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Topological Dirac semimetals with accidental band touching between conduction and valence bands protected by time reversal and inversion symmetry are at the frontier of modern condensed matter research. Theoretically one can get Weyl and/or…

We consider an interface between two strong time-reversal invariant topological insulators having surface states with opposite spin chirality, or equivalently, opposite mirror Chern number. We show that such an interface supports gapless…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 Christophe De Beule , Rolando Saniz , Bart Partoens

This paper proposes a quantitative description of the low energy edge states at the interface between two-dimensional topological insulators. They are modeled by continuous Hamiltonians as systems of Dirac equations that are amenable to a…

Mathematical Physics · Physics 2018-08-16 Guillaume Bal

Topological phases and topological phase transitions (TPT) are among the most fantastic phenomena in Nature. Here we show that injecting a current may lead to new topological phases, especially new gapless topological metallic phases with…

Mesoscale and Nanoscale Physics · Physics 2023-03-14 Fadi Sun , Jinwu Ye

Intensive studies for more than three decades have elucidated multiple superconducting phases and odd-parity Cooper pairs in a heavy fermion superconductor UPt$_3$. We identify a time-reversal invariant superconducting phase of UPt$_3$ as a…

Superconductivity · Physics 2017-06-30 Youichi Yanase , Ken Shiozaki

Recently, higher-order topological insulators have been attracting extensive interest. Unlike the conventional topological insulators that demand bulk gap closings at transition points, the higher-order band topology can be changed without…

Other Condensed Matter · Physics 2022-06-15 Juan Du , Tianzi Li , Xiying Fan , Qicheng Zhang , Chunyin Qiu

Topological phases of matter are described universally by topological field theories in the same way that symmetry-breaking phases of matter are described by Landau-Ginzburg field theories. We propose that topological insulators in two and…

Strongly Correlated Electrons · Physics 2015-03-17 Gil Young Cho , Joel E. Moore

Topological insulators are a new class of materials which have gapped spectra in the bulk, but are accompanied by topologically protected gapless excitations at the surface (edge) of the system. These phenomena have a close relationship…

Mesoscale and Nanoscale Physics · Physics 2015-11-30 Taro Kimura

We study theoretically the interplay between magnetism and topology in three-dimensional HgTe/MnTe superlattices stacked along the (001) axis. Our results show the evolution of the magnetic topological phases with respect to the magnetic…

While quasi-two-dimensional (layered) materials can be highly anisotropic, their asymptotic long-distance behavior generally reflects the properties of a fully three dimensional phase of matter. However, certain topologically ordered…

Strongly Correlated Electrons · Physics 2020-09-30 Trithep Devakul , S. L. Sondhi , S. A. Kivelson , Erez Berg

Crystalline symmetry and time-reversal symmetry are commonly present in real superconducting materials. However, the topological classification of systems respecting these symmetries, particularly for interacting fermions, remains…

Strongly Correlated Electrons · Physics 2026-02-25 Yi-Ming Liu , Wei-Qiang Chen , Zheng-Cheng Gu

Symmetries play an essential role in identifying and characterizing topological states of matter. Here, we classify topologically two-dimensional (2D) insulators and semimetals with vanishing spin-orbit coupling using time-reversal…

Mesoscale and Nanoscale Physics · Physics 2016-12-14 Guido van Miert , Carmine Ortix , Cristiane Morais Smith

In an ordinary three-dimensional metal the Fermi surface forms a two-dimensional closed sheet separating the filled from the empty states. Topological semimetals, on the other hand, can exhibit protected one-dimensional Fermi lines or…

Mesoscale and Nanoscale Physics · Physics 2016-05-24 Y. -H. Chan , Ching-Kai Chiu , M. Y. Chou , Andreas P. Schnyder

We present an exactly solvable spin-orbital model based on the Gamma-matrix generalization of a Kitaev-type Hamiltonian. In the presence of small magnetic fields, the model exhibits a critical phase with a spectrum characterized by…

Mesoscale and Nanoscale Physics · Physics 2010-07-13 Gia-Wei Chern

By first-principles calculations, we find that Ba2X(X=Si, Ge) hosts a topological semimetal phase with one nodal ring in the kx=0 plane, which is protected by the glide mirror symmetry when spin-orbit coupling (SOC) is ignored. The…

Mesoscale and Nanoscale Physics · Physics 2016-10-18 Ziming Zhu , Mingda Li , Ju Li

Topological insulators are new states of quantum matter in which surface states residing in the bulk insulating gap are protected by time-reversal symmetry. When a proper kind of antiferromagnetic long range order is established in a…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Jing Wang , Rundong Li , Shou-Cheng Zhang , Xiao-Liang Qi

Topological insulators(1-8) are a novel form of matter which features metallic surface states with quasirelativistic dispersion similar to graphene(9). Unlike graphene, the locking of spin and momentum and the protection by time-reversal…

Mesoscale and Nanoscale Physics · Physics 2012-07-23 M. R. Scholz , J. Sánchez-Barriga , D. Marchenko , A. Varykhalov , A. Volykhov , L. V. Yashina , O. Rader

We propose two possible experimental realizations of a 2+1 dimensional spacetime supersymmetry at a quantum critical point on the surface of three dimensional topological insulators. The quantum critical point between the semi-metallic…

Strongly Correlated Electrons · Physics 2014-02-17 Pedro Ponte , Sung-Sik Lee

Our understanding of topological insulators is based on an underlying crystalline lattice where the local electronic degrees of freedom at different sites hybridize with each other in ways that produce nontrivial band topology, and the…

Mesoscale and Nanoscale Physics · Physics 2017-10-03 Adhip Agarwala , Vijay B. Shenoy

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