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Topological insulators (TIs) represent a novel quantum state of matter, characterized by edge or surface-states, showing up on the topological character of the bulk wave functions. Allowing electrons to move along their surface, but not…

We study plasmonic excitations in the Kane-Mele model, a two-dimensional Z2 topological insulator on the honeycomb lattice, using the random phase approximation (RPA). In the topologically non-trivial phase, the model has conducting edge…

Mesoscale and Nanoscale Physics · Physics 2023-04-26 Yuling Guan , Stephan Haas , Henning Schlomer , Zhihao Jiang

Recently the Quantum Spin Hall effect (QSH) was theoretically predicted and experimentally realized in a quantum wells based on binary semiconductor HgTe[1-3]. QSH state and topological insulators are the new states of quantum matter…

Materials Science · Physics 2013-08-08 S. Chadov , X. -L. Qi , J Kübler , G. H. Fecher , C. Felser , S. -C. Zhang

In this work we study the formation and dynamics of polarons in a system with a few impurities in a lattice immersed in a Bose-Einstein condensate (BEC). This system has been experimentally realized using ultracold atoms and optical…

Quantum Gases · Physics 2016-01-01 Tao Yin , Daniel Cocks , Walter Hofstetter

Topologically nontrivial band structure of a material may give rise to special states that are confined to the material's boundary and protected against disorder and scattering. Quantum spin Hall effect (QSHE) is a paradigmatic example of…

Mesoscale and Nanoscale Physics · Physics 2025-12-09 Luis Alberto Razo López , Pierre Wulles , Geoffroy J. Aubry , Sergey E. Skipetrov , Fabrice Mortessagne

Surface plasmons or phonons propagating on a two-dimensional (2D) material can exhibit coupling with resonant excitations in its substrate, and the resulting coupled modes were extensively studied. Similar coupling of edge modes propagating…

Optics · Physics 2025-07-23 Azat F. Aminov , Alexey A. Sokolik

We investigate the effect of spatially correlated disorder on two-dimensional topological insulators and on the quantum spin Hall effect which the helical edge states in these systems give rise to. Our work expands the scope of previous…

Mesoscale and Nanoscale Physics · Physics 2013-07-15 A. Girschik , F. Libisch , S. Rotter

The topological properties of the one-dimensional interacting systems with spatially modulated interaction in two-particle regime are theoretically investigated. Taking the boson-Hubbard model and spinless fermion interacting model as…

Strongly Correlated Electrons · Physics 2025-02-11 Zheng-Wei Zuo , Wanwan Shi , Haisheng Li

We address the co-existence of massless and massive topological edge states at the interface between two materials with different topological phases. We modify the well known Bernevig-Hughes-Zhang model to introduce a smooth function…

Mesoscale and Nanoscale Physics · Physics 2020-02-26 Tineke L. van den Berg , M. Reyes Calvo , Dario Bercioux

Topological band structures in electronic systems like topological insulators and semimetals give rise to highly unusual physical properties. Analogous topological effects have also been discussed in bosonic systems, but the novel phenomena…

Mesoscale and Nanoscale Physics · Physics 2017-03-06 Hoi Chun Po , Yasaman Bahri , Ashvin Vishwanath

We study interaction-driven edge reconstruction in a quantum spin Hall insulator described by the Bernevig-Hughes-Zhang model with Kanamori-Hubbard interactions using the real-space density matrix renormalization group method in both the…

Mesoscale and Nanoscale Physics · Physics 2025-08-15 Rahul Soni , Matthias Thamm , Gonzalo Alvarez , Bernd Rosenow , Adrian Del Maestro

For 2D topological insulators with strong electron-hole hybridization, such as HgTe/CdTe quantum wells, the widely used 4 x 4 k.p Hamiltonian based on the first electron and heavy hole sub-bands yields an equal number of physical and…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Philip Klipstein

Recent topological band theory distinguishes electronic band insulators with respect to various symmetries and topological invariants, most commonly, the time reversal symmetry and the $\rm Z_2$ invariant. The interface of two topologically…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 S. U. Piatrusha , E. S. Tikhonov , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , V. S. Khrapai

We present an effective low-energy theory of electron-phonon coupling effects for clean cylindrical topological insulator nanowires. Acoustic phonons are modelled by isotropic elastic continuum theory with stress-free boundary conditions.…

Mesoscale and Nanoscale Physics · Physics 2020-01-07 Kathrin Dorn , Alessandro De Martino , Reinhold Egger

We propose a minimal effective two-dimensional Hamiltonian for HgTe/CdHgTe quantum wells (QWs) describing the side maxima of the first valence subband. By using the Hamiltonian, we explore the picture of helical edge states in tensile and…

Mesoscale and Nanoscale Physics · Physics 2018-04-11 S. S. Krishtopenko , F. Teppe

Conventional wisdom holds that, in the simplest time-reversal-symmetric setting, strongly coupling two QSH layers yields a trivial $\mathbb Z_2$ phase and no protected topological edge states. We demonstrate that, in a regime with…

Mesoscale and Nanoscale Physics · Physics 2025-12-17 Mengjie Yang , Ching Hua Lee

We study the effect of electron-phonon interactions on the electrical conductance of a helical edge state of a two-dimensional topological insulator. We show that the edge deformation caused by bulk acoustic phonons modifies the spin…

Mesoscale and Nanoscale Physics · Physics 2018-06-20 Solofo Groenendijk , Giacomo Dolcetto , Thomas L. Schmidt

The discovery of topological insulators has rapidly been followed by the advent of their photonic analogues, motivated by the prospect of backscattering-immune light propagation. So far, however, implementations have mainly relied on…

Optics · Physics 2019-08-16 Diaaaldin J. Bisharat , Daniel F. Sievenpiper

We characterize gapless edge modes in translation invariant topological insulators. We show that the edge mode spectrum is a continuous deformation of the spectrum of a certain gluing function defining the occupied state bundle over the…

Strongly Correlated Electrons · Physics 2015-03-17 Lukasz Fidkowski , T. S. Jackson , Israel Klich

In a three-dimensional strong topological insulator, gapless helical surface states appear everywhere on its surface. In the presence of a screw dislocation, gapless helical modes also appear in the vicinity of the corresponding dislocation…

Mesoscale and Nanoscale Physics · Physics 2024-05-28 Tatsuro Sakaguchi , Yositake Takane