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Lifshitz transitions are topological transitions of a Fermi surface, whose signatures typically appear in the conduction properties of a host metal. Here, we demonstrate, using an extended Falicov- Kimball model of a two-flavor fermion…

Strongly Correlated Electrons · Physics 2024-01-09 Adam Eaton , Dibya Mukherjee , Herbert Fertig

The realization of artificial gauge fields in ultracold atomic gases has opened up a path towards experimental studies of topological insulators and, as an ultimate goal, topological quantum matter in many-body systems. As an alternative to…

Strongly Correlated Electrons · Physics 2020-10-29 Leo Stenzel , Andrew L. C. Hayward , Claudius Hubig , Ulrich Schollwöck , Fabian Heidrich-Meisner

We explore the possible particle-hole instabilities that can arise in a system of massless Dirac fermions on both the honeycomb and pi-flux square lattices with short range interactions. Through analytical and numerical studies we show that…

Strongly Correlated Electrons · Physics 2010-04-28 C. Weeks , M. Franz

We present first-principles calculations of electronic structures of a class of two-dimensional (2D) honeycomb structures of group-V binary compounds. Our results show these new 2D materials are stable semiconductors with direct or indirect…

Materials Science · Physics 2015-12-11 Yaozhuang Nie , Mavlanjan Rahman , Daowei Wang , Can Wang , Guanghua Guo

Many-body interactions in topological quantum systems can give rise to new phases of matter, which simultaneously exhibit both rich spatial features and topological properties. In this work, we consider spinless fermions on a checkerboard…

Quantum Gases · Physics 2020-12-10 Sergi Julià-Farré , Markus Müller , Maciej Lewenstein , Alexandre Dauphin

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

We find that in a multi-orbital system with intraorbital and interorbital hopping integrals, the Hall conductance exhibits various topological quantum phase transitions (QPTs) induced by on-site orbital polarization: integer quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2010-09-13 Yi-Fei Wang , Chang-De Gong

Inspired by recent experimental observations of hybrid topological states [Hossain et al. Nature 628, 527 (2024)], we predict hybrid-order topological insulators in 1H transition metal compounds (TMCs), where both second-order and…

Materials Science · Physics 2024-12-31 Ning-Jing Yang , Zhigao Huang , Jian-Min Zhang

We study the combined effects of lattice deformation, e-e interaction and spin-orbit coupling in a two-dimensional (2D) honeycomb lattice. We adopt different kinds of hopping modulation--generalized dimerization and a Kekule distortion--and…

Strongly Correlated Electrons · Physics 2015-03-09 F. Grandi , F. Manghi , O. Corradini , C. M. Bertoni

We report on the discovery of a quantum tri-critical point (QTP) separating a line of first-order topological quantum phase transitions from a continuous transition regime in a strongly correlated one-dimensional lattice system.…

Strongly Correlated Electrons · Physics 2019-03-06 S. Barbarino , G. Sangiovanni , J. C. Budich

Two-dimensional magnetic insulators can be promising hosts for topological magnons. In this study, we show that ABC-stacked honeycomb lattice multilayers with alternating Dzyaloshinskii-Moriya interaction (DMI) reveal a rich topological…

Mesoscale and Nanoscale Physics · Physics 2021-08-19 Stephen Hofer , Trinanjan Datta , Sumanta Tewari , Dipanjan Mazumdar

Heavy fermion materials naturally combine strong spin-orbit interactions and electronic correlations. When there is precisely one conduction electron per impurity spin, the coherent heavy fermion state is insulating. This Kondo insulating…

Strongly Correlated Electrons · Physics 2013-07-12 Jan Werner , Fakher F. Assaad

We study an interacting spinless quadratic band touching model that realizes a topological Mott insulating state. We quench the interaction from a value corresponding to the nematic insulator to that of the quantum anomalous Hall (QAH)…

Strongly Correlated Electrons · Physics 2025-05-22 Lara Ulčakar , Gal Lemut , Tomaž Rejec , Jernej Mravlje

We study strong correlation effects in topological insulators via the Lanczos algorithm, which we utilize to calculate the exact many-particle ground-state wave function and its topological properties. We analyze the simple, noninteracting…

Strongly Correlated Electrons · Physics 2010-09-29 Christopher N. Varney , Kai Sun , Marcos Rigol , Victor Galitski

The realization of robust quantum anomalous Hall (QAH) phases at elevated temperatures remains a central challenge in condensed matter physics. While quadratic band crossing points (QBCP) provide a promising route towards QAH states,…

Mesoscale and Nanoscale Physics · Physics 2026-04-09 Yadong Jiang , Linghao Huang , Zhaochen Liu , Huan Wang , Jing Wang

We introduce a quantum spin Hall semimetal or Fermi liquid characterized with a Z2 topological invariant, measurable through circularly polarized light. We propose its engineering through two topological metallic band structures in crystals…

Mesoscale and Nanoscale Physics · Physics 2025-08-19 Karyn Le Hur

We study spontaneous symmetry breaking in a system of spinless fermions in the Honeycomb lattice paying special emphasis to the role of an enlarged unit cell on time reversal symmetry broken phases. We use a tight binding model with nearest…

Strongly Correlated Electrons · Physics 2013-03-14 Adolfo G. Grushin , Eduardo V. Castro , Alberto Cortijo , Fernando de Juan , Maria A. H. Vozmediano , Belen Valenzuela

We consider two-dimensional Fermi systems with quadratic band touching and $C_3$ symmetry, as realizable in Bernal-stacked honeycomb bilayers. Within a renormalization-group analysis, we demonstrate the existence of a quantum critical point…

Strongly Correlated Electrons · Physics 2018-12-20 Shouryya Ray , Matthias Vojta , Lukas Janssen

We investigate the stability of a quadratic band-crossing point (QBCP) in 2D fermionic systems. At the non-interacting level, we show that a QBCP exists and is topologically stable for a Berry flux $\pm 2\pi$, if the point symmetry group…

Strongly Correlated Electrons · Physics 2009-07-24 Kai Sun , Hong Yao , Eduardo Fradkin , Steven A. Kivelson

Materials with non-trivial topology in their electronic structures enforce the existence of helical Dirac fermionic surface states. We discovered emergent topological phases in the stacked structures of topological insulator and band…

Materials Science · Physics 2012-06-15 Jeongwoo Kim , Jinwoong Kim , Ki-Seok Kim , Seung-Hoon Jhi