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We study topology in gapless phases of an interacting spinful model with spin-charge separation. We focus on the gapless boundaries between $\mathbb{Z}_2$ symmetry-breaking phases. We find two topologically non-trivial gapless states that…

强关联电子 · 物理学 2026-03-27 Polina Matveeva , Dmitri Gutman , Sam T. Carr

We use the bulk Hamiltonian for a three-dimensional topological insulator such as $\rm Bi_2 Se_3$ to study the states which appear on its various surfaces and along the edge between two surfaces. We use both analytical methods based on the…

介观与纳米尺度物理 · 物理学 2015-06-18 Oindrila Deb , Abhiram Soori , Diptiman Sen

We study how non-helical spin textures at the boundary between a topological insulator (TI) and a superconductor (SC) affect the proximity-induced superconductivity of the TI interface state. We consider TIs coupled to both spin-singlet and…

超导电性 · 物理学 2018-10-02 David J. Alspaugh , Mahmoud M. Asmar , Daniel E. Sheehy , Ilya Vekhter

We give an introduction to topological crystalline insulators, that is, gapped ground states of quantum matter that are not adiabatically connected to an atomic limit without breaking symmetries that include spatial transformations, like…

介观与纳米尺度物理 · 物理学 2021-04-30 Titus Neupert , Frank Schindler

The surface bound electronic states of three-dimensional topological insulators, as well as the edge states in two-dimensional topological insulators, are investigated in the presence of a circularly polarized light. The strong coupling…

介观与纳米尺度物理 · 物理学 2015-06-05 Andrii Iurov , Godfrey Gumbs , Oleksiy Roslyak , Danhong Huang

A salient feature of solid-state topological materials in two dimensions is the presence of conducting electronic edge states that are insensitive to scattering by disorder. Such unidirectional edge states have been explored in many…

光学 · 物理学 2021-12-28 Sebabrata Mukherjee , Mikael C. Rechtsman

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

A non-Hermitian topological insulator is fundamentally different from conventional topological insulators. The non-Hermitian skin effect arises in a nonreciprocal tight binding lattice with open edges. In this case, not only topological…

介观与纳米尺度物理 · 物理学 2020-01-01 C. Yuce

Prototypical three-dimensional topological insulators of the Bi$_2$Se$_3$ family provide a beautiful example of the appearance of the surface states inside the bulk band gap caused by spin-orbit coupling-induced topology. The surface states…

介观与纳米尺度物理 · 物理学 2020-10-27 Klaus Zollner , Jaroslav Fabian

Two-dimensional topological insulators are characterized by gapped bulk states and gapless helical edge states, i.e. time-reversal symmetric edge states accommodating a pair of counter-propagating electrons. An external magnetic field…

介观与纳米尺度物理 · 物理学 2012-04-02 G. Tkachov , E. M. Hankiewicz

Topological crystalline insulators (TCI) are new topological phases of matter protected by crystal symmetry of solids. Recently, the first realization of TCI has been predicted and observed in IV-VI semiconductor SnTe and related alloys…

材料科学 · 物理学 2013-12-18 Junwei Liu , Wenhui Duan , Liang Fu

Time reversal (T) invariant topological insulator is widely recognized as one of the fundamental discoveries in condensed matter physics, for which the most fascinating hallmark is perhaps a spin based topological protection, the total…

介观与纳米尺度物理 · 物理学 2017-01-17 Xue-Feng Zhu , Yu-Gui Peng , Xiang-Yuan Yu , Han Jia , Ming Bao , Ya-Xi Shen , De-Gang Zhao

The existence of edge states is one of the most vital properties of topological insulators. Although tremendous success has been accomplished in describing and explaining edge states associated with PT symmetry breaking, little work has…

数学物理 · 物理学 2025-03-11 Ying Cao , Yi Zhu

We report the emergence of electronic edge states in time-periodically driven strained armchair terminated graphene nanoribbons. This is done by considering a short-pulse spatial-periodic strain field. Then, the tight-binding Hamiltonian of…

介观与纳米尺度物理 · 物理学 2017-10-18 Pedro Roman-Taboada , Gerardo G. Naumis

The electronic property of monolayer-bilayer hybrid graphene with a zigzag interface is studied by both the Dirac equation and numerical calculation. There are two types of zigzag interface stacks. The dispersion and local density of states…

介观与纳米尺度物理 · 物理学 2015-05-27 Zi-Xiang Hu , Wenxin Ding

We study the correspondence between the non-trivial topological properties associated with the individual valleys of gapped bilayer graphene (BLG), as a prototypical multi-valley system, and the gapless modes at its edges and other…

介观与纳米尺度物理 · 物理学 2010-12-10 Jian Li , Alberto F. Morpurgo , Markus Büttiker , Ivar Martin

Flat electronic bands can accommodate a plethora of interaction driven quantum phases, since kinetic energy is quenched therein and electronic interactions therefore prevail. Twisted bilayer graphene, near so-called the "magic angles",…

介观与纳米尺度物理 · 物理学 2019-03-27 Bitan Roy , Vladimir Juricic

Topological insulators are a new class of materials which have gapped spectra in the bulk, but are accompanied by topologically protected gapless excitations at the surface (edge) of the system. These phenomena have a close relationship…

介观与纳米尺度物理 · 物理学 2015-11-30 Taro Kimura

Topological insulators have an insulating bulk but a metallic surface. In the simplest case, the surface electronic structure of a 3D topological insulator is described by a single 2D Dirac cone. A single 2D Dirac fermion cannot be realized…

介观与纳米尺度物理 · 物理学 2013-04-08 Jens H. Bardarson , Joel E. Moore

Topological states of electrons present new avenues to explore the rich phenomenology of correlated quantum matter. Topological insulators (TIs) in particular offer an experimental setting to study novel quantum critical points (QCPs) of…

强关联电子 · 物理学 2016-07-27 William Witczak-Krempa , Joseph Maciejko