Transverse spin correlation function of the one-dimensional spin- XY model in a longitudinal magnetic field

1983 ◽  
Vol 31-34 ◽  
pp. 1223-1224
Author(s):  
T. Tonegawa
Keyword(s):  
Magnetic Field ◽  
Correlation Function ◽  
Longitudinal Magnetic Field ◽  
Spin Correlation ◽  
Transverse Spin ◽  
Xy Model ◽  
Spin Correlation Function ◽  
One Dimensional ◽  
The One

OFF THE CRITICAL POINT BY PERTURBATION (II): THE ISING MODEL SPIN-SPIN CORRELATOR IN A MAGNETIC FIELD

1990 ◽  
Vol 04 (05) ◽  
pp. 1039-1047 ◽  
Author(s):  
Vl. S. Dotsenko
Keyword(s):  
Magnetic Field ◽  
Correlation Function ◽  
Ising Model ◽  
Scaling Function ◽  
Spin Correlation ◽  
Regularization Technique ◽  
Spin Correlation Function ◽  
Analytic Regularization ◽  
Spin Correlator ◽  
The Scaling Function

An extension of the analytic regularization technique based on the conform 1 theory is suggested for the case of the spin-spin correlation function of the Ising model in a magnetic field, <σ0σR>h=F(t)/(R)1/4, t=hR15/8. Several first terms of the expansion of the scaling function F(t) are given.

A variational calculation of magnetized correlated fermion system using a spin-dependent correlation: Application to liquid 3He

2015 ◽  
Vol 29 (07) ◽  
pp. 1550046 ◽  
Author(s):  
Gholam Hossein Bordbar ◽  
Mohammad Taghi Mohammadi Sabet
Keyword(s):  
Magnetic Field ◽  
Magnetic Susceptibility ◽  
Correlation Function ◽  
Magnetic Fields ◽  
Spin Correlation ◽  
Variational Calculation ◽  
Fermion System ◽  
Magnetic Instability ◽  
Spin Correlation Function ◽  
Dependent Correlation

In the presence of magnetic field, we have employed a spin-dependent correlation function to investigate the properties of liquid 3 He using the variational method based on the cluster expansion of the energy. It has been indicated that at all relevant magnetic fields and densities, the inclusion of spin-dependency for the correlation function leads to the lower magnitudes for the kinetic, magnetic and potential energies, and therefore the total energy of this system. We have seen that the spin–spin correlation affects the system to be less magnetized compared to the case in which we consider the spin-independent correlation, especially at low densities. In the case of spin–spin correlation function, our results show a maximum in the magnetic susceptibility, and therefore a meta-magnetic instability for the system for the magnetic fields in the range 50 T ≤ B ≤ 60 T . This behavior has not been observed in the case of spin-independent correlation.

Diffuse Scattering on Ising Chain with Competing Interactions

2016 ◽  
Vol 845 ◽  
pp. 122-125 ◽  
Author(s):  
Alexander V. Zarubin ◽  
Felix Kassan-Ogly ◽  
Alexey I. Proshkin
Keyword(s):  
Magnetic Field ◽  
Fourier Transform ◽  
Correlation Function ◽  
Diffuse Scattering ◽  
Spin Correlation ◽  
Ising Chain ◽  
Competing Interactions ◽  
Spin Correlation Function ◽  
1D Chain ◽  
Exchange Parameters

We considered the Ising 1D chain in an external magnetic field taking into account the nearest and next-nearest interactions. By the method of Kramers–Wannier transfer-matrix, the rigorous analytical expression for Fourier-transform of pair spin-spin correlation function was obtained, and the temperature evolution of the scattering was analyzed for various relations of exchange parameters.

scholarly journals RENORMALIZATION GROUP, HIDDEN SYMMETRIES AND APPROXIMATE WARD IDENTITIES IN THE XYZ MODEL

2001 ◽  
Vol 13 (11) ◽  
pp. 1323-1435 ◽  
Author(s):  
G. BENFATTO ◽  
V. MASTROPIETRO
Keyword(s):  
Magnetic Field ◽  
Correlation Function ◽  
Renormalization Group ◽  
Asymptotic Behaviour ◽  
Critical Index ◽  
Spin Correlation ◽  
Coupling Constants ◽  
Hidden Symmetries ◽  
Spin Correlation Function ◽  
Running Coupling

Using renormalization group methods, we study the Heisenberg–Ising XYZ chain in an external magnetic field directed as the z axis, in the case of small coupling J3 in the z direction. In particular, we focus our attention on the asymptotic behaviour of the spin correlation function in the direction of the magnetic field and the singularities of its Fourier transform. An expansion for the ground state energy and the effective potential is derived, which is convergent if the running coupling constants are small enough. Moreover, by using hidden symmetries of the model, we show that this condition is indeed verified, if J3 is small enough, and we derive an expansion for the spin correlation function. We also prove, by means of an approximate Ward identity, that a critical index, related with the asymptotic behaviour of the correlation function, is exactly vanishing, together with other properties, so obtaining a rather detailed description of the XYZ correlation function.

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