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The topological nature of topological insulators are related to the symmetries present in the material, for example, quantum spin Hall effect can be observed in topological insulators with time reversal symmetry, while broken time reversal…

The system of spinless fermions on a hexagonal lattice is studied . We have considered tight-binding model with the hopping integrals between the nearest-neighbor and next-nearest-neighbor lattice sites, that depend on the direction of the…

强关联电子 · 物理学 2017-04-27 Igor N. Karnaukhov

Systems of strongly interacting particles, fermions or bosons, can give rise to topological phases that are not acessible to non-interacting systems. Many such interaction-enabled topological phases have been discussed theoretically but few…

强关联电子 · 物理学 2015-12-30 Ching-Kai Chiu , D. I. Pikulin , M. Franz

Using Cluster Perturbation Theory we calculate Green's functions, quasi-particle energies and topological invariants for interacting electrons on a 2-D honeycomb lattice, with intrinsic spin-orbit coupling and on-site e-e interaction. This…

强关联电子 · 物理学 2015-02-03 F. Grandi , F. Manghi , O. Corradini , C. M. Bertoni , A. Bonini

We theoretically study the proximity effect and the inverse proximity effect in a topological insulator/iron-based superconductor heterostructure based on the microscopic model. The superconducting order parameter is self-consistently…

超导电性 · 物理学 2023-03-09 Qi-Guang Zhu , Tao Zhou

Based on the Dirac equations in the two-dimensional $\pi-$ flux model, we study the interaction effects both in nontrivial gapped and gapless Dirac equations with numerical exact diagonalization method. In the presence of the nearest and…

强关联电子 · 物理学 2015-06-15 Yongfei Jia , Huaiming Guo , Ziyu Chen , Shun-Qing Shen , Shiping Feng

With increased attention on grid-forming inverters as a power system stabilizing device during periods of high shares of inverter-based resource operations, there is a present need for a transparent and rigorous investigation of the…

系统与控制 · 电气工程与系统科学 2022-10-11 Rick Wallace Kenyon , Amirhossein Sajadi , Matt Bossart , Andy Hoke , Bri-Mathias Hodge

Topological insulators subject to a time-symmetry-breaking perturbation are predicted to display a magneto-electric effect that causes the electric and magnetic induction fields to mix at the material's surface. This effect induces…

光学 · 物理学 2015-10-22 J. A. Crosse

We study the influence of the antiferromagnetic order on the surface states of topological insulators. We derive an effective Hamiltonian for these states, taking into account the spatial structure of the antiferromagnetic order. We obtain…

介观与纳米尺度物理 · 物理学 2024-05-14 R. S. Akzyanov , A. L. Rakhmanov

The strong correlation effects on topological insulator are studied in a two-sublattice system with an onsite single-particle energy difference $\Delta$ between two sublattices. At $\Delta=0$, increasing the onsite interaction strength $U$…

强关联电子 · 物理学 2010-11-25 Xiong-Jun Liu , Yang Liu , Xin Liu

In magnetic topological insulators, the surface states can exhibit a gap due to the breaking of time-reversal symmetry. Various experiments, while suggesting the existence of the surface gap, have raised questions about its underlying…

介观与纳米尺度物理 · 物理学 2024-11-20 Habib Rostami , Ali G. Moghaddam

We investigate Josephson and proximity effects on the surface of a topological insulator on which superconductors and a ferromagnet are deposited. The superconducting regions are described by the conventional BCS Hamiltonian, rather than…

超导电性 · 物理学 2015-06-05 Takehito Yokoyama

By means of finite size exact diagonalization we theoretically study the electronic many-body effects on the nearly flat-band structure with time-reversal symmetry in a checkerboard lattice model and identify the topological nature of two…

强关联电子 · 物理学 2014-08-12 Wei Li , D. N. Sheng , C. S. Ting , Yan Chen

The study of correlation effects in topological phases of matter can benefit from a multidisciplinary approach that combines techniques drawn from condensed matter, high-energy physics and quantum information science. In this work, we…

强关联电子 · 物理学 2022-09-19 E. Tirrito , S. Hands , A. Bermudez

Higher-order topological insulators have attracted significant interest in both static single-particle and many-body lattice systems. While periodically driven (Floquet) higher-order topological phases have been explored at the…

介观与纳米尺度物理 · 物理学 2025-07-15 Chun-Ping Su , Zhao-Fan Cai , Tao Liu

Topological invariants play a key role in the characterization of topological states. Due to the existence of exceptional points, it is a great challenge to detect topological invariants in non-Hermitian systems. We put forward a dynamic…

量子物理 · 物理学 2020-04-22 Bo Zhu , Yongguan Ke , Honghua Zhong , Chaohong Lee

Ferromagnetism in topological insulators (TIs) opens a topologically non-trivial exchange band gap, providing an exciting platform to manipulate the topological order through an external magnetic field. Here, we experimentally show that the…

When a ferromagnet is deposited on the surface of a topological insulator the topologically protected surface state develops a gap and becomes a 2-dimensional quantum Hall liquid. We demonstrate that the Hall current in such a liquid,…

材料科学 · 物理学 2015-05-14 Ion Garate , M. Franz

Topological matter exhibits exotic properties yet phases characterized by large topological invariants are difficult to implement, despite rapid experimental progress. A promising route toward higher topological invariants is via engineered…

量子物理 · 物理学 2019-01-02 Lei Xiao , Xingze Qiu , Kunkun Wang , Zhihao Bian , Xiang Zhan , Hideaki Obuse , Barry C. Sanders , Wei Yi , Peng Xue

The anomalous quantum Hall conductivity in the 2+1D topological insulators in the absence of interactions may be expressed as the topological invariant composed of the two - point Green function. For the noninteracting system this…

介观与纳米尺度物理 · 物理学 2021-04-23 C. X. Zhang , M. A. Zubkov
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