scholarly journals Non-Hermitian quantum annealing in the ferromagnetic Ising model

2013 ◽  
Vol 87 (4) ◽  
Author(s):  
Alexander I. Nesterov ◽  
Juan Carlos Beas Zepeda ◽  
Gennady P. Berman
Keyword(s):  
Ising Model ◽  
Quantum Annealing ◽  
Ferromagnetic Ising Model

scholarly journals Lee-Yang zeros of the antiferromagnetic Ising model

2021 ◽  
pp. 1-35
Author(s):  
FERENC BENCS ◽  
PJOTR BUYS ◽  
LORENZO GUERINI ◽  
HAN PETERS
Keyword(s):  
Ising Model ◽  
Partition Functions ◽  
Cayley Trees ◽  
Circular Arcs ◽  
Precise Characterization ◽  
Ferromagnetic Ising Model ◽  
Location Of Zeros ◽  
Antiferromagnetic Ising Model ◽  
Recursively Defined Trees ◽  
Degree Bound

Abstract We investigate the location of zeros for the partition function of the anti-ferromagnetic Ising model, focusing on the zeros lying on the unit circle. We give a precise characterization for the class of rooted Cayley trees, showing that the zeros are nowhere dense on the most interesting circular arcs. In contrast, we prove that when considering all graphs with a given degree bound, the zeros are dense in a circular sub-arc, implying that Cayley trees are in this sense not extremal. The proofs rely on describing the rational dynamical systems arising when considering ratios of partition functions on recursively defined trees.

scholarly journals Critical percolation in the dynamics of the 2D ferromagnetic Ising model

2017 ◽  
Vol 2017 (11) ◽  
pp. 113201 ◽  
Author(s):  
Thibault Blanchard ◽  
Leticia F Cugliandolo ◽  
Marco Picco ◽  
Alessandro Tartaglia
Keyword(s):  
Ising Model ◽  
Critical Percolation ◽  
Ferromagnetic Ising Model

scholarly journals Glassy behaviour in the ferromagnetic Ising model on a Cayley tree

1996 ◽  
Vol 29 (18) ◽  
pp. 5773-5804 ◽  
Author(s):  
R Mélin ◽  
J C Anglès d'Auriac ◽  
P Chandra ◽  
B Douçot
Keyword(s):  
Ising Model ◽  
Cayley Tree ◽  
Ferromagnetic Ising Model
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