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We consider the non-stationary quantum relaxation of the Ising spin chain in a transverse field of strength h. Starting from a homogeneously magnetized initial state the system approaches a stationary state by a process possessing quasi…

Statistical Mechanics · Physics 2009-10-31 F. Igloi , H. Rieger

A previously introduced real space renormalization-group treatment of the random transverse-field Ising spin chain is extended to provide detailed information on the distribution of the energy gap and the end-to-end correlation function for…

Condensed Matter · Physics 2009-10-31 Daniel S. Fisher , A. P. Young

There is a large variety of quantum and classical systems in which the quenched disorder plays a dominant r\^ole over quantum, thermal, or stochastic fluctuations : these systems display strong spatial heterogeneities, and many averaged…

Disordered Systems and Neural Networks · Physics 2009-11-11 Ferenc Igloi , Cecile Monthus

The Ising quantum chain with a peculiar twisted boundary condition is considered. This boundary condition, first introduced in the framework of the spin-1/2 XXZ Heisenberg quantum chain, is related to the duality transformation, which…

High Energy Physics - Theory · Physics 2007-05-23 Uwe Grimm

We study the low-energy physics of the critical (2+1)-dimensional random transverse-field Ising model. The one-dimensional version of the model is a paradigmatic example of a system governed by an infinite-randomness fixed point, for which…

Statistical Mechanics · Physics 2023-11-21 Akshat Pandey , Aditya Mahadevan , Aditya Cowsik

Long range magnetic ordering in the quasi-one-dimensional random-bond antiferromagnet BaCu$_2$(Si$_{1-x}$Ge$_{x}$)$_2$O$_7$ is studied in $\mu$SR experiments as a function of disorder strength. Compared to the disorder-free parent…

Strongly Correlated Electrons · Physics 2014-12-04 M. Thede , T. Haku , T. Masuda , C. Baines , E. Pomjakushina , G. Dhalenne , A. Revcolevschi , E. Morenzoni , A. Zheludev

Entanglement features of the ground state of disordered quantum matter are often captured by an infinite randomness fixed point that, for a variety of models, is the random singlet phase. Although a copious number of studies covers…

Statistical Mechanics · Physics 2020-03-04 Xhek Turkeshi , Paola Ruggiero , Pasquale Calabrese

We observe signatures of disorder-induced order in 1D XY spin chains with an external, site-dependent uni-axial random field within the XY plane. We numerically investigate signatures of a quantum phase transition at T=0, in particular an…

We consider S=1/2 antiferromagnetic Heisenberg chains with alternating bonds and quenched disorder, which represents a theoretical model of the compound CuCl_{2x}Br_{2(1-x)}(\gamma-{pic})_2. Using a numerical implementation of the strong…

Disordered Systems and Neural Networks · Physics 2009-11-10 Yu-Cheng Lin , Heiko Rieger , Ferenc Iglói

The interplay between disorder and compressibility in Ising magnets is studied. Contrary to pure systems in which a weak compressibility drives the transition first order, we find from a renormalization group analysis that it has no effect…

Condensed Matter · Physics 2015-06-25 Yonathan Shapir , Serge Galam

The $N$-color quantum Ashkin-Teller spin chain is a prototypical model for the study of strong-randomness phenomena at first-order and continuous quantum phase transitions. In this paper, we first review the existing strong-disorder…

Strongly Correlated Electrons · Physics 2015-10-09 Hatem Barghathi , Fawaz Hrahsheh , José A. Hoyos , Rajesh Narayanan , Thomas Vojta

We consider random extended surface perturbations in the transverse field Ising model decaying as a power of the distance from the surface towards a pure bulk system. The decay may be linked either to the evolution of the couplings or to…

Statistical Mechanics · Physics 2007-05-23 L. Turban , D. Karevski , F. Igloi

Ground states and domain walls are investigated with exact combinatorial optimization in two-dimensional random field Ising magnets. The ground states break into domains above a length scale that depends exponentially on the random field…

Disordered Systems and Neural Networks · Physics 2009-10-31 E. T. Seppala , V. Petaja , M. J. Alava

Experimental systems with a first order phase transition will often exhibit hysteresis when out of equilibrium. If defects are present, the hysteresis loop can have different shapes: with small disorder the hysteresis loop has a macroscopic…

Condensed Matter · Physics 2007-05-23 Olga Perkovic , Karin A. Dahmen , James P. Sethna

We study the spin transport properties of some disordered spin chains with a special focus on the distribution of the frequency-dependent spin conductivity. In the cases of interest here, the systems are governed by an effectively infinite…

Disordered Systems and Neural Networks · Physics 2024-01-30 L. F. C. Faria , Victor L. Quito , João C. Getelina , José A. Hoyos , E. Miranda

Quantum Heisenberg spin chains with random couplings and spin sizes are studied using a real-space renormalization group technique. These systems belong to a new universality class of disordered quantum spin systems realized in {\it e.g.}…

Condensed Matter · Physics 2009-10-28 E. Westerberg , A. Furusaki , M. Sigrist , P. A. Lee

We theoretically study magnetization relaxation of Ising spins distributed randomly in a $d$-dimension homogeneous and Gaussian profile under a soft-core two-body interaction potential $\propto1/[1+(r/R_c)^\alpha]$ ($\alpha\ge d$), where…

Statistical Mechanics · Physics 2022-04-06 Canzhu Tan , Xiaodong Lin , Yabing Zhou , Y. H. Jiang , Matthias Weidemüller , Bing Zhu

We study the average density of resonances, $<\rho(x,y)>$, in a semi-infinite disordered chain coupled to a perfect lead. The function $<\rho(x,y)>$ is defined in the complex energy plane and the distance $y$ from the real axes determines…

Disordered Systems and Neural Networks · Physics 2009-11-11 Herve Kunz , Boris Shapiro

We investigate the dynamics of a quantum particle in disordered tight-binding models in one and two dimensions which are exceptions to the common wisdom on Anderson localization, in the sense that the localization length diverges at some…

Disordered Systems and Neural Networks · Physics 2015-03-17 P. L. Krapivsky , J. M. Luck

We use an exact renormalization-group transformation to study the Ising model on a complex network composed of tightly-knit communities nested hierarchically with the fractal scaling recently discovered in a variety of real-world networks.…

Disordered Systems and Neural Networks · Physics 2007-06-13 Michael Hinczewski