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The search for exotic new topological states of matter in widely accessible materials, for which the manufacturing process is mastered, is one of the major challenges of the current topological physics. Here we predict higher order…

Mesoscale and Nanoscale Physics · Physics 2021-10-27 Sergey S. Krishtopenko

A detailed study of the paramagnetic to ferromagnetic phase transition in the one-band Hubbard model in the presence of binary alloy disorder is presented. The influence of the disorder (with concentration $x$ and $1-x$ of the two alloy…

Strongly Correlated Electrons · Physics 2009-11-07 Krzysztof Byczuk , Martin Ulmke , Dieter Vollhardt

We show that the Quantum Spin Hall Effect, a state of matter with topological properties distinct from conventional insulators, can be realized in HgTe/CdTe semiconductor quantum wells. By varying the thickness of the quantum well, the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. Andrei Bernevig , Taylor L. Hughes , Shou-Cheng Zhang

Topological phases of matter are commonly understood as emerging either from crystalline symmetry and intrinsic spin-orbit coupling or from disorder-driven electronic renormalization. In realistic materials, however, structural defects…

Materials Science · Physics 2026-03-19 Emmanuel V. C. Lopes , Felipe Crasto de Lima , Caio Lewenkopf , Adalberto Fazzio

A quantum phase transition is a dramatic event marked by large spatial and temporal fluctuations, where one phase of matter with its ground state and tower of excitations reorganizes into a completely different phase. We provide new insight…

Superconductivity · Physics 2014-04-11 Mason Swanson , Yen Lee Loh , Mohit Randeria , Nandini Trivedi

As an empirical tool in materials science and engineering, the iconic phase diagram owes its robustness and practicality to the topological characteristics rooted in the celebrated Gibbs phase law (F = C - P + 2). When crossing the phase…

We have studied the influence of disorder induced by electron irradiation on the normal state resistivities $\rho(T)$ of optimally and underdoped YBa2CuOx single crystals, using pulsed magnetic fields up to 60T to completely restore the…

Superconductivity · Physics 2008-02-13 F. Rullier-Albenque , H. Alloul , F. Balakirev , C. Proust

We calculate the electronic structure of the narrow gap semiconductors PbTe, SnTe and GeTe in the cubic phase using density functional theory (DFT) and the $G_0W_0$ method. Within DFT, we show that the band ordering obtained with a…

Mesoscale and Nanoscale Physics · Physics 2020-10-21 Pablo Aguado-Puente , Stephen Fahy , Myrta Grüning

We report on a temperature-induced transition from a conventional semiconductor to a two-dimensional topological insulator investigated by means of magnetotransport experiments on HgTe/CdTe quantum well structures. At low temperatures, we…

The search for topological systems has recently broadened to include random substitutional alloys, which lack the specific crystalline symmetries that protect topological phases, raising the question whether topological properties can be…

Materials Science · Physics 2019-07-19 Zhi Wang , Qihang Liu , Alex Zunger

We study the fate of two-dimensional quadratic band crossing topological phases under a one-dimensional quasiperiodic modulation. By employing numerically exact methods, we fully characterize the phase diagram of the model in terms of…

Disordered Systems and Neural Networks · Physics 2024-09-19 Raul Liquito , Miguel Gonçalves , Eduardo V. Castro

The superconductor-insulator transition as a paradigm of quantum phase transitions has attracted tremendous interest over the past three decades. While the magnetic field and carrier density can be tuned to drive the transition, the role of…

Superconductivity · Physics 2026-05-04 Guanyang He , Ziqiao Wang , Longxin Pan , Yuxuan Lei , Fa Wang , Yi Liu , Nandini Trivedi , Jian Wang

We investigate the electronic and transport properties of topological and trivial InAs$_{1-x}$Bi$_x$ quantum dots (QDs). By considering the rapid band gap change within valence band anticrossing theory for InAs$_{1-x}$Bi$_x$, we predicted…

Mesoscale and Nanoscale Physics · Physics 2018-12-26 Denis R. Candido , M. E. Flatté , J. Carlos Egues

The HgTe quantum well (QW) is a well-characterized two-dimensional topological insulator (2D-TI). Its band gap is relatively small (typically on the order of 10 meV), which restricts the observation of purely topological conductance to low…

Materials Science · Physics 2016-08-24 Philipp Leubner , Lukas Lunczer , Christoph Brüne , Hartmut Buhmann , Laurens W. Molenkamp

We numerically study the interplay of band structure, topological invariant and disorder effect in two-dimensional electron system of graphene in a magnetic field. Two \emph{distinct} quantum Hall effect (QHE) regimes exist in the energy…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. N. Sheng , L. Sheng , Z. Y. Weng

A semimagnetic topological insulator -- a heterostructure combining a topological insulator with a ferromagnet -- exhibits a half-quantized Hall effect, characterized by a quantized Hall conductance of $\frac{1}{2}\frac{e^{2}}{h}$ (where…

Disordered Systems and Neural Networks · Physics 2025-10-30 Shi-Hao Bi , Bo Fu , Shun-Qing Shen

We present a general recipe to describe topological phase transitions in condensed matter systems with interactions. We show that topological invariants in the presence of interactions can be efficiently calculated by means of a…

Materials Science · Physics 2025-08-07 S. S. Krishtopenko , A. V. Ikonnikov , F. Hartmann , S. Höfling , B. Jouault , F. Teppe

We investigate possible nontrivial phases of a two-subband quantum wire. It is found that inter- and intra-subband interactions may drive the electron system of the wire into a gapped state. If the nominal electron densities in the two…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 O. A. Starykh , D. L. Maslov , W. Häusler , L. I. Glazman

By the example of Heisenberg $d$-dimensional disordered non-frustrated antiferromagnets, we discuss quantum transitions at $d\ge2$ from magnetically ordered (superfluid) to various disorder-induced insulating phases (Bose-glass, Mott-glass,…

Strongly Correlated Electrons · Physics 2023-02-27 A. V. Syromyatnikov , F. D. Timkovskii

We calculate the conductance of a two-dimensional bilayer with inverted electron-hole bands, to study the sensitivity of the quantum spin Hall insulator (with helical edge conduction) to the combination of electrostatic disorder and a…

Mesoscale and Nanoscale Physics · Physics 2014-05-01 D. I. Pikulin , T. Hyart , Shuo Mi , J. Tworzydło , M. Wimmer , C. W. J. Beenakker