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The non-interacting band structure of spinless fermions in a two-dimensional ($d=2$) $p$-band honeycomb lattice exhibits two quadratic band touching points (QBTPs), which lie at the Fermi levels of filling $\nu=1/4$ and its particle-hole…

强关联电子 · 物理学 2019-07-10 Hua Chen , X. C. Xie

The exsitance of three-dimensional Hall effect (3DQHE) due to spontaneous Fermi surface instabilities in strong magnetic field was proposed decades ago, and has stimulated recent progress in experiments. The reports in recent experiments…

介观与纳米尺度物理 · 物理学 2021-11-24 H. Geng , G. Y. Qi , L. Sheng , W. Chen , D. Y. Xing

We have studied interacting and non-interacting quantum degenerate Fermi gases in a three-dimensional optical lattice. We directly image the Fermi surface of the atoms in the lattice by turning off the optical lattice adiabatically. Due to…

超导电性 · 物理学 2009-11-10 Michael Köhl , Henning Moritz , Thilo Stöferle , Kenneth Günter , Tilman Esslinger

We study the topological properties of magnon excitations in a wide class of three dimensional (3D) honeycomb lattices with ferromagnetic ground states. It is found that they host nodal ring magnon excitations. These rings locate on the…

介观与纳米尺度物理 · 物理学 2017-07-12 Kangkang Li , Jiangping Hu

Topologically non-trivial nodes emerging from flat-band crossings not only enhance unconventional topological responses but also play a fundamental role in exploring correlation-driven topological physics. Here, we report the exceptionally…

Weyl semimetals are gapless quasi-topological materials with a set of isolated nodal points forming their Fermi surface. They manifest their quasi-topological character in a series of topological electromagnetic responses including the…

介观与纳米尺度物理 · 物理学 2016-02-05 Hassan Shapourian , Taylor L. Hughes

The quantum Hall effect in three-dimensional Weyl semimetal (WSM) receives significant attention for the emergence of the Fermi loop where the underlying two-dimensional Hall conductivity, namely, sheet Hall conductivity, shows quantized…

介观与纳米尺度物理 · 物理学 2022-08-02 Feng Xiong , Carsten Honerkamp , Dante M. Kennes , Tanay Nag

We study interaction effects, including both long-ranged Coulomb and short-range interactions, in three-dimensional topological triple-Weyl semimetals whose triple-Weyl points are protected by crystal symmetries. By performing Wilsonian…

强关联电子 · 物理学 2017-12-27 Shi-Xin Zhang , Shao-Kai Jian , Hong Yao

We study the anomalous Hall effect on the antiferromagnetic coloring-triangular lattice with a coplanar magnetic configuration in presence of a spin-orbit interaction. The effect of the spin-orbit coupling is included at effective level as…

强关联电子 · 物理学 2022-07-20 A. C. Duran , S. A. Osorio , M. B. Sturla

We present a theory of the intrinsic anomalous Hall effect in a model of a doped Weyl semimetal, which serves here as the simplest toy model of a generic three-dimensional metallic ferromagnet with Weyl nodes in the electronic structure. We…

介观与纳米尺度物理 · 物理学 2014-04-23 A. A. Burkov

We investigate the interplay between complex magnetic orders and topological electronic states in nonsymmorphic magnetic Weyl semimetals of the ReAlX family (Re is a rare earth element and X is Si or Ge). We show that a Skyrmion lattice can…

介观与纳米尺度物理 · 物理学 2026-05-19 Xi Luo , Yue Yu

We study the phase diagram of the extended Hubbard model on a two-dimensional square lattice, including on-site (U) and nearest-neighbor (V) interactions, at weak couplings. We show that the charge-density-wave phase that is known to occur…

超导电性 · 物理学 2013-08-14 Wen-Min Huang , Chen-Yen Lai , Chuntai Shi , Shan-Wen Tsai

An interplay between pairing and topological orders has been predicted to give rise to superconducting states supporting exotic emergent particles, such as Majorana particles obeying non-Abelian braid statistics. We consider a system of…

超导电性 · 物理学 2022-08-10 Jonathan Schirmer , C. -X. Liu , J. K. Jain

The anomalous Hall effect has been front and center in solid state research and material science for over a century now, and the complex transport phenomena in nontrivial magnetic textures have gained an increasing amount of attention, both…

介观与纳米尺度物理 · 物理学 2024-01-09 Jonathan Kipp , Fabian R. Lux , Thorben Pürling , Abigail Morrison , Stefan Blügel , Daniele Pinna , Yuriy Mokrousov

We define and study a three dimensional lattice model which displays a Weyl semi-metallic phase. This model consists of coupled layers of quantum (anomalous) Hall insulators. The Weyl semi-metallic phase appears between a resulting quantum…

介观与纳米尺度物理 · 物理学 2012-03-26 Pierre Delplace , Jian Li , David Carpentier

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…

强关联电子 · 物理学 2010-04-28 C. Weeks , M. Franz

There is considerable current interest to explore electronic topology in strongly correlated metals, with heavy fermion systems providing a promising setting. Recently, a Weyl-Kondo semimetal phase has been concurrently discovered in…

强关联电子 · 物理学 2020-04-01 Sarah E. Grefe , Hsin-Hua Lai , Silke Paschen , Qimiao Si

We consider a tight-binding model with the nearest neighbour hopping integrals on the honeycomb lattice in a magnetic field. Assuming one of the three hopping integrals, which we denote t_a, can take a different value from the two others,…

介观与纳米尺度物理 · 物理学 2009-04-03 Masatoshi Sato , Daijiro Tobe , Mahito Kohmoto

In mean-field-theory bilayer graphene's massive Dirac fermion model has a family of broken inversion symmetry ground states with charge gaps and flavor dependent spontaneous inter layer charge transfers. We use a lattice Hartree-Fock model…

介观与纳米尺度物理 · 物理学 2011-04-22 Jeil Jung , Fan Zhang , Allan H. MacDonald

The discovery of quantum Hall effect in two-dimensional (2D) electronic systems inspired the topological classifications of electronic systems1,2. By stacking 2D quantum Hall effects with interlayer coupling much weaker than the Landau…

材料科学 · 物理学 2020-04-22 Pang Wang , Yafei Ren , Fangdong Tang , Peipei Wang , Tao Hou , Hualing Zeng , Liyuan Zhang , Zhenhua Qiao