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We study the flat-band ferromagnetic phase of a topological Hubbard model within a bosonization formalism and, in particular, determine the spin-wave excitation spectrum. We consider a square lattice Hubbard model at 1/4-filling whose…

Strongly Correlated Electrons · Physics 2015-12-23 R. L. Doretto , M. O. Goerbig

2D topological insulators promise novel approaches towards electronic, spintronic, and quantum device applications. This is owing to unique features of their electronic band structure, in which bulk-boundary correspondences enforces the…

We present a comprehensive theoretical study of the topological surface states (TSS) of Bi$_2$Se$_3$, a 3D topological insulator, epitaxially grown on twisted bilayer graphene (tBG). The moir\'e potential induced by tBG folds the TSS Dirac…

Mesoscale and Nanoscale Physics · Physics 2025-05-06 Yoonkang Kim

Since the theoretical prediction and experimental observation of the thermal Hall effect of magnons, a variety of novel phenomena that may occur in magnonic systems have been proposed. In this paper, we review the recent advances in the…

Mesoscale and Nanoscale Physics · Physics 2022-02-15 Hiroki Kondo , Yutaka Akagi , Hosho Katsura

Symmetry protected topological (SPT) phases in free fermion and interacting bosonic systems have been classified, but the physical phenomena of interacting fermionic SPT phases have not been fully explored. Here, employing large-scale…

Strongly Correlated Electrons · Physics 2016-10-21 Han-Qing Wu , Yuan-Yao He , Yi-Zhuang You , Tsuneya Yoshida , Norio Kawakami , Cenke Xu , Zi Yang Meng , Zhong-Yi Lu

Monolayer V2O3, a two-dimensional magnetic topological insulator with intrinsic ferromagnetic order and a nontrivial band gap, offers a promising platform for realizing quantum anomalous Hall (QAH) states. Using first-principles density…

Materials Science · Physics 2025-09-30 Zheng Wang , Jingshen Yan , Shu-Shen Lyu , Kaixuan Chen

Here we investigate the internal sublattice symmetry, and thus the enriched topological classification of bosonic Bogoliubov excitations of thermodynamically stable free-boson systems with non-vanishing particle-number-nonconserving terms.…

Quantum Physics · Physics 2024-10-28 Ling-Xia Guo , Liang-Liang Wan , Liu-Gang Si , Xin-You Lü , Ying Wu

Quantum simulation, as a state-of-art technique, provides the powerful way to explore topological quantum phases beyond natural limits. Nevertheless, a previously-not-realized three-dimensional (3D) chiral topological insulator, and…

Topological phases stabilized by crystalline point group symmetry protection are a large class of symmetry-protected topological phases subjected to considerable experimental scrutiny. Here, we show that the canonical three-dimensional (3D)…

Strongly Correlated Electrons · Physics 2025-04-01 Michał J. Pacholski , Ashley M. Cook

We propose second-order topological insulators (SOTIs) whose lattice structure has the hexagonal symmetry $C_{6}$ in three and two dimensions. We start with a three-dimensional weak topological insulator constructed on the stacked…

Mesoscale and Nanoscale Physics · Physics 2018-07-24 Motohiko Ezawa

The search for topological insulators has been actively promoted in the field of condensed matter physics for further development in energy-efficient information transmission and processing. In this context, recent studies have revealed…

Motivated by recent studies which show that topological phases may emerge in strongly correlated electron systems, we theoretically study the strong electron correlation effect in a three-dimensional topological insulator, which effective…

Strongly Correlated Electrons · Physics 2013-05-06 Akihiko Sekine , Takashi Z. Nakano , Yasufumi Araki , Kentaro Nomura

We study a simple model of interacting bosons on a d-dimensional cubic lattice whose dynamics conserves both total boson number and total boson dipole moment. This model provides a simple framework in which several remarkable consequences…

Quantum Gases · Physics 2022-09-14 Ethan Lake , Michael Hermele , T. Senthil

Topologically protected gapless edge states are phases of quantum matter which behave as massless Dirac fermions, immunizing against disorders and continuous perturbations. Recently, a new class of topological insulators (TIs) with…

Mesoscale and Nanoscale Physics · Physics 2019-08-12 Haiyan Fan , Baizhan Xia , Shengjie Zheng , Liang Tong

We study an effective model of two interacting species of bosons in two dimensions, which is amenable to sign problem free Monte Carlo simulations. In addition to conventional ground states, we access a paired superfluid which is also a…

Strongly Correlated Electrons · Physics 2016-04-06 Snir Gazit , Ashvin Vishwanath

The electronic structure at the interface between a topological band insulator and a Mott insulator is studied within layer dynamical mean field theory. To represent the bulk phases of these systems, we use the generalized…

Strongly Correlated Electrons · Physics 2015-06-22 H. Ishida , A. Liebsch

Topological insulators are new states of quantum matter which can not be adiabatically connected to conventional insulators and semiconductors. They are characterized by a full insulating gap in the bulk and gapless edge or surface states…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Xiao-Liang Qi , Shou-Cheng Zhang

In this work, we study a one-dimensional model of interacting bosons coupled to a dynamical $\mathbb{Z}_2$ field, the $\mathbb{Z}_2$ Bose-Hubbard model, and analyze the interplay between spontaneous symmetry breaking and topological…

Three dimensional topological insulator crystals consist of an insulating bulk enclosed by metallic surfaces, and detailed theoretical predictions about the surface state band topology and spin texture are available. While several…

Recent developments of experimental techniques have given us unprecedented opportunities of studying topological insulators in high dimensions, while some of the dimensions are "synthetic", in the sense that the effective lattice momenta…

Strongly Correlated Electrons · Physics 2018-11-28 Chao-Ming Jian , Cenke Xu