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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

Modern theory of electric polarization is formulated by the Berry phase, which, when quantized, leads to topological phases of matter. Such a formulation has recently been extended to higher electric multipole moments, through the discovery…

Mesoscale and Nanoscale Physics · Physics 2020-07-09 Yan-Bin Yang , Kai Li , L. -M. Duan , Yong Xu

We investigate the effect of the environment on a Berry phase measurement involving a spin-half. We model the spin+environment using a biased spin-boson Hamiltonian with a time-dependent magnetic field. We find that, contrary to naive…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Robert S. Whitney , Yuval Gefen

The binary compounds FeSi, RuSi, and OsSi are chiral insulators crystallizing in the space group P2_13 which is cubic. By means of ab initio calculations we find for these compounds a non-vanishing electronic Berry phase, the sign of which…

Materials Science · Physics 2015-06-17 J. Kubler , B. Yan , C. Felser

We propose a topological quantum phase transition for quantum states with different Berry phases in hole-doped III-V semiconductor quantum wells with bulk and structure inversion asymmetry. The Berry phase of the occupied Bloch states can…

Mesoscale and Nanoscale Physics · Physics 2007-08-09 Bin Zhou , Chao-Xing Liu , Shun-Qing Shen

By implementing a charge pumping scheme for one-dimensional aperiodic chains, we confirm the existence of topological phases in these systems whenever their finite-size realizations admit inversion symmetry. These phases are usually…

Disordered Systems and Neural Networks · Physics 2025-01-06 A. Moustaj , J. P. J. Krebbekx , C. Morais Smith

The notion of topological insulators (TIs), characterized by an insulating bulk and conducting topological surface states, can be extended to higher-order topological insulators (HOTIs) hosting gapless modes localized at the boundaries of…

The picture of how a gap closes in a semiconductor has been radically transformed by topological concepts. Instead of the gap closing and immediately re-opening, topological arguments predict that, in the absence of inversion symmetry, a…

Strongly Correlated Electrons · Physics 2017-10-25 Tian Liang , Satya Kushwaha , Jinwoong Kim , Quinn Gibson , Jingjing Lin , Nicholas Kioussis , R. J. Cava , N. P. Ong

The opening of a band gap due to compressive uniaxial strain renders bulk HgTe a strong three-dimensional topological insulators with protected gapless surface states at any surface. By employing a six-band k.p model, we determine the spin…

Mesoscale and Nanoscale Physics · Physics 2017-01-05 Frank Kirtschig , Jeroen van den Brink , Carmine Ortix

Electrons hopping on the sites of a three-dimensional pyrochlore lattice are shown to form topologically non-trivial insulating phases when the spin-orbit (SO) coupling and lattice distortions are present. Of 16 possible topological classes…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 H. -M. Guo , M. Franz

The three dimensional (3D) topological insulators are predicted to exhibit a 3D Dirac semimetal state in critical regime of topological to trivial phase transition. Here we demonstrate the first experimental evidence of 3D Dirac semimetal…

Mesoscale and Nanoscale Physics · Physics 2016-01-11 Devendra Kumar , Archana Lakhani

Motivated by intertwined crystal symmetries and topological phases, we study the possible realization of topological insulator in nonsymmorphic crystals at integer fillings. In particular, we consider spin orbit coupled electronic systems…

Strongly Correlated Electrons · Physics 2019-05-01 Hyeok-Jun Yang , SungBin Lee

We propose an altermagnet-topological insulator bilayer as a platform to engineer Berry phase driven spin-charge responses using an interfacial buffer layer. Using a momentum-space lattice model and linear-response theory, we investigate a…

Mesoscale and Nanoscale Physics · Physics 2025-12-09 Juhi Singh , Narayan Mohanta

We predict that a non-centrosymmetric material NaSnBi locates in a three-dimensional non-trivial topological phase under ambient pressure based on first-principle calculations. By deriving the effective model around $\Gamma$ point, we find…

Strongly Correlated Electrons · Physics 2016-12-21 Xia Dai , Congcong Le , Xianxin Wu , Shengshan Qin , Zhiping Lin , Jiangping Hu

Non-Abelian and non-adiabatic variants of Berry's geometric phase have been pivotal in the recent advances in fault tolerant quantum computation gates, while Berry's phase itself is at the heart of the study of topological phases of matter.…

Quantum Gases · Physics 2019-10-30 H. M. Bharath , Matthew Boguslawski , Maryrose Barrios , Lin Xin , M. S. Chapman

The properties that quantify photonic topological insulators (PTIs), Berry phase, Berry connection, and Chern number, are typically obtained by making analogies between classical Maxwell's equations and the quantum mechanical…

Quantum Physics · Physics 2017-06-08 S. Ali Hassani Gangaraj , Mário G. Silveirinha , George W. Hanson

Three dimensional (3D) third-order topological insulators (TIs) have zero-dimensional (0D) corner states, which are three dimensions lower than bulk. Here we investigate the third-order TIs on breathing pyrochlore lattices with p-orbital…

Applied Physics · Physics 2025-03-03 Jiyu Wang , Ying Chen , Xiancong Lu

A three-dimensional strong-topological-insulator or -semimetal hosts topological surface states which are often said to be gapless so long as time-reversal symmetry is preserved. This narrative can be mistaken when surface state…

Strongly Correlated Electrons · Physics 2015-06-29 A. P. Weber , Q. D. Gibson , Huiwen Ji , A. N. Caruso , A. V. Fedorov , R. J. Cava , T. Valla

Nontrivial band topology along with magnetism leads to different novel quantum phases. When time-reversal-symmetry is broken in three-dimensional topological insulators (TIs) by applying high enough magnetic field or proximity effect,…

Mesoscale and Nanoscale Physics · Physics 2023-09-11 Nezhat Pournaghavi , Banasree Sadhukhan , Anna Delin

We consider the influence of topological phases, or their vicinity, on the spin density and spin polarization through a chiral chain. We show the quantization of the Berry phase in a one-dimensional polarization helix structure, under the…

Mesoscale and Nanoscale Physics · Physics 2022-08-24 P. D. Sacramento , M. F. Madeira