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The study of topological band structures have sparked prominent research interest the past decade, culminating in the recent formulation of rather prolific classification schemes that encapsulate a large fraction of phases and features.…

Mesoscale and Nanoscale Physics · Physics 2021-05-21 Gunnar. F. Lange , Adrien Bouhon , Robert-Jan Slager

Higher-order topological phases of matter have been extensively studied in various areas of physics. While the Aubry-Andr\'e-Harper model provides a paradigmatic example to study topological phases, it has not been explored whether a…

Mesoscale and Nanoscale Physics · Physics 2020-07-17 Qi-Bo Zeng , Yan-Bin Yang , Yong Xu

We derive a scheme for systematically enumerating the responses of gapped as well as gapless systems of free fermions to electromagnetic and strain fields starting from a common parent theory. Using the fact that position operators in the…

Mesoscale and Nanoscale Physics · Physics 2015-05-29 Daniel Bulmash , Pavan Hosur , Shou-Cheng Zhang , Xiao-Liang Qi

We propose and analyse an efficient scheme for simulating higher-order topological phases of matter in two dimensional (2D) spin-phononic crystal networks. We show that, through a specially designed periodic driving, one can selectively…

Quantum Physics · Physics 2021-01-20 Xiao-Xiao Li , Peng-Bo Li

We study quantum phase transitions between competing orders in one-dimensional spin systems. We focus on systems that can be mapped to a dual-field double sine-Gordon model as a bosonized effective field theory. This model contains two…

Strongly Correlated Electrons · Physics 2018-11-29 Shintaro Takayoshi , Shunsuke C. Furuya , Thierry Giamarchi

We study the excitation spectrum and dynamical response functions for several quasi-one-dimensional spin systems in magnetic fields without dipolar spin order transverse to the field. This includes both nematic phases, which harbor "hidden"…

Strongly Correlated Electrons · Physics 2014-04-04 Oleg A. Starykh , Leon Balents

We study the higher-order topological spin phases based on a spin analogue of Benalcazar-Bernevig-Hughes model in two dimensions using large-scale quantum Monte Carlo simulations. A continuous N\'eel-valence bond solid quantum phase…

Strongly Correlated Electrons · Physics 2021-11-11 Jiaojiao Guo , Junsong Sun , Xingchuan Zhu , Chang-An Li , Huaiming Guo , Shiping Feng

We introduce a two-dimensional Chern insulator in proximity to a $d$-wave pseudogap state of the high-T$_c$ superconducting material as an effective platform to realize the higher order topological system. The proximity-induced…

Superconductivity · Physics 2022-11-21 Xiaoming Wang , Yu-Xuan Li , Tao Zhou

The topological properties of the one-dimensional interacting systems with spatially modulated interaction in two-particle regime are theoretically investigated. Taking the boson-Hubbard model and spinless fermion interacting model as…

Strongly Correlated Electrons · Physics 2025-02-11 Zheng-Wei Zuo , Wanwan Shi , Haisheng Li

We show that topological phases with fractional excitations can occur in two-dimensional ultracold dipolar gases on a particular class of optical lattices. Due to the dipolar interaction and lattice confinement, a quantum dimer model…

Quantum Gases · Physics 2010-04-26 Kai Sun , Erhai Zhao , W. Vincent Liu

Electric circuits are known to realize topological quadrupole insulators. We explore electric circuits made of capacitors and inductors forming the breathing Kagome and pyrochlore lattices. They are known to possess three phases (trivial…

Mesoscale and Nanoscale Physics · Physics 2019-01-17 Motohiko Ezawa

We propose an extended Hubbard model on a 2D Kagome lattice with an additional ring-exchange term. The particles can be either bosons or spinless fermions . At a special filling fraction of 1/6 the model is analyzed in the lowest…

Strongly Correlated Electrons · Physics 2007-05-23 Michael Freedman , Chetan Nayak , Kirill Shtengel

Higher-order topological insulators are newly proposed topological phases of matter, whose bulk topology manifests as localized modes at two- or higher-dimensional lower boundaries. In this work, we propose the twisted bilayer graphenes…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Moon Jip Park , Youngkuk Kim , Gil Young Cho , SungBin Lee

We propose to implement tunable higher-order topological states in a heterojunction consisting of a two-dimensional (2D) topological insulator and the recently discovered altermagnets, whose unique spin-polarization in both real and…

Mesoscale and Nanoscale Physics · Physics 2024-05-13 Yu-Xuan Li , Yichen Liu , Cheng-Cheng Liu

It has recently been realized that zero modes with projective non-Abelian statistics, generalizing the notion of Majorana bound states, may exist at the interface between a superconductor and a ferromagnet along the edge of a fractional…

Strongly Correlated Electrons · Physics 2013-05-30 Michele Burrello , Bernard van Heck , Emilio Cobanera

The bulk-edge correspondence characterizes topological insulators and superconductors. We generalize this concept to the bulk-corner correspondence and the edge-corner correspondence in two dimensions. In the bulk-corner (edge-corner)…

Mesoscale and Nanoscale Physics · Physics 2020-09-23 Motohiko Ezawa

We investigate the ground-state phase diagram of a modified spinless Haldane-Hubbard model with broken threefold rotational symmetry, employing exact diagonalization calculations. The interplay of asymmetry, interactions, and topology gives…

Strongly Correlated Electrons · Physics 2023-05-03 Tian-Cheng Yi , Hai-Qing Lin , Rubem Mondaini

We propose that a spin-dependent second-order topological insulator can be realized in monolayer FeSe/GdClO heterostructure, in which substrate GdClO helps to stabilize and enhance the antiferromagnetic order in FeSe. The second-order…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 Qing Wang , Rui Song , Ning Hao

Topological quantum paramagnets are exotic states of matter, whose magnetic excitations have a topological band structure, while the ground state is topologically trivial. Here we show that a simple model of quantum spins on a honeycomb…

Strongly Correlated Electrons · Physics 2019-07-31 Darshan G. Joshi , Andreas P. Schnyder

Twisted transition metal dichalcogenides (tTMDs) provide a highly tunable platform to explore the interplay between strong correlation and topology. Among them, the properties involving the charge degree of freedom have been extensively…

Strongly Correlated Electrons · Physics 2025-08-25 Wei-Tao Zhou , Zhao-Yang Dong , Zhao-Long Gu , Jian-Xin Li
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