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Despite considerable efforts over the last decade, the high-energy phase diagram of the random-field Heisenberg chain still eludes our understanding, in particular the nature of the non-ergodic many-body localized (MBL) regime expected at…

Disordered Systems and Neural Networks · Physics 2025-12-19 Nicolas Laflorencie , Jeanne Colbois , Fabien Alet

The interplay of various localizing mechanisms is a central topic of modern condensed matter physics. In this work we experimentally explore the interplay between quasiperiodic disorder and periodic driving, each of which in isolation is…

Atomic Physics · Physics 2025-05-12 Peter Dotti , Yifei Bai , Toshihiko Shimasaki , Anna R. Dardia , David M. Weld

Many-body localisation is studied in a disordered quantum spin-1/2 chain with long-ranged power-law interactions, and distinct power-law exponents for interactions between longitudinal and transverse spin components. Using a self-consistent…

Disordered Systems and Neural Networks · Physics 2019-10-09 Sthitadhi Roy , David E. Logan

Characterizing the many-body localization (MBL) transition in strongly disordered and interacting quantum systems is an important issue in the field of condensed matter physics. We study the single particle Green's functions for a…

Disordered Systems and Neural Networks · Physics 2021-10-29 Atanu Jana , V. Ravi Chandra , Arti Garg

After a sudden quench from the disordered high-temperature $T_0\to\infty$ phase to a final temperature below the critical point $T_F \ll T_c$, the non-conserved order parameter dynamics of the two-dimensional ferromagnetic Ising model on a…

While the high-temperature spin diffusion in spin chains with random local fields has been the subject of numerous studies concerning the phenomenon of many-body localization (MBL), the energy diffusion in the same models has been much less…

Disordered Systems and Neural Networks · Physics 2025-07-08 J. Herbrych , P. Prelovšek

We employ an adaptation of a strong-disorder renormalization-group technique in order to analyze the ferro-paramagnetic quantum phase transition of Ising chains with aperiodic but deterministic couplings under the action of a transverse…

Statistical Mechanics · Physics 2012-03-16 Fleury J. Oliveira Filho , Maicon S. Faria , André P. Vieira

We investigate the mixed spin-$(s,\tfrac12)$ Ising model on a Cayley tree of order three ($k=3$), extending the approach of \cite{Akin2024}. For the representative case $s=5$, the associated recursion leads to an 11-dimensional dynamical…

Mathematical Physics · Physics 2026-02-17 Hasan Akin

We study the delocalisation transition which takes places in one-dimensional disordered systems when the random potential exhibits specific long-range correlations. We consider the case of weak disorder; using a systematic perturbative…

Disordered Systems and Neural Networks · Physics 2007-05-23 L. Tessieri

Dissipation is inevitable in realistic quantum circuits. We examine the effects of dissipation on a class of monitored random circuits that exhibit a measurement-induced entanglement phase transition. This transition has previously been…

Statistical Mechanics · Physics 2023-10-13 Yue Li , Martin Claassen

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

We numerically investigate the link between the delocalization-localization transition and entanglement in a disordered long-range hopping model of spinless fermions by studying various static and dynamical quantities. This includes the…

Strongly Correlated Electrons · Physics 2018-03-14 Nilanjan Roy , Auditya Sharma

An efficient microcanonical dynamics has been recently introduced for Ising spin models embedded in a generic connected graph even in the presence of disorder i.e. with the spin couplings chosen from a random distribution. Such a dynamics…

Statistical Mechanics · Physics 2015-05-19 Elena Agliari , Mario Casartelli , Alessandro Vezzani

We study the critical level statistics at the many-body localization (MBL) transition region in random spin systems. By employing the inter-sample randomness as indicator, we manage to locate the MBL transition point in both orthogonal and…

Disordered Systems and Neural Networks · Physics 2021-03-02 Wen-Jia Rao

We study the influence of a correlated disorder on the localization phase transition in the pinning model. When correlations are strong enough, a strong disorder regime arises: large and frequent attractive regions appear in the…

Probability · Mathematics 2015-06-15 Quentin Berger

The transition between many-body localized states and the delocalized thermal states is an eigen-state phase transition at finite energy density outside the scope of conventional quantum statistical mechanics. In this work we investigate…

Strongly Correlated Electrons · Physics 2019-08-13 Wei Zhang , Ziqiang Wang

We analyze a disordered central spin model, where a central spin interacts equally with each spin in a periodic one dimensional random-field Heisenberg chain. If the Heisenberg chain is initially in the many-body localized (MBL) phase, we…

Disordered Systems and Neural Networks · Physics 2018-11-07 Daniel Hetterich , Norman Y. Yao , Maksym Serbyn , Frank Pollmann , Björn Trauzettel

We study the statistical properties of a single free quantum particle evolving coherently on a discrete lattice in ${\rm d}$ spatial dimensions where every lattice site is additionally subject to continuous measurement of the occupation…

Quantum Physics · Physics 2024-08-20 Tony Jin , David G. Martin

We study a quantum spin system with local bilinear interactions and without quenched disorder which seems to display characteristic signatures of a many-body localisation (MBL) transition. From direct diagonalisation of small systems, we…

Statistical Mechanics · Physics 2016-06-01 James M. Hickey , Sam Genway , Juan P. Garrahan

Two numerical strategies based on the Wang-Landau and Lee entropic sampling schemes are implemented to investigate the first-order transition features of the 3D bimodal ($\pm h$) random-field Ising model at the strong disorder regime. We…

Statistical Mechanics · Physics 2008-03-31 N. G. Fytas , A. Malakis , K. Eftaxias