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We expose the theoretical mechanisms underlying disorder-induced nematicity in systems exhibiting strong fluctuations or ordering in the nematic channel. Our analysis consists of a symmetry-based Ginzburg-Landau approach and associated…

Superconductivity · Physics 2019-08-23 Daniel Steffensen , Panagiotis Kotetes , Indranil Paul , Brian M. Andersen

The interplay of fluctuations, ergodicity, and disorder in many-body interacting systems has been striking attention for half a century, pivoted on two celebrated phenomena: Anderson localization predicted in disordered media, and…

Statistical Mechanics · Physics 2021-09-16 Yagmur Kati

We show that after a quantum quench of the parameter controlling the number of particles in a Fermi-Hubbard model on scale free graphs, the distribution of energy modes follows a power law dependent on the quenched parameter and the…

Statistical Mechanics · Physics 2014-12-02 Francesco Caravelli

We introduce a clean cluster spin chain coupled to fully interacting spinless fermions, forming an unconstrained Z2 lattice gauge theory (LGT) which possesses dynamical proximity effect controlled by the entanglement structure of the…

Strongly Correlated Electrons · Physics 2019-02-12 H. Yarloo , M. Mohseni-Rajaee , A. Langari

How a closed system thermalizes, especially in the absence of global conservation laws but in the presence of disorder and interactions, is one of the central questions in non-equilibrium statistical mechanics. We explore this for a…

Disordered Systems and Neural Networks · Physics 2025-02-25 Soumya Bera , Ishita Modak , Roderich Moessner

We present here a formulation for the calculation of the configuration averaged lattice thermal conductivity in random alloys. Our formulation is based on the augmented-space theorem, introduced by one of us, combined with a generalized…

Materials Science · Physics 2013-12-25 Aftab Alam , Abhijit Mookerjee

The eigenstate thermalization hypothesis describes how most isolated many-body quantum systems reach thermal equilibrium. However, the hypothesis is violated by phenomena such as many-body localization and quantum many-body scars. In this…

Disordered Systems and Neural Networks · Physics 2024-02-09 Michael Iversen , Jens H. Bardarson , Anne E. B. Nielsen

We find non-monotonic equilibrium energy distributions, qualitatively different from the Fermi-Dirac and Bose-Einstein forms, in strongly-interacting many-body chaotic systems. The effect emerges in systems with finite energy spectra,…

Quantum Gases · Physics 2026-01-01 Vladimir A. Yurovsky , Amichay Vardi

The concept of geometrical frustration has led to rich insights into condensed matter physics, especially as a mechansim to produce exotic low energy states of matter. Here we show that frustration provides a natural vehicle to generate…

Statistical Mechanics · Physics 2020-12-17 Paul A. McClarty , Masudul Haque , Arnab Sen , Johannes Richter

In their seminal work, Fermi, Pasta, Ulam and Tsingou explored the connection between statistical mechanics and dynamical properties, such as chaos and ergodicity. Even today, seventy years later, the topic is not fully understood: while…

Statistical Mechanics · Physics 2026-04-01 Marco Baldovin , Marco Cattaneo , Dario Lucente , Paolo Muratore-Ginanneschi , Angelo Vulpiani

We study the electron transport in a deformable lattice modeled in the semiclassical approximation as a discrete nonlinear elastic chain where acoustic phonons are in thermal equilibrium at temperature T. We reveal that an effective dynamic…

Disordered Systems and Neural Networks · Physics 2018-08-29 A. V. Savin , Y. S. Kivshar , M. I. Molina

We investigate the effects of quenched randomness on the universal properties of a two-temperature lattice gas. The disorder modifies the dynamical transition rates of the system in an anisotropic fashion, giving rise to a new fixed point.…

Statistical Mechanics · Physics 2009-10-28 B. Schmittmann , C. A. Laberge

The interplay of disorder and strong correlations in quantum many-body systems remains an open question. That is despite much progress made in recent years with ultracold atoms in optical lattices to better understand phenomena such as…

Strongly Correlated Electrons · Physics 2021-10-19 Jacob Park , Ehsan Khatami

The low temperature phase diagram of 1D weakly disordered quantum systems like charge or spin density waves and Luttinger liquids is studied by a \emph{full finite temperature} renormalization group (RG) calculation. For vanishing quantum…

Strongly Correlated Electrons · Physics 2008-06-24 Andreas Glatz , Thomas Nattermann

We characterize the disorder induced localization in momentum space for ultracold atoms in one-dimensional incommensurate lattices, according to the dual Aubry-Andr\'e model. For low disorder the system is localized in momentum space, and…

Quantum Gases · Physics 2012-06-06 Marco Larcher , Michele Modugno , Franco Dalfovo

We show that the onset of quantum chaos at infinite temperature in two many-body one-dimensional lattice models, the perturbed spin-1/2 XXZ and Anderson models, is characterized by universal behavior. Specifically, we show that the onset of…

Statistical Mechanics · Physics 2021-12-02 Tyler LeBlond , Dries Sels , Anatoli Polkovnikov , Marcos Rigol

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

The quench dynamics of systems exhibiting cooperative or almost competitive orders in equilibrium are explored using Ginzburg-Landau theory plus fluctuations. We show that when the renormalization of the free energy by fluctuations is taken…

Strongly Correlated Electrons · Physics 2025-08-18 Francesco Grandi , Antonio Picano , Ronny Thomale , Dante M. Kennes , Martin Eckstein

The interplay between quantum and thermal fluctuations in the presence of quenched random disorder is a long-standing open theoretical problem which has been made more urgent by advances in modern experimental techniques. The fragility of…

Strongly Correlated Electrons · Physics 2025-01-28 Matthew C. O'Brien , Eduardo Fradkin

We consider paradigmatic quenched disordered quantum spin models, viz., the XY spin glass and random-field XY models, and show that quenched averaged quantum correlations can exhibit the order-from-disorder phenomenon for finite-size…

Quantum Physics · Physics 2016-03-23 Debasis Sadhukhan , R. Prabhu , Aditi Sen De , Ujjwal Sen