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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

The interaction-driven quantum anomalous Hall (QAH) insulator has been sought for a long time in a Dirac semimetal with linear band touching points at the Fermi level. By combining exact diagonalization, density matrix renormalization…

Strongly Correlated Electrons · Physics 2022-11-04 Hongyu Lu , Shouvik Sur , Shou-Shu Gong , D. N. Sheng

We show that topological states are often developed in two dimensional semimetals with quadratic band crossing points (BCPs) by electron-electron interactions. To illustrate this, we construct a concrete model with the BCP on an extended…

Strongly Correlated Electrons · Physics 2015-05-18 Wei-Feng Tsai , Chen Fang , Hong Yao , JiangPing Hu

Van der Waals layered ferromagnetic compounds with high two-dimensional electronic conductivity holds strong potential for quantum computing, future unconventional superconductors, catalysts, batteries, and fuel cells. We suggest a minimal…

Strongly Correlated Electrons · Physics 2026-03-31 Freja Schou Guttesen , Per Hedegård

We study the effects of marginally spinful electron-electron interactions on the low-energy instabilities and favorable phase transitions in a two-dimensional (2D) spin-$1/2$ semimetal that owns a quadratic band crossing point (QBCP)…

Strongly Correlated Electrons · Physics 2024-10-01 Yi-Sheng Fu , Jing Wang

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

Quadratic band crossing points (QBCPs) and quantum anomalous Hall effect (QAHE) have attracted the attention of both theoretical and experimental researchers in recent years. Based on first-principle calculations, we find that the FeB$_2$…

Mesoscale and Nanoscale Physics · Physics 2022-06-10 Dongyu Wu , Yunpeng Huang , Song Sun , Jiacheng Gao , Zhaopeng Guo , Hongming Weng , Zhong Fang , Kun Jiang , Zhijun Wang

Most electronic properties of metals are determined solely by the low-energy states around the Fermi level, and for topological metals/semimetals, these low-energy states become distinct because of their unusual energy dispersion and…

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

When the charge density is sufficiently low, interacting two-dimensional electron gas (2DEG) would undergo a phase transition from homogeneous Fermi liquid to an electronic crystal state, known as Wigner crystal. Besides conventional 2DEG,…

Strongly Correlated Electrons · Physics 2025-01-14 Zhongqing Guo , Jianpeng Liu

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

A quantum phase transition arises from competition between different ground states and is typically accessed by varying a single physical parameter near absolute zero temperature. The quantum anomalous Hall (QAH) effect with high Chern…

Mesoscale and Nanoscale Physics · Physics 2025-08-27 Ling-Jie Zhou , Deyi Zhuo , Ruobing Mei , Yi-Fan Zhao , Kaijie Yang , Ruoxi Zhang , Zijie Yan , Han Tay , Moses H. W. Chan , Chao-Xing Liu , Cui-Zu Chang

The recent discovery of robust quantum anomalous Hall (QAH) effect in rhombohedral multilayer graphene (RMG) aligned with hexagonal boron nitride (hBN) has established a highly versatile platform for correlated topological matter. This…

Strongly Correlated Electrons · Physics 2026-02-16 Jiannan Hua , Jing Ding , W. Zhu , Shui-gang Xu

Discovering materials that combine topological phenomena with correlated electron behavior is a central pursuit in quantum materials research. Monolayer TaIrTe$_4$ has recently emerged as a promising platform in this context, hosting robust…

While the ground state phase diagram of the correlated flat-band systems have been intensively investigated, the dynamic and thermodynamic properties of such lattice models are less explored, but it is the latter which is most relevant to…

Strongly Correlated Electrons · Physics 2023-01-05 Gaopei Pan , Hongyu Lu , Heqiu Li , Xu Zhang , Bin-Bin Chen , Kai Sun , Zi Yang Meng

We theoretically study the stability of three dimensional Dirac semimetals against short-range electron-electron interaction and quenched time-reversal symmetric disorder (but excluding mass disorder). First we focus on the clean…

Mesoscale and Nanoscale Physics · Physics 2016-09-23 Bitan Roy , Sankar Das Sarma

We analyze the effect of disorder on the weak-coupling instabilities of quadratic band crossing point (QBCP) in two-dimensional Fermi systems, which, in the clean limit, display interaction- driven topological insulating phases. In the…

Strongly Correlated Electrons · Physics 2017-11-22 Jing Wang , Carmine Ortix , Jeroen van den Brink , Dmitry V. Efremov

A (single flavor) quadratic band crossing in two dimensions is known to have a generic instability towards a quantum anomalous Hall (QAH) ground state for infinitesimal repulsive interactions. Here we introduce a generalization of a…

Strongly Correlated Electrons · Physics 2014-07-29 Balázs Dóra , Igor F. Herbut , Roderich Moessner

Bi-layer Kagome compounds provide an exciting playground where the interplay of topology and strong correlations can give rise to exotic phases of matter. Motivated by recent first principles calculation on such systems (Phys. Rev. Lett…

Strongly Correlated Electrons · Physics 2023-11-29 Aabhaas Vineet Mallik , Adhip Agarwala , Tanusri Saha-Dasgupta

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
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