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Related papers: Electric polarization in a Chern insulator

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We introduce new classes of gapped topological phases characterized by quantized crystalline-electromagnetic responses, termed "multipolar Chern insulators". These systems are characterized by nonsymmorphic momentum-space symmetries and…

Mesoscale and Nanoscale Physics · Physics 2026-01-14 Sachin Vaidya , André Grossi Fonseca , Mark R. Hirsbrunner , Taylor L. Hughes , Marin Soljačić

We consider two-dimensional Chern insulators and time-reversal invariant topological insulators and discuss the effect of perturbations breaking either particle-number conservation or time-reversal symmetry. The appearance of trivial mass…

Strongly Correlated Electrons · Physics 2016-08-18 Stephan Rachel

Condensed matter physics is often concerned with determining the response of a solid to an external stimulus. This paper revisits and extends the microscopic formalism for calculating response coefficients -- here referred to as…

Other Condensed Matter · Physics 2025-12-23 J. W. F. Venderbos

Chern insulators arguably provide the simplest examples of topological phases. They are characterized by a topological invariant and can be identified by the presence of protected edge states. In this article, we show that a local impurity…

Mesoscale and Nanoscale Physics · Physics 2017-03-28 Vibhuti Bhushan Jha , Garima Rani , R. Ganesh

In 2D Chern insulators (2D CI), the topology of the bulk states is captured by a topological invariant, the Chern number. The scalar bulk-boundary correspondence (sBBC) relates the change in Chern number across an interface with the number…

We detect the topological properties of Chern insulators with strong Coulomb interactions by use of cluster perturbation theory and variational cluster approach. The common scheme in previous studies only involves the calculation of the…

Strongly Correlated Electrons · Physics 2019-07-30 Zhao-Long Gu , Kai Li , Jian-Xin Li

Photoinduced phase transitions and charge dynamics in the interacting Dirac-electron system with a charge-ordered ground state are theoretically studied by taking an organic salt $\alpha$-(BEDT-TTF)$_2$I$_3$. By analysing the extended…

Strongly Correlated Electrons · Physics 2022-07-21 Yasuhiro Tanaka , Masahito Mochizuki

A central property of Chern insulators is the robustness of the topological phase and edge states to impurities in the system. Despite this, Chern number cannot be straightforwardly calculated in the presence of disorder. Recently, work has…

Strongly Correlated Electrons · Physics 2022-10-20 Peru d'Ornellas , Ryan Barnett , Derek K. K. Lee

We present the first microscopic model for chirality-induced spin selectivity effect in electron-transfer, in which the internal degrees of freedom of the chiral bridge are explicitly included. By exactly solving this model on short chiral…

Mesoscale and Nanoscale Physics · Physics 2024-10-08 A. Chiesa , E. Garlatti , M. Mezzadri , L. Celada , R. Sessoli , M. R. Wasielewski , R. Bittl , P. Santini , S. Carretta

We analyze the non-Hermitian Haldane model where the spin-orbit interaction is made non-Hermitian. The Dirac mass becomes complex. We propose to realize it by an $LC$ circuit with operational amplifiers. A topological phase transition is…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 Motohiko Ezawa

Chern insulators are band insulators which exhibit a gap in the bulk and gapless excitations in the edge. Detection of Chern insulators is a serious challenge in cold atoms since the Hall transport measurements are technically unrealistic…

Mesoscale and Nanoscale Physics · Physics 2013-09-30 Xiong-Jun Liu , K. T. Law , T. K. Ng , Patrick A. Lee

The modern theory of electric polarization in crystals associates the dipole moment of an insulator with a Berry phase of its electronic ground state [1, 2]. This concept constituted a breakthrough that not only solved the long-standing…

Mesoscale and Nanoscale Physics · Physics 2018-04-18 Christopher W. Peterson , Wladimir A. Benalcazar , Taylor L. Hughes , Gaurav Bahl

Manipulating the topological properties of insulators, encoded in invariants such as the Chern number and its generalizations, is now a major issue for realizing novel charge/spin responses in electron systems. We propose that a simple…

Materials Science · Physics 2010-06-30 Jun-ichi Inoue , Akihiro Tanaka

We develop the theory and practical expressions for the full quantum-mechanical distribution of the intrinsic macroscopic polarization of an insulator in terms of the ground state wavefunction. The central quantity is a cumulant generating…

Condensed Matter · Physics 2009-10-31 Ivo Souza , Tim Wilkens , Richard M. Martin

A relationship is derived between differences in electric polarization between bands and the "shift vector" that controls part of a material's bulk photocurrent, then demonstrated in several models. Electric polarization has a quantized…

Mesoscale and Nanoscale Physics · Physics 2017-08-21 Benjamin M. Fregoso , Takahiro Morimoto , Joel E. Moore

We investigate the properties of an impurity particle interacting with a Fermi gas in a Chern-insulating state. The interaction leads to the formation of an exotic polaron, which consists of a coherent superposition of the…

Quantum Gases · Physics 2019-02-13 A. Camacho-Guardian , N. Goldman , P. Massignan , G. M. Bruun

Topological protection of edge state in quantum spin Hall systems relies only on time-reversal symmetry. Hence, S z conservation on the edge can be relaxed which can have an interferometric manifestation in terms of spin Berry phase.…

Mesoscale and Nanoscale Physics · Physics 2020-07-22 Vivekananda Adak , Krishanu Roychowdhury , Sourin Das

Recently, a chirality-driven contribution to the anomalous Hall effect has been found that is induced by the Berry phase and does not directly involve spin-orbit coupling. In this paper, we will investigate this effect numerically in a…

Mesoscale and Nanoscale Physics · Physics 2010-03-16 G. Metalidis , P. Bruno

We argue that the entanglement Chern number proposed recently is invariant under the adiabatic deformation of a gapped many-body groundstate into a {\it disentangled/purified} one, which implies a partition of the Chern number into…

Mesoscale and Nanoscale Physics · Physics 2015-03-11 T. Fukui , Y. Hatsugai

We consider the resonant Casimir-Polder interaction of an excited alkali-type atom which has a single (electric dipole) transition with a Chern insulator. The Chern insulator has a nonzero, time reversal symmetry breaking Hall conductance,…

Quantum Physics · Physics 2022-11-09 Bing-Sui Lu , Khatee Zathul Arifa , Martial Ducloy
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