a) s-wave superconductor…

Superconductivity · Physics 2011-06-07 Sumanta Tewari , Tudor D. Stanescu , Jay D. Sau , S. Das Sarma

Topological Kondo insulators are a rare example of an interaction-enabled topological phase of matter in three-dimensional crystals - making them an intriguing but also hard case for theoretical studies. Here, we aim to advance their…

Strongly Correlated Electrons · Physics 2020-04-29 Michael Klett , Seulgi Ok , David Riegler , Peter Wölfle , Ronny Thomale , Titus Neupert

We have experimentally realized novel space-time inversion (P-T) invariant Z2-type topological semimetal-bands, via an analogy between the momentum space and a controllable parameter space in superconducting quantum circuits. By measuring…

Quantum Physics · Physics 2017-11-03 Xinsheng Tan , Yuxin Zhao , Qiang Liu , Guangming Xue , Haifeng Yu , Zidan Wang , Yang Yu

We show that sharply defined topological quantum phase transitions are not limited to states of matter with gapped electronic spectra. Such transitions may also occur between two gapless metallic states both with extended Fermi surfaces.…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 Xuzhe Ying , Alex Kamenev

Recently topological superconducting states has attracted a lot of interest. In this work, we consider a topo- logical superconductor with $Z_2$ topological mirror order [1] and s$\pm$-wave superconducting pairing symmetry, within a…

Superconductivity · Physics 2015-11-18 Yuan-Yen Tai , Hongchul Choi , Towfiq Ahmed , C. S. Ting , Jian-Xin Zhu

An important aspect in categorizing topological phases is whether the system is spinless or spinful, given that these classes exhibit distinct symmetry algebras, leading to disparate topological classifications. By utilizing the projective…

Quantum Gases · Physics 2026-01-21 Xiaofan Zhou , Suotang Jia , Jian-Song Pan

A time reversal invariant (TRI) topological superconductor has a full pairing gap in the bulk and topologically protected gapless states on the surface or at the edge. In this paper, we show that in the weak pairing limit, the topological…

Superconductivity · Physics 2010-04-06 Xiao-Liang Qi , Taylor L. Hughes , Shou-Cheng Zhang

We study the spin transport properties of the non-centrosymmetric superconductor with time-reversal-symmetry where spin-triplet $(p_{x} \pm i p_{y})$-wave and spin-singlet s-wave pair potential can mix each other. We show that when the…

Superconductivity · Physics 2009-11-13 Yukio Tanaka , Takehito Yokoyama , Alexander V. Balatsky , Naoto Nagaosa

We investigate the influence of general forms of disorder on the robustness of superconductivity in multiband materials. Specifically, we consider a general two-band system where the bands arise from an orbital degree of freedom of the…

Superconductivity · Physics 2021-07-13 D. C. Cavanagh , P. M. R. Brydon

Topological phases stabilized by crystalline point group symmetry protection are a large class of symmetry-protected topological phases subjected to considerable experimental scrutiny. Here, we show that the canonical three-dimensional (3D)…

Strongly Correlated Electrons · Physics 2025-04-01 Michał J. Pacholski , Ashley M. Cook

The interplay between topology and crystalline symmetries in materials can lead to a variety of topological crystalline insulator (TCI) states. Despite significant effort towards their experimental realization, so far only…

Mesoscale and Nanoscale Physics · Physics 2019-11-18 Baokai Wang , Bahadur Singh , Barun Ghosh , Wei-Chi Chiu , M. Mofazzel Hosen , Qitao Zhang , Li Ying , Madhab Neupane , Amit Agarwal , Hsin Lin , Arun Bansil

Topological quantum paramagnets are exotic states of matter, whose magnetic excitations have a topological band structure, while the ground state is topologically trivial. Here we show that a simple model of quantum spins on a honeycomb…

Strongly Correlated Electrons · Physics 2019-07-31 Darshan G. Joshi , Andreas P. Schnyder

We show that when spin and orbital angular momenta are entangled by spin-orbit coupling, this transforms a topological spin-triplet superfluid/superconductor state, such as $^{3}$He-B, into a topological $s^{\pm}$ state, with non-trivial…

Superconductivity · Physics 2014-11-26 T. Tzen Ong , Piers Coleman

We study the topological properties of a spin-orbit coupled Hofstadter model on the Kagome lattice. The model is time-reversal invariant and realizes a $\mathbb{Z}_2$ topological insulator as a result of artificial gauge fields. We develop…

Strongly Correlated Electrons · Physics 2021-05-04 Irakli Titvinidze , Julian Legendre , Maarten Grothus , Bernhard Irsigler , Karyn Le Hur , Walter Hofstetter

Topological superconductors are exotic phases of matter featuring robust surface states that could be leveraged for topological quantum computation. A useful guiding principle for the search of topological superconductors is to relate the…

Superconductivity · Physics 2020-05-05 Seishiro Ono , Hoi Chun Po , Haruki Watanabe