Measurements conspire nonlocally to restructure critical quantum states

SJ Garratt, Z Weinstein, E Altman - Physical Review X, 2023‏ - APS
We study theoretically how local measurements performed on critical quantum ground states
affect long-distance correlations. These states are highly entangled and feature algebraic …

Random-field mechanism in random-bond multicritical systems

K Hui, AN Berker - Physical review letters, 1989‏ - APS
It is argued on general grounds that bond randomness drastically alters multicritical phase
diagrams via a random-field mechanism. For example, tricritical points and critical end …

Absence of self-averaging and universal fluctuations in random systems near critical points

A Aharony, AB Harris - Physical review letters, 1996‏ - APS
The distributions P (X) of singular thermodynamic quantities, on an ensemble of d-
dimensional quenched random samples of linear size L near a critical point, are analyzed …

Spin systems on hierarchical lattices. II. Some examples of soluble models

M Kaufman, RB Griffiths - Physical Review B, 1984‏ - APS
Several examples are given of soluble models of phase-transition phenomena utilizing
classical discrete spin systems with nearest-neighbor interaction on hierarchical lattices …

Inverted Berezinskii-Kosterlitz-Thouless singularity and high-temperature algebraic order in an Ising model on a scale-free hierarchical-lattice small-world network

M Hinczewski, A Nihat Berker - Physical Review E—Statistical, Nonlinear, and …, 2006‏ - APS
We have obtained exact results for the Ising model on a hierarchical lattice incorporating
three key features characterizing many real-world networks—a scale-free degree …

Effect of disorder on two-dimensional wetting

B Derrida, V Hakim, J Vannimenus - Journal of Statistical Physics, 1992‏ - Springer
For the problem of the 2D wetting transition near a 1D random wall, we show by a
renormalization calculation that the effect of disorder is marginally relevant. It is therefore …

Tricritical and critical end-point phenomena under random bonds

A Falicov, AN Berker - Physical review letters, 1996‏ - APS
The effect of bond randomness on tricritical and critical end-point phenomena is studied by
renormalization-group theory. In three dimensions, the pure-system tricritical point is …

Critical Disordered Systems with Constraints and the Inequality

A Aharony, AB Harris, S Wiseman - Physical review letters, 1998‏ - APS
The renormalization group approach is used to study the effects of a “canonical” constraint
(eg, a fixed number of occupied bonds) on critical quenched disordered systems. The …

Complex exponents and log-periodic corrections in frustrated systems

H Saleur, D Sornette - Journal de Physique I, 1996‏ - jp1.journaldephysique.org
Recently, it has been observed that rupture processes in highly disordered media and
earthquakes exhibit universal log-periodic corrections to scaling. We argue that such …

Renormalization-group theory of the random-field Ising model in three dimensions

A Falicov, AN Berker, SR McKay - Physical Review B, 1995‏ - APS
A highly detailed renormalization-group study is applied to the equilibrium statistical
mechanics of the random-field Ising model in three dimensions, with analysis of the …