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Related papers: Berry phases and zero-modes in toroidal topologica…

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Recently by using quantized Berry phases, a prescription for a local characterization of gapped topological insulators is given. One requires the ground state is gapped and is invariant under some anti-unitary operation. A spin liquid which…

Strongly Correlated Electrons · Physics 2015-06-25 Yasuhiro Hatsugai

In three-dimensional topological insulators (3D TI) nanowires, transport occurs via gapless surface states where the spin is fixed perpendicular to the momentum[1-6]. Carriers encircling the surface thus acquire a \pi Berry phase, which is…

Mesoscale and Nanoscale Physics · Physics 2019-05-22 S. Cho , B. Dellabetta , R. D. Zhong , J. Schneeloch , T. S. Liu , G. Gu , Matthew J. Gilbert , Nadya Mason

The non-chiral edge excitations of quantum spin Hall systems and topological insulators are described by means of their partition function. The stability of topological phases protected by time-reversal symmetry is rediscussed in this…

Strongly Correlated Electrons · Physics 2015-06-17 Andrea Cappelli , Enrico Randellini

We study transport properties of a topological insulator nanowire when a magnetic field is applied along its length. We predict that with strong surface disorder, a characteristic signature of the band topology is revealed in Aharonov Bohm…

Mesoscale and Nanoscale Physics · Physics 2011-06-15 Yi Zhang , Ashvin Vishwanath

The quasiclassical dynamics is studied for charge carriers moving on the surface of 3D topological insulator of Bi2Te3 type and subjected to static magnetic field. The effects connected to the symmetry changes of electron isoenergetic…

Mesoscale and Nanoscale Physics · Physics 2015-04-01 V. Ya. Demikhovskii , R. V. Turkevich

The electronic structures of graphene systems and topological insulators have closely-related features, such as quantized Berry phase and zero-energy edge states. The reason for these analogies is that in both systems there are two relevant…

Mesoscale and Nanoscale Physics · Physics 2012-08-21 Jian Li , Ivar Martin , Markus Buttiker , Alberto F. Morpurgo

We show that topological transitions in electronic spin transport are feasible by a controlled manipulation of spin-guiding fields. The transitions are determined by the topology of the fields texture through an effective Berry phase…

Bi$_{2}$Se$_{3}$ is a well known 3D-topological insulators(TI) with a non-trivial Berry phase of $ \left(2n+1\right)\pi $ attributed to the topology of the band structure. The Berry phase shows non-topological deviations from $…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Parijat Sengupta

Topological insulators are characterized by the presence of gapless surface modes protected by time-reversal symmetry. In three space dimensions the magnetoelectric response is described in terms of a bulk theta term for the electromagnetic…

Strongly Correlated Electrons · Physics 2013-05-29 Brian Swingle , Maissam Barkeshli , John McGreevy , T. Senthil

Despite the extensive studies of topological states, their characterization in strongly nonlinear classical systems has been lacking. In this work, we identify the proper definition of Berry phase for nonlinear bulk modes and characterize…

Disordered Systems and Neural Networks · Physics 2022-06-22 Di Zhou , D. Zeb Rocklin , Michael Leamy , Yugui Yao

Topological properties lie at the heart of many fascinating phenomena in solid state systems such as quantum Hall systems or Chern insulators. The topology can be captured by the distribution of Berry curvature, which describes the geometry…

Quantum Gases · Physics 2016-05-31 N. Fläschner , B. S. Rem , M. Tarnowski , D. Vogel , D. -S. Lühmann , K. Sengstock , C. Weitenberg

The interacting bosons in one-dimensional inversion-symmetric superlattices are investigated from the topological aspect. The complete phase diagram is obtained by an atomic-limit analysis and quantum Monte Carlo simulations and comprises…

Quantum Gases · Physics 2015-06-23 Tianhe Li , Huaiming Guo , Shu Chen , Shun-Qing Shen

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

The interplay of topological electronic band structures and strong interparticle interactions provides a promising path towards the constructive design of robust, long-range entangled many-body systems. As a prototype for such systems, we…

Strongly Correlated Electrons · Physics 2025-02-19 Steffen Bollmann , Chandan Setty , Urban F. P. Seifert , Elio J. König

A distinguishing feature of Dirac fermions is the Berry phase of $\pi$ associated with their cyclotron motions. Since this Berry phase can be experimentally assessed by analyzing the Landau-level fan diagram of the Shubnikov-de Haas (SdH)…

Materials Science · Physics 2015-05-27 A. A. Taskin , Yoichi Ando

We explore the interplay between Berry curvature and topological properties in single-flavor color superconductors, where quarks form spin-one Cooper pairs. By deriving a new relation, we connect the topological nodal structure of the gap…

Nuclear Theory · Physics 2025-05-27 Noriyuki Sogabe , Yi Yin

We propose the $\mathbb{Z}_Q$ Berry phase as a topological invariant for higher-order symmetry-protected topological (HOSPT) phases for two- and three-dimensional systems. It is topologically stable for electron-electron interactions…

Strongly Correlated Electrons · Physics 2020-01-15 Hiromu Araki , Tomonari Mizoguchi , Yasuhiro Hatsugai

We consider chiral, generally nonlinear density waves in one dimension, modelling the bosonized edge modes of a two-dimensional fermionic topological insulator. Using the coincidence between bosonization and Lie-Poisson dynamics on an…

Mesoscale and Nanoscale Physics · Physics 2025-09-18 Mathieu Beauvillain , Blagoje Oblak , Marios Petropoulos

We report the strong experimental evidence of the existence of topological surface states with large electric field tunability and mobility in beta-Ag2Te. Pronounced 2D SdH oscillations have been observed in beta-Ag2Te nanoplates. A Berry…

Mesoscale and Nanoscale Physics · Physics 2014-05-19 Azat Sulaev , Weiguang Zhu , Kie Leong Teo , Lan Wang

We describe the possibility for topologically robust edge states existing on interfaces of triangular lattices which are supported by rotational symmetries that are sensitive to boundary conditions. Such states are trivial from the…

Mesoscale and Nanoscale Physics · Physics 2022-10-19 Robert J. Davis , Yun Zhou , Dia'aaldin J. Bisharat , Prabhakar R. Bandaru , Daniel F. Sievenpiper