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We investigate disorder-driven topological phase transitions in quantized electric quadrupole insulators. We show that chiral symmetry can protect the quantization of the quadrupole moment $q_{xy}$, such that the higher-order topological…

Mesoscale and Nanoscale Physics · Physics 2020-10-21 Chang-An Li , Bo Fu , Zi-Ang Hu , Jian Li , Shun-Qing Shen

Two-dimensional (2D) topological insulators (TIs) hold promise for applications in spintronics based on the fact that the propagation direction of edge electrons of a 2D TI is robustly linked to their spin origination. Here, with the use of…

Materials Science · Physics 2015-09-02 Yandong Ma , Liangzhi Kou , Ying Dai , Thomas Heine

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…

We have found the first instance of a third-order topological Anderson insulator (TOTAI). This disorder-induced topological phase is gapped and characterized by a quantized octupole moment and topologically protected corner states, as…

Disordered Systems and Neural Networks · Physics 2024-09-19 Hugo Lóio , Miguel Gonçalves , Pedro Ribeiro , Eduardo V. Castro

Self-consistent theory of electron localization in disordered systems is generalized for the case of interacting electrons. We propose and critically compare a number of possible self-consistency schemes which take into account the lowest…

Condensed Matter · Physics 2008-02-03 E. Z. Kuchinskii , M. V. Sadovskii , V. G. Suvorov

We study the disorder effect on the transport properties in the HgTe/CdTe semiconductor quantum wells. We confirm that at a moderate disorder strength, the initially un-quantized two terminal conductance becomes quantized, and the system…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Hua Jiang , Lei Wang , Qing-feng Sun , X. C. Xie

We use a three dimensional stacked triangular network of Josephson junctions as a model for the study of vortex structure in the mixed state of high Tc superconductors. We show that the addition of disorder destroys the first order melting…

Condensed Matter · Physics 2009-10-28 E. A. Jagla , C. A. Balseiro

Three-dimensional topological insulators (3D-TIs) possess a specific topological order of electronic bands, resulting in gapless surface states via bulk-edge correspondence. Exotic phenomena have been realized in ferromagnetic TIs, such as…

Materials Science · Physics 2020-04-29 Y. Satake , J. Shiogai , G. P. Mazur , S. Kimura , S. Awaji , K. Fujiwara , T. Nojima , K. Nomura , S. Souma , T. Sato , T. Dietl , A. Tsukazaki

The phase transition in the q-state Potts model with homogeneous ferromagnetic couplings is strongly first order for large q, while is rounded in the presence of quenched disorder. Here we study this phenomenon on different two-dimensional…

Disordered Systems and Neural Networks · Physics 2007-05-23 M. T. Mercaldo , J-Ch. Anglès d'Auriac , F. Iglói

In the long-range Su-Schriffer-Heeger (SSH) model, in which the next nearest-neighbor hopping is considered, there exhibits a rich topological phase diagram that contains winding numbers $w=0, 1$, and $2$. In the presence of disorder, the…

Mesoscale and Nanoscale Physics · Physics 2020-12-11 Hsu-Chuan Hsu , Tsung-Wei Chen

We study multilayer topological insulators with random interlayer tunneling, known as off-diagonal disorder. Within the Burkov-Balents model a single Hermitian defect creates a bound state whose energy crosses the middle of the gap in the…

Mesoscale and Nanoscale Physics · Physics 2025-08-01 Z. Z. Alisultanov , A. Kudlis

Disorder induced melting, where the increase in positional entropy created by random pinning sites drives the order-disorder transition in a periodic solid, provides an alternate route to the more conventional thermal melting. Here, using…

We calculate supercurrent across a two-dimensional topological insulator subjected to an external magnetic field. When the edge states of a narrow two-dimensional topological insulator are hybridized, an external magnetic field can close…

Mesoscale and Nanoscale Physics · Physics 2015-11-18 Alexander Zyuzin , Mohammad Alidoust , Jelena Klinovaja , Daniel Loss

We investigate the statistical properties of the scattering matrix $S$ describing the electron transport through quasi-one dimensional disordered systems. For weak disorder (metallic regime), the energy dependence of the phase shifts of $S$…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 E. R. Mucciolo , R. A. Jalabert , J. -L. Pichard

We theoretically investigate a tight binding model of fermions hopping on the square-octagon lattice which consists of a square lattice with plaquette corners themselves decorated by squares. Upon the inclusion of second neighbor spin-orbit…

Strongly Correlated Electrons · Physics 2014-11-21 Mehdi Kargarian , Gregory A. Fiete

We propose to engineer time-reversal-invariant topological insulators in two-dimensional (2D) crystals of transition metal dichalcogenides (TMDCs). We note that, at low doping, semiconducting TMDCs under shear strain will develop…

Mesoscale and Nanoscale Physics · Physics 2014-08-13 M. A. Cazalilla , H. Ochoa , F. Guinea

We investigate electronic transport across a magnetic domain wall (DW) in a three-dimensional (3D) second-order topological insulator subject to Anderson disorder. In the clean limit, the DW hosts two co-propagating one-dimensional (1D)…

Mesoscale and Nanoscale Physics · Physics 2026-04-24 Dong Zhou , Zhe Hou

Metal-insulator transitions driven by disorder (Delta) and/or by electron correlations (U) are investigated within the Anderson-Hubbard model with local binary-alloy disorder using a simple but consistent mean-field approach. The Delta-U…

Strongly Correlated Electrons · Physics 2009-11-10 Matthias Balzer , Michael Potthoff

We discuss a metal-insulator transition caused by random couplings of magnetic moments in itinerant systems. An analytic solution for the single particle Green function is derived from dynamical self consistency equations, the corresponding…

Strongly Correlated Electrons · Physics 2007-05-23 B. Rosenow , R. Oppermann

Topological defects with symmetry-breaking phase transitions have captured much attention. Vortex generated by topological defects exhibits exotic properties and its flow direction can be switched by altering the spin configurations.…

Classical Physics · Physics 2018-07-18 Jiujiu Chen , Hongbo Huang , Shaoyong Huo , Zhuhua Tan , Xiaoping Xie , Jianchun Cheng