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We study the quantum phases of spinless fermion at one-third filling on a Kagome lattice featuring a quadratic band touching Fermi point. In the presence of weak first and second nearest-neighbor repulsive interactions ($V_1$ and $V_2$), we…

Strongly Correlated Electrons · Physics 2018-12-05 Yafei Ren , T. -S. Zeng , W. Zhu , D. N. Sheng

Interaction driven topological phases can significantly enrich the class of topological materials and thus are of great importance. Here, we study the phase diagram of interacting spinless fermions filling the two-dimensional checkerboard…

Strongly Correlated Electrons · Physics 2018-11-27 Tian-sheng Zeng , W. Zhu , D. N. Sheng

An analysis of the stability of topological states induced by Coulomb repulsion on decorated honeycomb lattices is presented. Based on a mean-field treatment of a spinless extended Hubbard model on the decorated honeycomb lattice we show…

Strongly Correlated Electrons · Physics 2020-05-22 Manuel Fernandez Lopez , Jaime Merino

We study the quantum anomalous Hall states in the $p$-orbital bands of the honeycomb optical lattices loaded with the single component fermions. Such an effect has not been realized in both condensed matter and cold atom systems yet. By…

Quantum Gases · Physics 2011-03-02 Machi Zhang , Hsiang-hsuan Hung , Chuanwei Zhang , Congjun Wu

We use exact diagonalization and cluster perturbation theory to address the role of strong interactions and quantum fluctuations for spinless fermions on the honeycomb lattice. We find quantum fluctuations to be very pronounced both at weak…

Strongly Correlated Electrons · Physics 2014-01-07 Maria Daghofer , Martin Hohenadler

We proposed a theory of quantum anomalous Hall effect in a flat-band ferromagnet on a two-dimensional (2D) decorated lattice with spin-orbit coupling. Free electrons on the lattice have dispersionless flat bands, and the ground state is…

Mesoscale and Nanoscale Physics · Physics 2012-02-28 An Zhao , Shun-Qing Shen

The prediction and realization of the quantum anomalous Hall effect are often intimately connected to honeycomb lattices in which the sublattice degree of freedom plays a central role in the nontrivial topology. Two-dimensional Wigner…

Strongly Correlated Electrons · Physics 2024-07-04 Yongxin Zeng , Daniele Guerci , Valentin Crépel , Andrew J. Millis , Jennifer Cano

We address the role of short range interactions for spinless fermions in the hyperhoneycomb lattice, a three dimensional (3D) structure where all sites have a planar trigonal connectivity. For weak interactions, the system is a line-node…

Strongly Correlated Electrons · Physics 2018-05-09 Sang Wook Kim , Kangjun Seo , Bruno Uchoa

We theoretically investigate the effect of an attractive on-site interaction on the two-band magnetic Dirac fermion model based on a square lattice system. When the attractive fermion interaction is taken into account by the mean-field…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Fenghua Qi , Jun Cao , Jie Cao , Xiao Li , Lifa Zhang

It is shown that topological insulating phases driven by interactions can be realized without the need for spin-orbit coupling or large intersite interaction in a two-dimensional system of spin-1/2 fermions with a single pair of…

Strongly Correlated Electrons · Physics 2014-05-21 James M. Murray , Oskar Vafek

We consider a system of spinless fermions on the honeycomb lattice with substrate-induced modulated electrostatic potentials tripling the unit cell. The resulting non-Abelian SU(2) gauge fields act cooperatively to realize a quadratic band…

Mesoscale and Nanoscale Physics · Physics 2016-01-29 Jörn W. F. Venderbos , Marco Manzardo , Dmitry V. Efremov , Jeroen van den Brink , Carmine Ortix

We examine the existence of the interaction-generated quantum anomalous Hall phase on the honeycomb lattice. For the spinless model at half filling, the existence of a quantum anomalous Hall phase (Chern insulator phase) has been predicted…

Strongly Correlated Electrons · Physics 2014-04-25 Tanja Duric , Nicholas Chancellor , Igor F. Herbut

Quantum anomalous Hall effect, with a trademark of dissipationless chiral edge states for electronics/spintronics transport applications, can be realized in materials with large spin-orbit coupling and strong intrinsic magnetization. After…

Mesoscale and Nanoscale Physics · Physics 2021-01-05 Muhammad Nadeem , Alex R. Hamilton , Michael S. Fuhrer , Xiaolin Wang

Quantum anomalous Hall effect has been widely explored in both ferromagnetic and antiferromagnetic systems. Here, we propose an interaction-driven paramagnetic quantum anomalous Hall effect emerging in the Fermion-Hubbard model on a dice…

Strongly Correlated Electrons · Physics 2025-07-15 Yedi Shen , Sanyi You , Zhenhua Qiao , Qian Niu

Physical phenomena driven by topological properties, such as the quantum Hall effect, have the appealing feature to be robust with respect to external perturbations. Lately, a new class of materials has emerged manifesting their topological…

Mesoscale and Nanoscale Physics · Physics 2011-02-17 D. Bercioux , N. Goldman , D. F. Urban

The quantum anomalous Hall effect is a fundamental transport response of a topologically non-trivial system in zero magnetic field. Its physical origin relies on the intrinsically inverted electronic band structure and ferromagnetism, and…

Non-interacting topological states of matter can be realized in band insulators with intrinsic spin-orbital couplings as a result of the nontrivial band topology. In recent years, the possibility of realizing novel interaction-driven…

Strongly Correlated Electrons · Physics 2016-08-31 W. Zhu , S. S. Gong , T. S. Zeng , L. Fu , D. N. Sheng

Two dimensional lattices are an important stage for studying many aspects of quantum physics, in particular the topological phases. The valley Hall and anomalous Hall effects are two representative topological phenomena. Here we show that…

Mesoscale and Nanoscale Physics · Physics 2021-07-13 Jiale Yuan , Han Cai , Congjun Wu , Shi-Yao Zhu , Ren-Bao Liu , Da-Wei Wang

We study the quantum phases driven by interaction in a semimetal with a quadratic band touching at the Fermi level. By combining the density matrix renormalization group (DMRG), analytical power expanded Gibbs potential method, and the weak…

Strongly Correlated Electrons · Physics 2018-10-03 Shouvik Sur , Shou-Shu Gong , Kun Yang , Oskar Vafek

The topological states of matter and topological materials have been attracting extensive interests as one of the frontier topics in condensed matter physics and materials science since the discovery of quantum Hall effect in 1980s. So far…

Mesoscale and Nanoscale Physics · Physics 2022-03-03 Bo Fu , Jin-Yu Zou , Zi-Ang Hu , Huan-Wen Wang , Shun-Qing Shen
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