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Recently, the concept of topological insulators has been generalized to topological semimetals, including three-dimensional (3D) Weyl semimetals, 3D Dirac semimetals, and 3D node-line semimetals. In particular, several compounds (e.g.,…

材料科学 · 物理学 2017-06-07 J. L. Lu , W. Luo , X. Y. Li , S. Q. Yang , J. X. Cao , X. G. Gong , H. J. Xiang

According to the general classification of topological insulators, there exist one-dimensional chirally (sublattice) symmetric systems that can support any number of topological phases. We introduce a zigzag fermion chain with spin-orbit…

介观与纳米尺度物理 · 物理学 2011-10-12 Jukka I. Väyrynen , Teemu Ojanen

We investigate a tight-binding model of the octahedron-decorated cubic lattice with spin-orbit coupling. We calculate the band structure of the lattice and evaluate the Z_2 topological indices. According to the Z_2 topological indices and…

强关联电子 · 物理学 2015-05-27 Jing-Min Hou , Wen-Xin Zhang , Guo-Xiang Wang

We study the half-filled Hubbard model on the triangular lattice with spin-dependent Kitaev-like hopping. Using the variational cluster approach, we identify five phases: a metallic phase, a non-coplanar chiral magnetic order, a $120^\circ$…

强关联电子 · 物理学 2016-09-15 Kai Li , Shun-Li Yu , Zhao-Long Gu , Jian-Xin Li

We propose helically twisted homotrilayer transition metal dichalcogenides as a platform for realizing correlated topological phases of matter with higher and tunable Chern numbers. We show that a clear separation of scales emerges for…

介观与纳米尺度物理 · 物理学 2025-11-24 Jungho Daniel Choi , Nicolás Morales-Durán , Yves H. Kwan , Andrew J. Millis , Nicolas Regnault , Daniele Guerci

The recently synthesized ternary quasi-2D material TaRhTe$_4$ is a bulk Weyl semimetal with an intrinsically layered structure, which poses the question how the topology of its electronic structure depends on layers separations.…

材料科学 · 物理学 2025-09-18 Xiao Zhang , Ning Mao , Oleg Janson , Jeroen van den Brink , Rajyavardhan Ray

We propose an extended Hubbard model on a 2D Kagome lattice with an additional ring-exchange term. The particles can be either bosons or spinless fermions . At a special filling fraction of 1/6 the model is analyzed in the lowest…

强关联电子 · 物理学 2007-05-23 Michael Freedman , Chetan Nayak , Kirill Shtengel

The exploration of topological phases remains a cutting-edge research frontier, driven by their promising potential for next-generation electronic and quantum technologies. In this work, we employ first-principles calculations and…

材料科学 · 物理学 2026-03-06 Sibin Lü , Jun Hu

We investigate the influence of different spin-orbit couplings on topological phase transitions in the bilayer Kane-Mele model. We find that the competition between intrinsic spin-orbit coupling and Rashba spin-orbit coupling can lead to…

介观与纳米尺度物理 · 物理学 2014-12-15 Hui Pan , Xin Li , Zhenhua Qiao , Cheng-Cheng Liu , Yugui Yao , Shengyuan A. Yang

The recent discovery of topological insulators has revived interest in the topological properties of insulating band structures. In this work, we extend the topological classification of insulating band structures to include certain point…

材料科学 · 物理学 2011-03-15 Liang Fu

In a class of carbon-based materials called polymerized triptycene, which consist of triptycene molecules and phenyls, exotic electronic structures such as Dirac cones and flat bands arise from the kagome-type network. In this paper, we…

介观与纳米尺度物理 · 物理学 2019-11-26 Tomonari Mizoguchi , Mina Maruyama , Susumu Okada , Yasuhiro Hatsugai

Motivated by exploring the effect of interactions on Chern insulators, and by recent experiments realizing topological bands for ultracold atoms in synthetic gauge fields, we study the honeycomb lattice Haldane-Hubbard model of spin-$1/2$…

强关联电子 · 物理学 2016-03-08 V. S. Arun , R. Sohal , C. Hickey , A. Paramekanti

Magic-angle twisted bilayer graphene has recently become a thriving material platform realizing correlated electron phenomena taking place within its topological flat bands. Several numerical and analytical methods have been applied to…

强关联电子 · 物理学 2021-09-17 Bin-Bin Chen , Yuan Da Liao , Ziyu Chen , Oskar Vafek , Jian Kang , Wei Li , Zi Yang Meng

Higher-order topological insulators are a new class of topological phases of matter, originally conceived for electrons in solids. It has been suggested that $\mathbb{Z}_N$ Berry phase (Berry phase quantized into $2\pi/N$) is a useful tool…

介观与纳米尺度物理 · 物理学 2020-05-20 Huanhuan Yang , Z. -X. Li , Yuanyuan Liu , Yunshan Cao , Peng Yan

We construct a lattice model for a cubic Kondo insulator consisting of one spin-degenerate $d$ and $f$ orbital at each lattice site. The odd-parity hybridization between the two orbitals permits us to obtain various trivial and topological…

强关联电子 · 物理学 2014-02-13 Markus Legner , Andreas Rüegg , Manfred Sigrist

We study the topological phase in dipolar-coupled two-dimensional breathing square lattice of magnetic vortices. By evaluating the quantized Chern number and $\mathbb{Z}_{4}$ Berry phase, we obtain the phase diagram and identify that the…

介观与纳米尺度物理 · 物理学 2020-05-14 Z. -X. Li , Yunshan Cao , X. R. Wang , Peng Yan

We demonstrate the realization of topological band structures by exploiting the intrinsic spin-orbit coupling of dipolar interactions in combination with broken time-reversal symmetry. The system is based on polar molecules trapped in a…

Topological crystalline phases in electronic structures can be generally classified using the spatial symmetry characters of the valence bands and mapping them onto appropriate symmetry indicators. These mappings have been recently applied…

介观与纳米尺度物理 · 物理学 2019-10-02 Sander H. Kooi , Guido van Miert , Carmine Ortix

Emergence of multiple topological phases with a series of Chern numbers, $\pm 1$, $\mp 1$, $\pm 2$, $\mp 2$, $\pm 3$ and $\mp 4$, are observed in a ferromagnetic Kitaev-Heisenberg-spin-anisotropic model on honeycomb lattice with further…

介观与纳米尺度物理 · 物理学 2020-01-06 Moumita Deb , Asim Kumar Ghosh

Twisted homobilayer transition metal dichalcogenides - specifically twisted bilayer MoTe$_2$ and twisted bilayer WSe$_2$ - have recently emerged as a versatile platform for strongly correlated and topological phases of matter. These…

强关联电子 · 物理学 2026-03-10 Bohao Li , Wen-Xuan Qiu , Fengcheng Wu , A. H. MacDonald