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Topological insulators (TI) are bulk insulators that possess robust chiral conducting states along their interfaces with normal insulators. A tremendous research effort has recently been devoted to TI-based heterostructures, in which…

Mesoscale and Nanoscale Physics · Physics 2014-03-05 Gufeng Zhang , Xiaoguang Li , Guangfen Wu , Jie Wang , Dimitrie Culcer , Efthimios Kaxiras , Zhenyu Zhang

Topological phases of matter have sparked an immense amount of activity in recent decades. Topological materials are classified by topological invariants that act as a non-local order parameter for any symmetry and condition. As a result,…

Materials Science · Physics 2020-12-08 Oded Zilberberg

Topological states of fermionic matter can be induced by means of a suitably engineered dissipative dynamics. Dissipation then does not occur as a perturbation, but rather as the main resource for many-body dynamics, providing a targeted…

Quantum Physics · Physics 2015-06-15 C. -E. Bardyn , M. A. Baranov , C. V. Kraus , E. Rico , A. Imamoglu , P. Zoller , S. Diehl

Quantum paramagnets are strongly-correlated phases of matter where competing interactions frustrate magnetic order down to zero temperature. In certain cases, quantum fluctuations induce instead topological order, supporting, in particular,…

Quantum Gases · Physics 2022-01-19 Daniel González-Cuadra

Ordered phases of matter, such as solids, ferromagnets, superfluids, or quantum topological order, typically only exist at low temperatures. Despite this conventional wisdom, we present explicit local models in which all such phases persist…

Statistical Mechanics · Physics 2025-04-01 Yiqiu Han , Xiaoyang Huang , Zohar Komargodski , Andrew Lucas , Fedor K. Popov

Amorphous topological states, which are independent of the specific spatial distribution of microscopic constructions, have gained much attention. Recently, higher-order topological insulators, which are a new class of topological phases of…

Mesoscale and Nanoscale Physics · Physics 2022-10-04 Tan Peng , Chun-Bo Hua , Rui Chen , Zheng-Rong Liu , Hai-Ming Huang , Bin Zhou

Strong interactions can give rise to new fermionic symmetry protected topological phases which have no analogs in free fermion systems. As an example, we have systematically studied a spinless fermion model with $U(1)$ charge conservation…

Strongly Correlated Electrons · Physics 2015-06-17 Shang-Qiang Ning , Hong-Chen Jiang , Zheng-Xin Liu

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

We consider a non-Hermitian (NH) analog of a second-order topological insulator, protected by chiral symmetry, in the presence of next-nearest neighbor hopping elements to theoretically investigate the interplay beyond the first nearest…

Mesoscale and Nanoscale Physics · Physics 2024-09-16 Arnob Kumar Ghosh , Arijit Saha , Tanay Nag

We study the band structure of phases induced by depositing bilayer graphene on a transition metal dichalcogenide monolayer. Tight-binding and low-energy effective Hamiltonian calculations show that it is possible to induce topologically…

Mesoscale and Nanoscale Physics · Physics 2018-06-20 Abdulrhman M. Alsharari , Mahmoud M. Asmar , Sergio E. Ulloa

Topological phases with insulating bulk and gapless surface or edge modes have attracted much attention because of their fundamental physics implications and potential applications in dissipationless electronics and spintronics. In this…

Materials Science · Physics 2016-05-18 Yafei Ren , Zhenhua Qiao , Qian Niu

The inverse proximity effect, i.e. the induction of a magnetic moment in the superconductor in superconductor-ferromagnet (S/F) junctions is studied theoretically. We present a microscopic approach which combines a model Hamiltonian with…

Superconductivity · Physics 2009-11-11 F. S. Bergeret , A. Levy Yeyati , A. Martin-Rodero

Combining strong electron correlations [1-4] and nontrivial electronic topology [5] holds great promise for discovery. So far, this regime has been rarely accessed and systematic studies are much needed to advance the field. Here we…

Topological invariants are global properties of the ground-state wave function, typically defined as winding numbers in reciprocal space. Over the years, a number of topological markers in real space have been introduced, allowing to map…

Mesoscale and Nanoscale Physics · Physics 2024-01-17 Nicolas Baù , Antimo Marrazzo

Topological phases of quantum matter defy characterization by conventional order parameters but can exhibit quantized electro-magnetic response and/or protected surface states. We examine such phenomena in a model for three-dimensional…

Strongly Correlated Electrons · Physics 2012-10-03 Ara Go , William Witczak-Krempa , Gun Sang Jeon , Kwon Park , Yong Baek Kim

We demonstrate that ultracold polyatomic symmetric top molecules, such as methyl fluoride, loaded into an optical lattice and subject to DC electric and microwave field dressing, can display topological order via a self-consistent analog of…

Quantum Gases · Physics 2016-11-01 M. L. Wall , K. Maeda , L. D. Carr

Chiral topological orders formed in correlated fermion systems have been widely explored. However, the mechanism on how they emerge from interacting fermions is still unclear. Here, we propose a susceptibility condition. Under this…

Strongly Correlated Electrons · Physics 2024-06-26 Rui Wang , Tao Yang , Z. Y. Xie , Baigeng Wang , X. C. Xie

The notion of topological (Thouless) pumping in topological phases is traditionally associated with Laughlin's pump argument for the quantization of the Hall conductance in two-dimensional (2D) quantum Hall systems. It relies on magnetic…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Charles-Edouard Bardyn , Michele Filippone , Thierry Giamarchi

We theoretically investigate the effects of backscattering and superconducting proximity terms between the edges of two multi-layer fractional quantum Hall (FQH) systems. While the different layers are strongly interacting, we assume that…

Mesoscale and Nanoscale Physics · Physics 2017-02-08 Hiromi Ebisu , Eran Sagi , Yukio Tanaka , Yuval Oreg

There can exist topological obstructions to continuously deforming a gapped Hamiltonian for free fermions into a trivial form without closing the gap. These topological obstructions are closely related to obstructions to the existence of…

Quantum Physics · Physics 2009-11-13 M. B. Hastings
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