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We report the observation of a novel nonlinear optical response from the prototypical three-dimensional topological insulator Bi$_2$Se$_3$ through the process of high-order harmonic generation. We find that the generation efficiency…

We report on microscopic tight-binding modeling of surface states in Bi$_2$Se$_3$ three-dimensional topological insulator, based on a sp$^3$ Slater-Koster Hamiltonian, with parameters calculated from density functional theory. The effect of…

Mesoscale and Nanoscale Physics · Physics 2014-11-04 A. Pertsova , C. M. Canali

The discovery of topological phases has introduced a new dimension to materials science. Three-dimensional (3D) topological insulators (TIs) are a remarkable class of matter that is insulating in the bulk while hosting conductive…

Three dimensional topological insulators embody a newly discovered state of matter characterized by conducting spin-momentum locked surface states that span the bulk band gap as demonstrated via spin-resolved ARPES measurements . This…

Mesoscale and Nanoscale Physics · Physics 2012-05-09 L. Andrew Wray , Su-Yang Xu , Yuqi Xia , David Hsieh , Alexei V. Fedorov , Hsin Lin , Arun Bansil , Yew San Hor , Robert J. Cava , M. Zahid Hasan

The criteria for strong correlations on surfaces of three-dimensional topological insulators are discussed. Usually, the Coulomb repulsion at such surfaces is too weak for driving a phase transition to a strongly correlated regime. I…

Strongly Correlated Electrons · Physics 2012-11-09 Manuel J. Schmidt

High-harmonic generation (HHG) in the two topological phases of a finite, one-dimensional, periodic structure is investigated using a self-consistent time-dependent density functional theory (TDDFT) approach. For harmonic photon energies…

Optics · Physics 2018-04-26 Dieter Bauer , Kenneth K. Hansen

Topological phases of quantum matter defy characterization by conventional order parameters but can exhibit quantized electro-magnetic response and/or protected surface states. We examine such phenomena in a model for three-dimensional…

Strongly Correlated Electrons · Physics 2012-10-03 Ara Go , William Witczak-Krempa , Gun Sang Jeon , Kwon Park , Yong Baek Kim

Kerr-type nonlinearities form the basis for our physical understanding of nonlinear optical phenomena in condensed matter, such as self-focusing, solitary waves, and wave mixing. In strong fields, they are complemented by higher-order…

We provide a self-consistent mean-field framework to study the effect of strong interactions in a quantum spin Hall insulator on the honeycomb lattice. We identify an exotic phase for large spin-orbit coupling and intermediate Hubbard…

Strongly Correlated Electrons · Physics 2012-01-26 Andreas Rüegg , Gregory A. Fiete

We numerically investigate the surface states of a strong topological insulator in the presence of strong electron-electron interactions. We choose a spherical topological insulator geometry to make the surface amenable to a finite size…

Strongly Correlated Electrons · Physics 2015-07-08 T. Neupert , S. Rachel , R. Thomale , M. Greiter

Topological insulators are bulk semiconductors that manifest in-gap massless Dirac surface states due to the topological bulk-boundary correspondence principle [1-3]. These surface states have been a subject of tremendous ongoing interest,…

We discuss phenomena arising from the combined influence of electron correlation and spin-orbit coupling, with an emphasis on emergent quantum phases and transitions in heavy transition metal compounds with 4d and 5d elements. A common…

Strongly Correlated Electrons · Physics 2014-03-14 William Witczak-Krempa , Gang Chen , Yong Baek Kim , Leon Balents

High-order harmonic generation (HHG) in solids - the frequency up-conversion of an optical signal - is governed by symmetries. At terahertz (THz) frequencies, HHG is a key technology to access high frequency spectral windows that are…

Topological insulators embody a newly discovered state of matter characterized by conducting spin-momentum locked surface states that span the bulk band gap. So far, most of the study on topological insulator surfaces has been limited to…

Mesoscale and Nanoscale Physics · Physics 2012-06-04 L. A. Wray , Y. Xia , S. -Y. Xu , Y. S. Hor , R. J. Cava , A. Bansil , H. Lin , M. Z. Hasan

Recent theory and experiment have revealed that strong spin-orbit coupling can have dramatic qualitative effects on the band structure of weakly interacting solids. Indeed, it leads to a distinct phase of matter, the topological band…

Strongly Correlated Electrons · Physics 2015-05-13 D. A. Pesin , Leon Balents

The emergence of strong-field nanoplasmonics brings extreme laser field-matter interaction into the realm of nanoscale science, unveiling exciting new physics. Highly nonlinear interaction is enabled by tightly confined electric fields in…

Optics · Physics 2013-09-02 Shawn Sederberg , Abdulhakem Y. Elezzabi

Light can be strongly confined in sub-wavelength spatial regions through the interaction with plasmons, the collective electronic modes appearing in metals and semiconductors. This confinement, which is particularly important in the…

Interactions between the surface and the bulk in a strong topological insulator (TI) cause a finite lifetime of the topological surface states (TSS) as shown by the recent experiments. On the other hand, interactions also induce unitary…

Strongly Correlated Electrons · Physics 2018-07-04 T. Hakioglu

Sub-laser cycle time scale of electronic response to strong laser fields enables attosecond dynamical imaging in atoms, molecules and solids. Optical tunneling and high harmonic generation are the hallmarks of attosecond imaging in optical…

Optics · Physics 2019-10-22 R. E. F. Silva , Á. Jiménez-Galán , B. Amorim , O. Smirnova , M. Ivanov

Topological insulators embody a new state of matter characterized entirely by the topological invariants of the bulk electronic structure rather than any form of spontaneously broken symmetry. Unlike the 2D quantum Hall or quantum…

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