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We consider the many-body localization-delocalization transition for strongly interacting one- dimensional disordered bosons and construct the full picture of finite temperature behavior of this system. This picture shows two…

Disordered Systems and Neural Networks · Physics 2016-09-21 V. P. Michal , I. L. Aleiner , B. L. Altshuler , G. V. Shlyapnikov

We study two-dimensional $s$-wave topological superconductivity with Rashba spin-orbit coupling and Zeeman field in Penrose and Ammann-Beenker quasicrystals. By solving the Bogoliubov-de Gennes equations self-consistently for not only the…

Superconductivity · Physics 2025-02-04 Masahiro Hori , Takanori Sugimoto , Takami Tohyama , K. Tanaka

Inspired by the avalanche scenario for many-body localization (MBL) instability, we reverse the conventional set-up and ask whether a large weakly-disordered chain can thermalize a smaller, strongly-disordered chain when the composite…

Statistical Mechanics · Physics 2026-01-21 Soumya Kanti Pal , C L Sriram , Shamik Gupta

A set of stacked two-dimensional electron systems in a perpendicular magnetic field exhibits a three-dimensional version of the quantum Hall effect if interlayer tunneling is not too strong. When such a sample is in a quantum Hall plateau,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. W. Tomlinson , J. -S. Caux , J. T. Chalker

At $T_N\simeq 305~\text{K}$ the layered insulator BaCoS$_2$ transitions to a columnar antiferromagnet that signals non-negligible magnetic frustration despite the relatively high $T_N$, all the more surprising given its quasi…

Strongly Correlated Electrons · Physics 2023-02-24 Benjamin Lenz , Michele Fabrizio , Michele Casula

We find that the statistics of levels undergoing metal-insulator transition in systems with multi-parametric Gaussian disorders and non-interacting electrons behaves in a way similar to that of the single parametric Brownian ensembles…

Statistical Mechanics · Physics 2009-11-10 Pragya Shukla

Using a combination of the mean-field Bogoliubov deGennes (BdG) approach and the Density Matrix Renormalization Group (DMRG) method, we discover first order topological transitions between topological superconducting and trivial insulating…

Strongly Correlated Electrons · Physics 2023-03-29 Shruti Agarwal , Shreekant Gawande , Satoshi Nishimoto , Jeroen van den Brink , Sanjeev Kumar

We consider excitation of Higgs modes via the modulation of the BCS coupling within the Migdal-Eliashberg-Keldysh theory of time-dependent superconductivity. Despite the presence of phonons, which break integrability, we observe Higgs…

Superconductivity · Physics 2025-01-15 Andrey Grankin , Victor Galitski , Vadim Oganesyan

We study the influence of disorder on the topological transition from a two-dimensional Dirac semi-metal to an insulating state. This transition is described as a continuous merging of two Dirac points leading to a semi-Dirac spectrum at…

Mesoscale and Nanoscale Physics · Physics 2013-07-26 David Carpentier , Andrei A. Fedorenko , Edmond Orignac

We demonstrate that by considering disordered single-particle Hamiltonians (or their random matrix versions) on ultrametric spaces one can generate an interesting class of models exhibiting Anderson metal-insulator transition. We use the…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Y. V. Fyodorov , A. Ossipov , A. Rodriguez

In an ultrathin topological insulator (TI) film, a hybridization gap opens in the TI surface states, and the system is expected to become either a trivial insulator or a quantum spin Hall insulator when the chemical potential is within the…

Mesoscale and Nanoscale Physics · Physics 2018-12-26 D. Nandi , B. Skinner , G. H. Lee , K. -F. Huang , K. Shain , Cui-Zu Chang , Y. Ou , S. -P. Lee , J. Ward , J. S. Moodera , P. Kim , B. I. Halperin , A. Yacoby

The influence of disorder, both structural (non-diagonal) and on-site (diagonal), is studied through the inhomogeneous Bogoliubov-de Gennes (BdG) theory in narrow-band disordered superconductors with a view towards understanding…

Superconductivity · Physics 2024-10-04 R. McIntosh , N. Mohanta , A. Taraphder , S. Bhattacharyya

The axion insulator is a higher-order topological insulator protected by inversion symmetry. We show that under quenched disorder respecting inversion symmetry {\it on average}, the topology of the axion insulator stays robust, and an…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 Zhi-Da Song , Biao Lian , Raquel Queiroz , Roni Ilan , B. Andrei Bernevig , Ady Stern

We investigate the critical behavior and the dynamics of the amplitude (Higgs) mode close to the superfluid-insulator quantum phase transition in an amorphous system (i.e., a system subject to topological randomness). In particular, we map…

Disordered Systems and Neural Networks · Physics 2024-10-11 Vishnu Pulloor Kuttanikkad , Martin Puschmann , Rajesh Narayanan , Thomas Vojta

We analyze the transformation from insulator to metal induced by thermal fluctuations within the Falicov-Kimball model. Using the Dynamic Mean Field Theory (DMFT) formalism on the Bethe lattice we find rigorously the temperature dependent…

Strongly Correlated Electrons · Physics 2015-06-17 Romuald Lemański , Klaus Ziegler

We report results of large-scale Monte Carlo simulations of superfluid--insulator transitions in commensurate 2D bosonic systems. In the case of off-diagonal disorder (quantum percolation), we find that the transition is to a gapless…

Condensed Matter · Physics 2009-11-10 Nikolay Prokof'ev , Boris Svistunov

We study the effect of random offset charges in the insulator to conductor transition in systems of capacitively coupled grains, as realized in two-dimensional arrays of ultrasmall Josephson junctions. In presence of disorder, the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Enzo Granato , J. M. Kosterlitz

We explore the implications of Berezinskii-Kosterlitz-Thouless (BKT) critical behavior and variable-range hopping on the two dimensional (2D) quantum superconductor-insulator (QSI) transition driven by tuning the gate voltage. To illustrate…

Superconductivity · Physics 2013-05-07 T. Schneider , S. Weyeneth

Motivated by recent experimental data on thin film superconductors and oxide interfaces we propose a random-resistor network apt to describe the occurrence of a metal-superconductor transition in a two-dimensional electron system with…

Superconductivity · Physics 2012-05-03 D. Bucheli , S. Caprara , C. Castellani , M. Grilli

A recent theory described strange metal behavior in a model of a Fermi surface coupled a two-dimensional quantum critical bosonic field with a spatially random Yukawa coupling. With the assumption of self-averaging randomness, similar to…

Strongly Correlated Electrons · Physics 2024-04-01 Aavishkar A. Patel , Peter Lunts , Subir Sachdev