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We show here that numerous examples abound where changing topology does not necessarily close the bulk insulating charge gap as demanded in the standard non-interacting picture. From extensive determinantal and dynamical cluster quantum…

Strongly Correlated Electrons · Physics 2024-01-12 Peizhi Mai , Jinchao Zhao , Thomas A. Maier , Barry Bradlyn , Philip W. Phillips

The dimerized Kane-Mele model with/without the strong interaction is studied using analytical methods. The boundary of the topological phase transition of the model without strong interaction is obtained. Our results show that the…

Strongly Correlated Electrons · Physics 2021-03-17 Tao Du , Yue-Xun Li , Yan Li , He-Lin Lu , Hui Zhang

Combining graphene with other novel layered materials is a possible way for engineering the band structure of charge carriers. Strong spin-orbit coupling in BiTeX compounds and the recent fabrication of a single layer of BiTeI points…

Materials Science · Physics 2019-10-17 Zoltán Tajkov , Dávid Visontai , László Oroszlány , János Koltai

The recently discovered three dimensional or bulk topological insulators are expected to exhibit exotic quantum phenomena. It is believed that a trivial insulator can be twisted into a topological state by modulating the spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2011-10-24 Su-Yang Xu , Y. Xia , L. A. Wray , D. Qian , Shuang Jia , J. H. Dil , F. Meier , J. Osterwalder , B. Slomski , H. Lin , R. J. Cava , M. Z. Hasan

Haldane model is a noninteracting model for spinless fermions showing nontrivial topological properties. Effect of the electron-electron interaction on the topological phase poses an intriguing question. By means of the Hartree-Fock mean…

Strongly Correlated Electrons · Physics 2010-12-24 Lei Wang , Hao Shi , Shiwei Zhang , Xiaoqun Wang , Xi Dai , X. C. Xie

The temperature renormalization of the bulk band structure of a topological crystalline insulator, SnTe, is calculated using first principles methods. We explicitly include the effect of thermal-expansion-induced modification of electronic…

The description of interactions in strongly-correlated topological phases of matter remains a challenge. Here, we develop a stochastic functional approach for interacting topological insulators including both charge and spin channels. We…

Strongly Correlated Electrons · Physics 2021-08-18 Joel Hutchinson , Philipp W. Klein , Karyn Le Hur

In this work, we construct a generalized Kane model with a new coupling term between itinerant electron spins and local magnetic moments of anti-ferromagnetic ordering in order to describe the low energy effective physics in a large family…

Materials Science · Physics 2017-07-05 Jiabin Yu , Binghai Yan , Chao-Xing Liu

Noncollinear and noncoplanar magnetic orders lead to unusual electronic structures and transport properties. We here investigate two types of multiple-Q magnetically ordered states and a topological phase transition between them in two…

Strongly Correlated Electrons · Physics 2015-02-10 Satoru Hayami , Yukitoshi Motome

The effect of spatially modulated interaction on quantum phase transition in one-dimensional interacting spinless fermion system is theoretically investigated by exact diagonalization and density matrix renormalization group method. Our…

Strongly Correlated Electrons · Physics 2020-08-27 Zheng-Wei Zuo , Da-wei Kang , Liben Li

In this paper, starting from a lattice model of topological insulators, we study the quantum phase transitions among different quantum states, including quantum spin Hall state, quantum anomalous Hall state and normal band insulator state…

Strongly Correlated Electrons · Physics 2010-01-22 Lan-Feng Liu , Su-Peng Kou

Topological states of matter are characterized by global topological invariants which change their value across a topological quantum phase transition. It is commonly assumed that the transition between topologically distinct noninteracting…

Mesoscale and Nanoscale Physics · Physics 2017-04-19 Vladimir Juricic , D. S. L. Abergel , A. V. Balatsky

I construct a simple model to demonstrate that when the many-electron quantum state of a material is near a quantum phase transition and the vibrational motion of a phonon explores the potential energy surface near the transition point,…

Other Condensed Matter · Physics 2022-02-03 Nikitas I. Gidopoulos

Quasi-one-dimensional bismuth halides offer an exceptional platform for exploring diverse topological phases, yet the nature of the room-temperature topological phase transition in Bi$_4$I$_4$ remains unresolved. While theory predicts the…

Materials Science · Physics 2025-08-26 Wenjie Hu , Jiayi Gong , Yuhui Qiu , Lexian Yang , Jin-Jian Zhou , Yugui Yao

A major challenge in condensed matter physics is integrating topological phenomena with correlated electron physics to leverage both types of states for next-generation quantum devices. Metal-insulator transitions (MITs) are central to…

We investigate metal-insulator transitions in the Holstein-Hubbard model as a function of the on-site electron-electron interaction U and the electron-phonon coupling g. We use several different numerical methods to calculate the phase…

Strongly Correlated Electrons · Physics 2007-05-23 W. Koller , D. Meyer , Y. Ono , A. C. Hewson

We investigate charge transport within some background medium by means of an effective lattice model with a novel form of fermion-boson coupling. The bosons describe fluctuations of a correlated background. By analyzing groundstate and…

Strongly Correlated Electrons · Physics 2009-11-13 G. Wellein , H. Fehske , A. Alvermann , D. M. Edwards

We investigate the effect of a high frequency electromagnetic field with both of circularly and linearly polarization, on the emergence of quantum phases on thin topological insulators. Simultaneously, the influence of the system parameters…

Mesoscale and Nanoscale Physics · Physics 2021-12-21 S. Sajad Dabiri , Hosein Cheraghchi

It is shown on the basis of the multiplicative renormalization-group method of two-loop order that the low-energy effective Hamiltonian of a strongly coupled local electron-phonon system is mapped to the two-channel Kondo model. A phonon is…

Condensed Matter · Physics 2009-10-28 Hiroaki Kusunose , Kazumasa Miyake

We study the electron-electron interaction effects on topological phase transitions by the ab-initio quantum Monte Carlo simulation. We analyze two-dimensional class A topological insulators and three-dimensional Weyl semimetals with the…

Mesoscale and Nanoscale Physics · Physics 2016-12-08 Arata Yamamoto , Taro Kimura