Long-range interacting quantum systems
In this review recent investigations are summarized of many-body quantum systems with
long-range interactions, which are currently realized in Rydberg atom arrays, dipolar …
long-range interactions, which are currently realized in Rydberg atom arrays, dipolar …
Critical parameters of the three-dimensional Ising spin glass
We report a high-precision finite-size scaling study of the critical behavior of the three-
dimensional Ising Edwards-Anderson model (the Ising spin glass). We have thermalized …
dimensional Ising Edwards-Anderson model (the Ising spin glass). We have thermalized …
Unexpected upper critical dimension for spin glass models in a field predicted by the loop expansion around the bethe solution at zero temperature
The spin-glass transition in a field in finite dimension is analyzed directly at zero temperature
using a perturbative loop expansion around the Bethe lattice solution. The loop expansion is …
using a perturbative loop expansion around the Bethe lattice solution. The loop expansion is …
Study of the de Almeida–Thouless Line Using Power-Law Diluted<? format?> One-Dimensional Ising Spin Glasses
HG Katzgraber, D Larson, AP Young - Physical review letters, 2009 - APS
We test for the existence of a spin-glass phase transition, the de Almeida–Thouless line, in
an externally applied (random) magnetic field by performing Monte Carlo simulations on a …
an externally applied (random) magnetic field by performing Monte Carlo simulations on a …
Universal scaling in real dimension
The concept of universality has shaped our understanding of many-body physics, but is
mostly limited to homogenous systems. Here, we present a study of universality on a non …
mostly limited to homogenous systems. Here, we present a study of universality on a non …
Evidence that the de Almeida–Thouless transition disappears below six dimensions
One of the key predictions of Parisi's broken replica symmetry theory of spin glasses is the
existence of a phase transition in an applied field to a state with broken replica symmetry …
existence of a phase transition in an applied field to a state with broken replica symmetry …
Ising Spin-Glass Transition in a Magnetic Field Outside the Limit of Validity<? format?> of Mean-Field Theory
The spin-glass transition in a magnetic field is studied both in and out of the limit of validity of
mean-field theory on a diluted one dimensional chain of Ising spins where exchange bonds …
mean-field theory on a diluted one dimensional chain of Ising spins where exchange bonds …
Correspondence between long-range and short-range spin glasses
We compare the critical behavior of the short-range Ising spin glass with a spin glass with
long-range interactions which fall off as a power σ of the distance. We show that there is a …
long-range interactions which fall off as a power σ of the distance. We show that there is a …
Spin glasses in a field: Three and four dimensions as seen from one space dimension
We study the existence of a line of transitions of an Ising spin glass in a magnetic field—
known as the de Almeida-Thouless line—using one-dimensional power-law diluted Ising …
known as the de Almeida-Thouless line—using one-dimensional power-law diluted Ising …
Patchy percolation on a hierarchical network with small-world bonds
The bond-percolation properties of the recently introduced Hanoi networks are analyzed
with the renormalization group. Unlike scale-free networks, these networks are meant to …
with the renormalization group. Unlike scale-free networks, these networks are meant to …