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Charge transport in topological insulators is primarily characterised by so-called topologically projected helical edge states, where charge carriers are correlated in spin and momentum. In principle, dissipation-less current can be carried…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Jesse A. Vaitkus , Cong Son Ho , Jared H. Cole

We show that quasiparticle interference (QPI) due to omnipresent weak impurities and probed by Fourier transform scanning tunneling microscopy and spectroscopy acts as a direct experimental probe of bulk odd-frequency superconducting…

Superconductivity · Physics 2023-01-11 Debmalya Chakraborty , Annica M. Black-Schaffer

We perform large-scale numerical calculations self-consistently solving the Bogoliubov-de Gennes (BdG) equations in the magnetic field together with random impurities to directly demonstrate the typical quasi-particle interference (QPI) in…

Superconductivity · Physics 2012-03-23 Yuki Nagai , Noriyuki Nakai , Masahiko Machida

We study symmetry protected features in the quasiparticle interference (QPI) pattern of 2D systems with mirror symmetries and time-reversal symmetry, around a single static point impurity. We show that, in the Fourier transformed local…

Mesoscale and Nanoscale Physics · Physics 2013-10-30 Chen Fang , Matthew J. Gilbert , Su-Yang Xu , B. Andrei Bernevig , M. Zahid Hasan

Impurities that are present on the surface of a metal often have internal degrees of freedom. Inelastic scattering due to impurities can be revealed by observing local features seen in the tunneling current with scanning tunneling…

Mesoscale and Nanoscale Physics · Physics 2007-06-13 J. Fransson , A. V. Balatsky

A general partial-wave multiple scattering theory for scattering from cylindrically symmetric potentials on a topological insulator (TI) surface is developed. As an application, the cross sections for a single scatterer and two scatterers…

Mesoscale and Nanoscale Physics · Physics 2011-12-09 Zhen-Guo Fu , Ping Zhang , Zhigang Wang , Shu-Shen Li

We analyze the spin- and charge-density oscillations near impurities in spin chains and quantum wires. These so-called Friedel oscillations give detailed information about the impurity and also about the interactions in the system. The…

Strongly Correlated Electrons · Physics 2009-10-31 Stefan Rommer , Sebastian Eggert

Topological insulators as new type of quantum matter materials are characterized by a full insulating gap in the bulk and gapless edge/surface states which are protected by time-reversal symmetry. We propose the interference patterns caused…

Mesoscale and Nanoscale Physics · Physics 2013-06-10 Jing Wang , Bang-Fen Zhu

The electron scattering from periodic line defects on the surface of topological insulators with hexagonal warping effect is investigated theoretically by means of a transfer matrix method. The influence of surface line defects, acting as…

Mesoscale and Nanoscale Physics · Physics 2020-07-28 H. Dehnavi , A. A. Masoudi , M. Saadat , H. Ghadiri , A. Saffarzadeh

The low-energy physics of rhombohedral $N$-layer graphene mainly arises on the external layers, where most of the {\pi} electrons are located. Their Bloch band structure defines a two-band semimetal; the dispersion relation scales as $\pm…

Mesoscale and Nanoscale Physics · Physics 2016-01-13 C. Dutreix , M. I. Katsnelson

The protected surface states of topological insulators (TIs) form gapless Dirac cones corresponding non-degenerate eigenstates with helical spin polarisation. The presence of a warping term deforms the isotropic cone of the most simple…

Materials Science · Physics 2020-07-02 Peter Thalmeier , Alireza Akbari

Complete theoretical understanding of the most complex superconductors requires a detailed knowledge of the symmetry of the superconducting energy-gap $\Delta_\mathbf{k}^\alpha$, for all momenta $\mathbf{k}$ on the Fermi surface of every…

We study the density disturbance of a correlated 1D electron liquid in the presence of a scatterer or a barrier. The 2k_F-periodic density profile away from the barrier (Friedel oscillation) is computed for arbitrary electron--electron…

Condensed Matter · Physics 2007-05-23 Reinhold Egger , Hermann Grabert

Repeated observations of inhomogeneity in cuperate superconductors[1-5] make one immediately question the existance of coherent quasiparticles(qp's) and the applicability of a momentum space picture. Yet, obversations of interference…

Superconductivity · Physics 2010-04-13 Eun-Ah Kim , Michael J. Lawler

We revisit the interpretation of quasiparticle scattering interference in cuprate high-$T_c$ superconductors. This phenomenon has been very successful in reconstructing the dispersions of d-wave Bogoliubov excitations, but the successful…

Superconductivity · Physics 2017-10-18 Miguel Antonio Sulangi , Milan P. Allan , Jan Zaanen

The emergence of the Pomeranchuk instability (PI) in a Helical Fermi liquid (HFL) residing on the surface of a three-dimensional topological insulator (3D TI) is addressed at the mean-field level. An expression for the PI condition is…

Strongly Correlated Electrons · Physics 2018-12-31 Subhajit Sarkar

Among the family of topological superconductors derived from {\BiSe}, $\mathrm{Cu}_x(\mathrm{PbSe})_{5}(\mathrm{Bi}_{2}\mathrm{Se}_{3})_{6}$ is unique in its surface termination of a single quintuple layer (QL) of the topological insulator…

Mesoscale and Nanoscale Physics · Physics 2025-07-15 Mahasweta Bagchi , Philipp Rüßmann , Gustav Bihlmayer , Stefan Blügel , Yoichi Ando , Jens Brede

Quasiparticle interference (QPI) of the electronic states has been widely applied in scanning tunneling microscopy (STM) to analyze the electronic band structure of materials. Single-defect induced QPI reveals defect-dependent interaction…

Materials Science · Physics 2020-07-08 Wenhao Zhang , Kunliang Bu , Fangzhou Ai , Zongxiu Wu , Ying Fei , Yuan Zheng , Jianhua Du , Minghu Fang , Yi Yin

Quasiparticle interference (QPI) imaging is well established to study the low-energy electronic structure in strongly correlated electron materials with unrivalled energy resolution. Yet, being a surface-sensitive technique, the…

We develop a theory for energy and spatially resolved tunneling spectroscopy of topological quantum spin Hall helical states driven out of equilibrium. When a helical liquid is constrained between two superconducting reservoirs transport at…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Stanislav S. Apostolov , Alex Levchenko