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Our report paves the way for insight into a structural disorder and its impact on the physical properties of strongly correlated electron systems (SCESs). In a critical regime, each perturbation, e.g., disorder due to structural defects or…

Strongly Correlated Electrons · Physics 2025-06-06 Andrzej Ślebarski , Maciej M. Maśka

In this paper, we review theoretical and experimental research on rare region effects at quantum phase transitions in disordered itinerant electron systems. After summarizing a few basic concepts about phase transitions in the presence of…

Strongly Correlated Electrons · Physics 2010-09-28 Thomas Vojta

We employ scaling arguments and optimal fluctuation theory to establish a general relation between quantum Griffiths singularities and the Harris criterion for quantum phase transitions in disordered systems. If a clean critical point…

Disordered Systems and Neural Networks · Physics 2014-02-25 Thomas Vojta , José A. Hoyos

The interplay between quenched disorder and critical behavior in quantum phase transitions is conceptually fascinating and of fundamental importance for understanding phase transitions. However, it is still unclear whether or not the…

We isolated flux disorder effects on the transport at the critical point of the quantum magnetic field tuned Superconductor to Insulator transition (BSIT). The experiments employed films patterned into geometrically disordered hexagonal…

Superconductivity · Physics 2015-10-16 H. Q. Nguyen , S. M. Hollen , J. Shainline , J. M. Xu , J. M. Valles

Two dimensional disordered superconductors with broken spin-rotation and time-reversal invariance, e.g. with p_x+ip_y pairing, can exhibit plateaus in the thermal Hall coefficient (the thermal quantum Hall effect). Our numerical simulations…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. Mildenberger , F. Evers , R. Narayanan , A. D. Mirlin , K. Damle

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

When subject to a pair-breaking perturbation, the pairing susceptibility of a disordered superconductor exhibits substantial long-ranged mesoscopic fluctuations. Focusing on a thin film subject to a parallel magnetic field, it is proposed…

Superconductivity · Physics 2015-06-24 A. Lamacraft , F. M. Marchetti , J. S. Meyer , R. S. Moir , B. D. Simons

The nature of the magnetic-field driven superconductor-to-insulator quantum-phase transition in two-dimensional systems at zero temperature has been under debate since the 1980s, and became even more controversial after the observation of a…

The antiferromagnetic Ising chain in both transverse and longitudinal magnetic fields is one of the paradigmatic models of a quantum phase transition. The antiferromagnetic system exhibits a zero-temperature critical line separating an…

Disordered Systems and Neural Networks · Physics 2017-08-30 Yu-Ping Lin , Ying-Jer Kao , Pochung Chen , Yu-Cheng Lin

Quantum Griffiths singularity is characterized by the divergence of the dynamical critical exponent with the activated scaling law and has been widely observed in various two-dimensional superconductors. Recently, the direct activated…

Superconductivity · Physics 2023-07-05 Zihan Cui , Longxin Pan , Jingchao Fang , Shichao Qi , Ying Xing , Haiwen Liu , Yi Liu , Jian Wang

The interplay between electron-electron interactions and weak localization (or anti-localization) phenomena in two-dimensional systems can significantly enhance the superconducting transition temperature. We develop the theory of quantum…

Superconductivity · Physics 2024-11-01 E. S. Andriyakhina , P. A. Nosov , S. Raghu , I. S. Burmistrov

We investigate transition to the superconducting state in the ultrathin titanium nitride films on approach to superconductor-insulator transition. Building on the complete account of quantum contributions to conductivity, we demonstrate…

Superconductivity · Physics 2012-02-07 T. I. Baturina , S. V. Postolova , A. Yu. Mironov , A. Glatz , M. R. Baklanov , V. M. Vinokur

This article reviews the unconventional effects of random disorder on magnetic quantum phase transitions, focusing on a number of new experimental and theoretical developments during the last three years. On the theory side, we address…

Strongly Correlated Electrons · Physics 2014-08-26 Thomas Vojta

Weakly disordered two-dimensional (2D) superconductors can host richer quantum phase transitions than their highly-disordered counterparts. This is due to the insertion of a metallic state in the transition between a superconductor and an…

Superconductivity · Physics 2021-04-12 Puhua Wan , Qihong Chen , Oleksandr Zheliuk , Le Zhang , Minpeng Liang , Xiaoli Peng , Jianting Ye

The superconductor to insulator or metal transition in two dimensions (2D) provides a valuable platform for studying continuous quantum phase transitions (QPTs) and critical phenomena. Distinct theoretical models, including both fermionic…

We develop a theory of quantum $T = 0$ phase transition (q-SMT) between metal and superconducting ground states in a two-dimensional metal with frozen-in spatial fluctuations $\delta\lambda(r)$ of the Cooper attraction constant. When…

Superconductivity · Physics 2020-06-24 Konstantin Tikhonov , Mikhail Feigel'man

Occurrence of the Berezinskii-Kosterlitz-Thouless (BKT) transition is investigated by superfluid density measurements for two-dimensional (2D) disordered NbN films with disorder level very close to a superconductor-insulator transition…

Superconductivity · Physics 2013-05-16 Jie Yong , T. Lemberger , L. Benfatto , K. Ilin , M. Siegel

Phase transitions in condensed matter are often linked to exotic emergent properties. We study the fully frustrated bilayer Heisenberg antiferromagnet to demonstrate that an applied magnetic field creates a novel emergent criticality. The…

Strongly Correlated Electrons · Physics 2024-08-01 Yuchen Fan , Ning Xi , Changle Liu , Bruce Normand , Rong Yu

The quaternary Heusler compound NiFeTiSn can be considered to be derived from the exotic pseudogap-compound Fe2TiSn by the replacement of one Fe atom by Ni. In contrast to Fe2TiSn, which shows a disorder-induced ferromagnetic phase, the…

Strongly Correlated Electrons · Physics 2022-06-08 Snehashish Chatterjee , Saurav Giri , Subham Majumdar , Prabir Dutta , Pintu Singha , Aritra Banerjee