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It is widely believed that many-body localisation in one dimension is fragile and can be easily destroyed by thermal inclusions, however there are still many open questions regarding the stability of the localised phase and under what…

Disordered Systems and Neural Networks · Physics 2023-03-30 S. J. Thomson

We study a 1D system with a power-law quasiparticle dispersion $\propto |k|^\alpha\sign k$ in the presence of a short-range-correlated random potential and demonstrate that for $\alpha<1/2$ it exhibits a disorder-driven quantum phase…

Mesoscale and Nanoscale Physics · Physics 2015-08-19 M. Garttner , S. V. Syzranov , A. M. Rey , V. Gurarie , L. Radzihovsky

Quantum phase transitions arise in many-body systems due to competing interactions that promote rivaling ground states. Recent years have seen the identification of continuous quantum phase transitions, or quantum critical points, in a host…

Strongly Correlated Electrons · Physics 2011-02-25 Qimiao Si , Frank Steglich

We develop an efficient numerical method to study the quantum critical behavior of disordered systems with $\mathcal{O}(N)$ order-parameter symmetry in the large$-N$ limit. It is based on the iterative solution of the large$-N$ saddle-point…

Statistical Mechanics · Physics 2015-06-15 David Nozadze , Thomas Vojta

Quantum phase transitions occur at zero temperature when some non-thermal control-parameter like pressure or chemical composition is changed. They are driven by quantum rather than thermal fluctuations. In this review we first give a…

Statistical Mechanics · Physics 2017-09-27 Thomas Vojta

An eight-potential-well order-disorder ferroelectric model was presented and the phase transition was studied under the mean-field approximation. It was shown that the two-body interactions are able to account for the first-order and the…

Materials Science · Physics 2009-10-31 Zhi-Rong Liu , Bing-Lin Gu , Xiao-Wen Zhang

Here we have simulated effect of quenched type random-bond disorder during the XY transition.Here we have studied the spontaneous magnetization(M),heat-capacity(Cv) with T.Here we notice a spontaneous symmetry breaking and observe quasi…

Disordered Systems and Neural Networks · Physics 2023-10-17 Nepal Banerjee

We present results of numerical studies of spin quantum Hall transitions in disordered superconductors, in which the pairing order parameter breaks time-reversal symmetry. We focus mainly on p-wave superconductors in which one of the spin…

Superconductivity · Physics 2009-11-10 Qinghong Cui , Xin Wan , Kun Yang

Relaxor ferroelectrics are complex oxide materials which are rather unique to study the effects of compositional disorder on phase transitions. Here, we study the effects of quenched cubic random electric fields on the lattice instabilities…

Materials Science · Physics 2017-06-14 J. R. Arce-Gamboa , G. G. Guzmán-Verri

We study quantum phase coherence and weak localization (WL) in disordered metals with restricted back-scattering and phenomenologically formulate a large class of unconventional transport mechanisms as modified diffusion processes not…

Disordered Systems and Neural Networks · Physics 2010-08-06 Shimul Akhanjee

Both quantum phase transitions and thermodynamic phase transitions are probably induced by fluctuations, yet the specific mechanism through which fluctuations cause phase transitions remains unclear in existing theories. This paper…

Statistical Mechanics · Physics 2025-05-13 Yonglong Ding

Recent years have witnessed the emergence of spin supersolids in frustrated quantum magnets, establishing a material-based platform for supersolidity beyond its original context in solid helium. A spin supersolid is characterized by the…

Strongly Correlated Electrons · Physics 2026-05-26 Yixuan Huang , Seiji Yunoki , Sadamichi Maekawa

This review discusses instabilities of the Fermi-liquid state of conduction electrons in metals with particular emphasis on magnetic quantum critical points. Both the existing theoretical concepts and experimental data on selected materials…

Strongly Correlated Electrons · Physics 2007-08-28 Hilbert v. Löhneysen , Achim Rosch , Matthias Vojta , Peter Wölfle

Magnetic and electric properties of the Hubbard model with binary alloy disorder are studied within the dynamical mean--field theory. A paramagnet--ferromagnet phase transition and a Mott--Hubbard metal--insulator transition are observed…

Strongly Correlated Electrons · Physics 2009-11-10 Krzysztof Byczuk , Martin Ulmke

We investigate a quantum Heisenberg model with both antiferromagnetic and disordered nearest-neighbor couplings. We use an extended dynamical mean-field approach, which reduces the lattice problem to a self-consistent local impurity problem…

Disordered Systems and Neural Networks · Physics 2009-11-13 S. Burdin , D. R. Grempel , M. Grilli

We discuss the phenomenology of phase transitions studied with two control variables. Such measurements have become routine with magnetic field and temperature being varied for 1st order magnetic transitions with an ease not conceivable…

Materials Science · Physics 2014-03-26 P Chaddah

We report magnetization ($M$) measurements close to the ferromagnetic quantum phase transition of the d-metal alloy Ni$_{1-x}$V$_x$ at a vanadium concentration of $x_c \approx 11.4 %$. In the diluted regime ($x>x_c$), the temperature ($T$)…

Strongly Correlated Electrons · Physics 2011-02-18 Almut Schroeder , Sara Ubaid-Kassis , Thomas Vojta

Motivated by two different types of disorder that occur in quantum systems with ubiquity, namely, the random and the quasiperiodic (QP) disorder, we have performed a systematic comparison of the emerging phase properties corresponding to…

Disordered Systems and Neural Networks · Physics 2022-12-28 Sk Noor Nabi , Shilpi Roy , Saurabh Basu

A one-dimensional quantum system with off diagonal disorder, consisting of a sample of conducting regions randomly interspersed within potential barriers is considered. Results mainly concerning the large $N$ limit are presented. In…

Disordered Systems and Neural Networks · Physics 2017-12-06 Tommaso Vanzan , Lamberto Rondoni

The influence of uncorrelated, quenched disorder on the phase transition of two dimensional Potts models will be reviewed. After an introduction where the conditions of relevance of quenched randomness on phase transitions are exemplified…

Disordered Systems and Neural Networks · Physics 2007-05-23 Bertrand Berche , Christophe Chatelain