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80
Integral representation of the Ising model
, 2008
"... The partition function of the 2D Ising model coupled to an external magnetic field is studied. We show that the sum over the spin variables can be reduced to an integration over a finite number of variables. This integration must be performed numerically. But in order to reduce the partition functio ..."
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The partition function of the 2D Ising model coupled to an external magnetic field is studied. We show that the sum over the spin variables can be reduced to an integration over a finite number of variables. This integration must be performed numerically. But in order to reduce the partition
Dimers and the Ising model
, 2008
"... We present a connection between the ground state of the Ising Model and the dimer problem. We find the generating function for dimers as the appropriate limit of the free energy per spin for the Ising Model. 1. Dimers. Dimers are objects connecting two neighboring sites of the lattice. We consider a ..."
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We present a connection between the ground state of the Ising Model and the dimer problem. We find the generating function for dimers as the appropriate limit of the free energy per spin for the Ising Model. 1. Dimers. Dimers are objects connecting two neighboring sites of the lattice. We consider
Duality and even number spincorrelation functions in the Two dimensional square lattice Ising model
, 2007
"... The KramersWannier duality is shown to hold for all the even number spin correlation functions of the two dimensional square lattice Ising model in the sense that the high temperature (T> Tc) expressions for these correlation functions are transformed into the low temperature (T < Tc) express ..."
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) expressions under this duality transformation. PACS: 05.70.Jk The two dimensional Ising model remains one of the very few models for which many properties can be calculated exactly [1,3,4,5,6,7,8,9]. Among these are the partition function and in principle all the multispin correlation functions for the case
Quantum Phase Transitions in Spin1 Ising Chain in Regularly Alternating Transverse Field: Spin Correlation Functions
, 2005
"... We consider the spin 1 2 Ising chain in a regularly alternating transverse field to examine the effects of regular alternation on the quantum phase transition inherent in the quantum Ising chain. The number of quantum phase transition points strongly depends on the specific set of the Hamiltonian p ..."
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We consider the spin 1 2 Ising chain in a regularly alternating transverse field to examine the effects of regular alternation on the quantum phase transition inherent in the quantum Ising chain. The number of quantum phase transition points strongly depends on the specific set of the Hamiltonian
2002 Spectrum of a duality–twisted Ising quantum chain
 J. Phys. A: Math. Gen
"... Abstract. The Ising quantum chain with a peculiar twisted boundary condition is considered. This boundary condition, first introduced in the framework of the spin1/2 XXZ Heisenberg quantum chain, is related to the duality transformation, which becomes a symmetry of the model at the critical point. ..."
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Cited by 8 (4 self)
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. Thus, at the critical point, the Ising quantum chain with the dualitytwisted boundary is translationally invariant, similar as in the case of the usual periodic or antiperiodic boundary conditions. The complete energy spectrum of the Ising quantum chain is calculated analytically for finite systems
Simplicity of State and Overlap Structure in FiniteVolume Realistic Spin Glasses
 Rev. E
, 1998
"... We present a combination of heuristic and rigorous arguments indicating that both the pure state structure and the overlap structure of realistic spin glasses should be relatively simple: in a large finite volume with couplingindependent boundary conditions, such as periodic, at most a pair of flip ..."
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Cited by 14 (5 self)
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We present a combination of heuristic and rigorous arguments indicating that both the pure state structure and the overlap structure of realistic spin glasses should be relatively simple: in a large finite volume with couplingindependent boundary conditions, such as periodic, at most a pair
On the Ising problem and some matrix operations Title: On the Ising problem and some matrix operations Author: On the Ising problem and some matrix operations
"... Akademisk avhandling som med vederbörligt tillstånd av Rektor vid Umeå universitet för avläggande av filosofie doktorsexamen framlägges till offentligt försvar i MA 121, MIThuset, torsdagen den 31 maj 2007 klockan 13. 15 In three dimensions however only a few results are known. One of the most imp ..."
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function associated with all finite graphs. In this dissertation we show that a number of interesting graph invariants can be calculated from the coefficients of the Ising partition function. We also give some interesting observations about the partition function in general and show that there are, for any
The hightemperature specific heat exponent of the 3D Ising model
 J. Phys. A
, 1994
"... We have extended the hightemperature susceptibility series of the threedimensional spin1 2 Ising model to O(v26). Analysis of the new series gives α = 0.101 ± 0.004. In an earlier paper [4] we gave series to order v 22 for the hightemperature expansion of the zerofield partition function of the ..."
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Cited by 1 (0 self)
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We have extended the hightemperature susceptibility series of the threedimensional spin1 2 Ising model to O(v26). Analysis of the new series gives α = 0.101 ± 0.004. In an earlier paper [4] we gave series to order v 22 for the hightemperature expansion of the zerofield partition function
Mean field solution of the random Ising model on the dual lattice
, 1995
"... We perform a duality transformation that allows one to express the partition function of the ddimensional Ising model with random nearest neighbor coupling in terms of new spin variables defined on the square plaquettes of the lattice. The dual model is solved in the mean field approximation. PACS ..."
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We perform a duality transformation that allows one to express the partition function of the ddimensional Ising model with random nearest neighbor coupling in terms of new spin variables defined on the square plaquettes of the lattice. The dual model is solved in the mean field approximation. PACS
Monte Carlo Study of Correlations Near the Ground State of the Triangular Antiferromagnetic Ising Model
"... We study the spinspin correlation function in or near the T = 0 ground state of the antiferromagnetic Ising model on a triangular lattice. At zero temperature its modulation on the sublattices gives rise to two Bragg peaks in the structure factor, and a known expression for the algebraic decay of c ..."
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generalisation of the zero temperature pair correlation function. The size dependence of our simulation data is investigated through a novel finitesize scaling analysis where t = e \Gamma2=T is used as the temperature parameter. PACSnumbers: 64.60.Fr, 64.70.Rh, 75.10.Hk, 75.40.Mg Keywords: Ising models
Results 1  10
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80