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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,…

Topological insulators are materials that have a gapped bulk energy spectrum, but contain protected in-gap states appearing at their surface. These states exhibit remarkable properties such as unidirectional propagation and robustness to…

Scanning tunneling microscopy can provide a probe for the detailed study of quasiparticle states in high-Tc superconductors. We propose that it can also be used to acquire specific information about impurity-induced quasiparticle states and…

Superconductivity · Physics 2009-10-28 M. I. Salkola , A. V. Balatsky , D. J. Scalapino

Although no known material exhibits intrinsic topological superconductivity, wherein spin-triplet odd-parity electron pairing occurs, UTe2 is now the leading representative of this class. Conventionally, the parity of the superconducting…

The recent discovery of the first Weyl semimetal in TaAs provides the first observation of a Weyl fermion in nature. Such a topological semimetal features a novel type of anomalous surface state, the Fermi arc, which connects a pair of Weyl…

Quasicrystals possess long-range order but lack the translational symmetry of crystalline solids. In solid state physics, periodicity is one of the fundamental properties that prescribes the electronic band structure in crystals. In the…

Mesoscale and Nanoscale Physics · Physics 2017-07-21 Laura C. Collins , Thomas G. Witte , Rochelle Silverman , David B. Green , Kenjiro K. Gomes

Electrons on the surface of a strong topological insulator, such as Bi2Te3 or Bi1-xSnx, form a topologically protected helical liquid whose excitation spectrum contains an odd number of massless Dirac fermions. A theoretical survey and…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 H. -M. Guo , M. Franz

Among different topological and related phases of condensed matter, nodal semimetals occupy a special place - the electronic band topology in these materials is related to three-dimensional bulk, rather than to surface, states. A great…

Mesoscale and Nanoscale Physics · Physics 2021-04-28 A. V. Pronin , M. Dressel

Moir\'e lattices are a general feature of bilayer structures, where an additional periodic superstructure is generated by either lattice mismatch or from a twist angle. They have been shown to stabilise new ground states, including…

Strongly Correlated Electrons · Physics 2025-03-17 Luke C. Rhodes , Dylan C. Houston , Olivia R. Armitage , Peter Wahl

The unrelated discoveries of quasicrystals and topological insulators have in turn challenged prevailing paradigms in condensed-matter physics. We find a surprising connection between quasicrystals and topological phases of matter: (i)…

Mesoscale and Nanoscale Physics · Physics 2012-09-18 Yaacov E. Kraus , Yoav Lahini , Zohar Ringel , Mor Verbin , Oded Zilberberg

Topological insulators have surface states with unique spin-orbit coupling. With impurities on the surface, the quasiparticle interference pattern is an effective way to reveal the topological nature of the surface states, which can be…

Mesoscale and Nanoscale Physics · Physics 2012-04-03 Qin Liu , Xiao-Liang Qi , Shou-Cheng Zhang

Nonequilibrium properties of short-coherence-length s-wave superconductors are analyzed in the presence of extrinsic and intrinsic inhomogeneities. In general, the lowest-energy configurations of quasiparticle excitations are topological…

Superconductivity · Physics 2009-10-31 M. I. Salkola , J. R. Schrieffer

We theoretically investigate quasiparticle interference in superconducting topological insulators with the nematic order parameter. This order parameter spontaneously breaks the rotational symmetry of the crystal. Such rotational symmetry…

Mesoscale and Nanoscale Physics · Physics 2021-06-02 D. A. Khokhlov , R. S. Akzyanov

Exotic quantum phenomena have been demonstrated in recently discovered intrinsic magnetic topological insulator MnBi2Te4. At its two-dimensional limit, quantum anomalous Hall (QAH) effect and axion insulator state are observed in odd and…

Materials Science · Physics 2020-06-24 Yonghao Yuan , Xintong Wang , Hao Li , Jiaheng Li , Yu Ji , Zhenqi Hao , Yang Wu , Ke He , Yayu Wang , Yong Xu , Wenhui Duan , Wei Li , Qi-Kun Xue

Impurities act as in situ probes of nontrivial electronic structure, causing real-space modulations in the density of states detected by scanning tunneling spectroscopy on the sample surface. We show that distinctive topological features of…

Mesoscale and Nanoscale Physics · Physics 2016-01-27 Andrew K. Mitchell , Lars Fritz

Using both two orbital and five orbital models, we investigate the quasiparticle interference (QPI) patterns in the superconducting (SC) state of iron-based superconductors. We compare the results for nonmagnetic and magnetic impurities in…

Superconductivity · Physics 2015-05-13 Yan-Yang Zhang , Chen Fang , Xiaoting Zhou , Kangjun Seo , Wei-Feng Tsai , B. Andrei Bernevig , Jiangping Hu

Quantum materials are driving a technology revolution in sensing, communication, and computing, while simultaneously testing many core theories of the past century. Materials such as topological insulators, complex oxides, quantum dots,…

The modification of electronic band structures and the subsequent tuning of electrical, optical, and thermal material properties is a central theme in the engineering and fundamental understanding of solid-state systems. In this scenario,…

Materials Science · Physics 2022-09-12 Valerio Di Giulio , P. A. D. Gonçalves , F. Javier García de Abajo

Topological insulators and topological superconductors are distinguished by their bulk phase transitions and gapless states at a sharp boundary with the vacuum. Quasicrystals have recently been found to be topologically nontrivial. In…

Mesoscale and Nanoscale Physics · Physics 2013-02-18 Mor Verbin , Oded Zilberberg , Yaacov E. Kraus , Yoav Lahini , Yaron Silberberg

The recent discovery of topological insulators with exotic metallic surface states has garnered great interest in the fields of condensed matter physics and materials science. A number of spectacular quantum phenomena have been predicted…

Materials Science · Physics 2011-01-07 Wanxiang Feng , Jun Ding , Di Xiao , Yugui Yao