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Charge carriers in Dirac/Weyl semi-metals exhibit a relativistic-like behavior. In this work we propose a novel type of intrinsic half-integer Quantum Hall effect in 2D materials, thereby also offering a topological protection mechanism for…

Mesoscale and Nanoscale Physics · Physics 2022-04-05 D. Dudal , F. Matusalem , A. J. Mizher , A. R. Rocha , C. Villavicencio

We propose a Haldane-BCS-Hubbard model on a honeycomb lattice, which is composed of two copies of the Haldane model of the quantum anomalous Hall effect, an equal-spin pairing term and an onsite Hubbard interaction term. For any interaction…

Strongly Correlated Electrons · Physics 2019-06-28 Jian-Jian Miao , Dong-Hui Xu , Long Zhang , Fu-Chun Zhang

In a kagome lattice, the time reversal symmetry can be broken by a staggered magnetic flux emerging from ferromagnetic ordering and intrinsic spin-orbit coupling, leading to several wellseparated nontrivial Chern bands and intrinsic quantum…

Mesoscale and Nanoscale Physics · Physics 2015-11-04 Gang Xu , Biao Lian , Shou-Cheng Zhang

We identify an intrinsic mechanism of the anomalous Hall effect for non-symmorphic chiral superconductors. This mechanism relies on both a nontrivial multi-band chiral superconducting order parameter, which is a mixture of pairings of even…

Superconductivity · Physics 2017-11-22 Zhiqiang Wang , John Berlinsky , Gertrud Zwicknagl , Catherine Kallin

We construct a minimal four-band model for the two-dimensional (2D) topological insulators and quantum anomalous Hall insulators based on the $p_x$- and $p_y$-orbital bands in the honeycomb lattice. The multiorbital structure allows the…

Mesoscale and Nanoscale Physics · Physics 2014-08-12 Gu-Feng Zhang , Yi Li , Congjun Wu

The unique connectivity of kagome lattices gives rise to topological properties, such as flat bands and Dirac cones. When combined with ferromagnetism and a chemical potential near the 2D Dirac points, this structure offers the potential to…

We experimentally realize a photonic analogue of the anomalous quantum Hall insulator using a two-dimensional (2D) array of coupled ring resonators. Similar to the Haldane model, our 2D array is translation invariant, has zero net gauge…

Hexagonal lattice systems (e.g. triangular, honeycomb, kagome) possess a multidimensional irreducible representation corresponding to $d_{x^2-y^2}$ and $d_{xy}$ symmetry. Consequently, various unconventional phases that combine these…

Strongly Correlated Electrons · Physics 2013-11-18 Akash V. Maharaj , Ronny Thomale , S. Raghu

Historically, the genesis of anomalous Hall effect (AHE) in magnetic materials has always been a fascinating yet controversial topic in the solid state physics community. Recent progress on the understanding of this topic has revealed an…

Strongly Correlated Electrons · Physics 2021-11-29 Durgesh Singh , Jadupati Nag , Sankararao Yadam , V. Ganesan , Aftab Alam , K. G. Suresh

We establish that the interplay of itinerant fermions with localized magnetic moments on a checkerboard lattice leads to magnetic flux-phases. For weak itineracy the flux-phase is coplanar and the electronic dispersion takes the shape of…

Strongly Correlated Electrons · Physics 2015-06-04 Jörn W. F. Venderbos , Maria Daghofer , Jeroen van den Brink , Sanjeev Kumar

In this letter, we analyze the topological response of a fermionic model defined on the Lieb lattice in presence of an electromagnetic field. The tight-binding model is built in terms of three species of spinless fermions and supports a…

Strongly Correlated Electrons · Physics 2018-02-23 N. Menezes , C. Morais Smith , Giandomenico Palumbo

We engineer topological insulating phases in a fermion-fermion mixture on the honeycomb lattice, without resorting to artificial gauge fields or spin-orbit couplings and considering only local interactions. Essentially, upon integrating out…

Strongly Correlated Electrons · Physics 2016-05-26 Tianhan Liu , Benoît Douçot , Karyn Le Hur

We investigate the quantum anomalous Hall effect in a mixture of ultra-cold neutral bosons and fermions held on a hexagonal optical lattice. In the strong atom-atom interaction limit, composite fermions composed of one fermion with bosons…

Quantum Gases · Physics 2015-06-04 Shang-Shun Zhang , Heng Fan , Wu-Ming Liu

Quantum interference is studied in a three-band model of pseudospin-one fermions in the $\alpha-\mathcal{T}_3$ lattice. We derive a general formula for magnetoconductivity that predicts a rich crossover between weak localization (WL) and…

Mesoscale and Nanoscale Physics · Physics 2023-06-28 Adesh Singh , G. Sharma

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

In a heterostructure of graphene and the ferromagnetic insulator EuO, the Eu atoms induce proximity exchange and inter-valley interactions in the graphene layer. Constrained by the lattice symmetries, and guided by ab initio calculations, a…

Materials Science · Physics 2017-04-11 Shanshan Su , Yafis Barlas , Roger K. Lake

Quantum anomalous Hall (QAH) insulator is a topological phase which exhibits chiral edge states in the absence of magnetic field. The celebrated Haldane model is the first example of QAH effect, but difficult to realize. Here, we predict…

Materials Science · Physics 2017-03-24 H. P. Wang , Wei Luo , H. J. Xiang

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

We theoretically investigate the barrier tunneling in the three-dimensional model of the hyperhoneycomb lattice, which is a nodal-line semimetal with a Dirac loop at zero energy. In the presence of a rectangular potential, the scattering…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 Ji-Huan Guan , Yan-Yang Zhang , Wei-Er Lu , Yang Xia , Shu-Shen Li

Unconventional fermions with high degeneracies in three dimensions beyond Weyl and Dirac fermions have sparked tremendous interest in condensed matter physics. Here, we study quantum Hall effects (QHEs) in a two-dimensional (2D)…

Strongly Correlated Electrons · Physics 2017-10-11 Yong Xu , L. -M. Duan