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We investigate the interplay of disorder and interaction in two-dimensional electron systems in a strong magnetic field, focusing on the transition between Wigner crystals and fractional quantum Hall liquids. We first study classical Wigner…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Ke Huang , Sankar Das Sarma , Xiao Li

We calculate the tunneling density-of-states (DOS) of a disorder-free two-dimensional interacting electron system with a massless-Dirac band Hamiltonian. The DOS exhibits two main features: i) linear growth at large energies with a slope…

Mesoscale and Nanoscale Physics · Physics 2012-07-10 A. Principi , Marco Polini , Reza Asgari , A. H. MacDonald

We implement the effects of disorder on a holographic superconductor by introducing a random chemical potential on the boundary. We demonstrate explicitly that increasing disorder leads to the formation of islands where the superconducting…

High Energy Physics - Theory · Physics 2016-11-15 Daniel Arean , Leopoldo A. Pando Zayas , Ignacio Salazar Landea , Antonello Scardicchio

The Landau--Zener (LZ) model describes a two-level quantum system that undergoes an avoided crossing. In the adiabatic limit, the transition probability vanishes. An auxiliary control field $H_\text{CD}$ can be reverse-engineered so that…

Quantum Physics · Physics 2026-01-16 Georgios Theologou , Mikkel F. Andersen , Sandro Wimberger

A tunnel junction between helical edge states, realized via a constriction in a Quantum Spin Hall system, can be exploited to steer both charge and spin current into various terminals. We investigate the effects of disorder on the…

Mesoscale and Nanoscale Physics · Physics 2014-09-23 Pietro Sternativo , Fabrizio Dolcini

By using two ab initio numerical methods we study the effects that disorder has on the spectral gaps and on wave localization in two-dimensional photonic band gap materials. We find that there are basically two different responses depending…

Disordered Systems and Neural Networks · Physics 2009-10-31 E. Lidorikis , M. M. Sigalas , C. M. Soukoulis , E. N. Economou

Overcoming the detrimental effect of disorder at the nanoscale is very hard since disorder induces localization and an exponential suppression of transport efficiency. Here we unveil novel and robust quantum transport regimes achievable in…

We study disorder induced topological phase transitions in magnetically doped (Bi, Sb)$_2$Te$_3$ thin films, by using large scale transport simulations of the conductance through a disordered region coupled to reservoirs in the quantum spin…

Mesoscale and Nanoscale Physics · Physics 2020-11-24 Takuya Okugawa , Peizhe Tang , Angel Rubio , Dante M. Kennes

A 3D layered system of charges with logarithmic interaction parallel to the layers and random dipoles is studied via a novel variational method and an energy rationale which reproduce the known phase diagram for a single layer. Increasing…

Condensed Matter · Physics 2016-08-31 Baruch Horovitz , Pierre Le Doussal

We have reexamined the problem of disorder in two-band superconductors, and shown within the framework of the T-matrix approximation, that the suppression of T_c can be described by a single parameter depending on the intraband and…

Superconductivity · Physics 2015-03-19 D. V. Efremov , M. M. Korshunov , O. V. Dolgov , A. A. Golubov , P. J. Hirschfeld

Phase transitions in disordered systems can be smeared if rare spatial regions develop true static order while the bulk system is in the disordered phase. Here, we study the effects of spatial disorder correlations on such smeared phase…

Strongly Correlated Electrons · Physics 2015-06-12 David Nozadze , Christopher Svoboda , Fawaz Hrahsheh , Thomas Vojta

The quantum phase transition between the three dimensional Dirac semimetal and the diffusive metal can be induced by increasing disorder. Taking the system of disordered $\mathbb{Z}_2$ topological insulator as an important example, we…

Mesoscale and Nanoscale Physics · Physics 2014-01-10 Koji Kobayashi , Tomi Ohtsuki , Ken-Ichiro Imura , Igor F. Herbut

We re-examine the band structure of the stripe charge ordered state of $\alpha$-(BEDT-TTF)$_2$I$_3$ under pressure by using an extended Hubbard model within the Hartree mean-field theory. By increasing pressure, we find a topological…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 A. Kobayashi , Y. Suzumura , F. Piéchon , G. Montambaux

We study the disorder dependence of the phase coherence time of quasi one-dimensional wires and two-dimensional (2D) Hall bars fabricated from a high mobility GaAs/AlGaAs heterostructure. Using an original ion implantation technique, we can…

We study the transition from ballistic to diffusive and localized transport in graphene nanoribbons in the presence of binary disorder, which can be generated by chemical adsorbates or substitutional doping. We show that the interplay…

Mesoscale and Nanoscale Physics · Physics 2009-06-18 Petra Dietl , Georgo Metalidis , Dmitri Golubev , Pablo San-Jose , Elsa Prada , Henning Schomerus , Gerd Schön

Recent systematic measurements of the quantum well width dependence of the excitation gaps of fractional quantum Hall states in high mobility samples [Villegas Rosales {\it et al.}, Phys. Rev. Lett. {\bf 127}, 056801 (2021)] open the…

Strongly Correlated Electrons · Physics 2022-06-01 Tongzhou Zhao , Koji Kudo , W. N. Faugno , Ajit C. Balram , J. K. Jain

We investigate the effects of disorder on driven lattice gases with open boundaries using the totally asymmetric simple exclusion process as a paradigmatic example. Disorder is realized by randomly distributed defect sites with reduced…

Statistical Mechanics · Physics 2009-11-13 Philip Greulich , Andreas Schadschneider

We have studied a two dimensional lattice model of Coulomb glass for a wide range of disorders at $T\sim 0$. The system was first annealed using Monte Carlo simulation. Further minimization of the total energy of the system was done using…

Disordered Systems and Neural Networks · Physics 2017-12-06 Preeti Bhandari , Vikas Malik

We study the effect of disorder on the particle density evolution in a classical Hamiltonian driven lattice setup. If the disorder is localized within a finite sub-domain of the lattice, the emergence of strong tails in the density…

Chaotic Dynamics · Physics 2016-09-21 Thomas Wulf , Alexander Okupnik , Peter Schmelcher

We study the emergence of strongly correlated states and Kondo physics in disordered graphene. Diluted short range disorder gives rise to localized midgap states at the vicinity of the system charge neutrality point. We show that long-range…

Mesoscale and Nanoscale Physics · Physics 2014-11-20 Vladimir G. Miranda , Luis G. G. V. Dias da Silva , Caio H. Lewenkopf
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