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Photonic topological edge states in one-dimensional dimer chains have long been thought to be robust to structural perturbations by mapping the topological Su-Schrieffer-Heeger model of a solid-state system. However, the edge states at the…

Applied Physics · Physics 2020-07-10 Zhiwei Guo , Tengzhou Zhang , Juan Song , Haitao Jiang , Hong Chen

The interrelationship between localization, quantum transport, and disorder has remained a fascinating focus in scientific research. Traditionally, it has been widely accepted in the physics community that in one-dimensional systems, as…

Disordered Systems and Neural Networks · Physics 2025-01-13 Ze-Sheng Xu , Jun Gao , Adrian Iovan , Ivan M. Khaymovich , Val Zwiller , Ali W. Elshaari

Semiconductivity and superconductivity are remarkable quantum phenomena that have immense impact on science and technology, and materials that can be tuned, usually by pressure or doping, to host both types of quantum states are of great…

Materials Science · Physics 2021-10-27 Chang Liu , Xianqi Song , Quan Li , Yanming Ma , Changfeng Chen

We develop an analytical theory for generic disorder-driven quantum phase transitions. We apply this formalism to the superconductor-insulator transition and we briefly discuss the applications to the order-disorder transition in quantum…

Superconductivity · Physics 2013-05-29 M. V. Feigel'man , L. B. Ioffe , M. Mézard

The effect of substitution atoms on the energy spectrum and the electrical conductivity of graphene was investigated in a Lifshitz one-electron tight-binding model. It is established that the ordering of impurity atoms results in a gap in…

Strongly Correlated Electrons · Physics 2020-03-05 S. P. Repetsky , I. G. Vyshyvana , S. P. Kruchinin , R. M. Melnyk , A. P. Polishchuk

We report experimental studies of disorder-induced transitions between quantum-Hall, metallic, and insulating states in a very dilute two-dimensional electron system in silicon at a magnetic field corresponding to Landau level filling…

Condensed Matter · Physics 2009-10-28 J. E. Furneaux , S. V. Kravchenko , Whitney Mason , G. E. Bowker , V. M. Pudalov

We consider a problem of superconductivity coexistence with the spin-density-wave order in disordered multiband metals. It is assumed that random variations of the disorder potential on short length scales render the interactions between…

Superconductivity · Physics 2021-07-28 Maxim Dzero , Alex Levchenko

It is well known that for ordinary one-dimensional (1D) disordered systems, the Anderson localization length $\xi$ diverges as $\lambda^m$ in the long wavelength limit ($\lambda\rightarrow \infty$ ) with a universal exponent $m=2$,…

Disordered Systems and Neural Networks · Physics 2019-04-22 A. Fang , Z. Q. Zhang , Steven G. Louie , C. T. Chan

Superconductivity (SC) may microscopically coexist with density wave (DW) when the nesting of the Fermi surface (FS) is not perfect. There are, at least, two possible microscopic structures of a DW state with quasi-particle states remaining…

Superconductivity · Physics 2008-11-27 P. D. Grigoriev

We study an electron distribution under a quasiperiodic potential in light of hyperuniformity, aiming to establish a classification and analysis method for aperiodic but orderly density distributions realized in, e.g., quasicrystals. Using…

Strongly Correlated Electrons · Physics 2022-10-06 Shiro Sakai , Ryotaro Arita , Tomi Ohtsuki

We investigate the single normal impurity effect in a superconductor by the holographic method. When the size of impurity is much smaller than the host superconductor, we can reproduce the Anderson theorem, which states that a conventional…

High Energy Physics - Theory · Physics 2015-12-09 Hua Bi Zeng , Hai-Qing Zhang

A conducting 1D chain or 2D film inside (or on the surface of) an insulator is considered. Impurities displace the charges inside the insulator. This results in a long-range fluctuating electric field acting on the conducting line (plane).…

Condensed Matter · Physics 2009-10-31 V. V. Flambaum , V. V. Sokolov

The pursuit of understanding parity anomaly in condensed matter systems has led to significant advancements in both theoretical and experimental research in recent years. In this study, we explore the parity anomaly of massless Dirac…

Mesoscale and Nanoscale Physics · Physics 2024-03-14 Huan-Wen Wang , Bo Fu , Shun-Qing Shen

We study the superconducting instability of a two-dimensional disordered Fermi liquid weakly coupled to the soft fluctuations associated with proximity to an Ising-ferromagnetic quantum critical point. We derive interaction-induced…

Strongly Correlated Electrons · Physics 2023-04-25 P. A. Nosov , I. S. Burmistrov , S. Raghu

The interrelation between disorder and interactions in two dimensional electron liquid is studied beyond weak coupling perturbation theory. Strong repulsion significantly reduces the electronic density of states on the Fermi level. This…

Disordered Systems and Neural Networks · Physics 2007-05-23 B. Rosenstein , Tran Minh-Tien

Infrared reflectivity measurements on 122 iron-pnictides reveal the existence of two electronic subsystems. The one gapped due to the spin-density-wave transition in the parent materials, such as EuFe$_2$As$_{2}$, is responsible for…

Superconductivity · Physics 2010-03-31 D. Wu , N. Barisic , P. Kallina , A. Faridian , B. Gorshunov , N. Drichko , L. J. Li , X. Lin , G. H. Cao , Z. A. Xu , N. L. Wang , M. Dressel

The conductance of disordered wires with symplectic symmetry is studied by a random-matrix approach. It has been believed that Anderson localization inevitably arises in ordinary disordered wires. A counterexample is recently found in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Hiroshi Sakai , Yositake Takane

We present a unified, global perspective on the magnetic properties of strongly disordered electronic systems, with special emphasis on the case where the ground state is metallic. We review the arguments for the instability of the…

Strongly Correlated Electrons · Physics 2009-10-30 Subir Sachdev

Topological insulator lie at the forefront of condensed matter physics. However strong disorder can destroy the topological states and make all states become localized. In this paper, we investigate the competition between topology and…

Mesoscale and Nanoscale Physics · Physics 2023-05-05 Xin Guan , Gang Chen

A fermionic disordered one dimensional wire in the presence of attractive interactions is known to have two distinct phases: A localized and a superconducting one depending on the strength of interaction and disorder. The localized region…

Mesoscale and Nanoscale Physics · Physics 2015-11-18 Richard Berkovits