Aperiodic spin chain in the mean field approximation

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Aperiodic spin chain in the mean-field approximation

Surface and bulk critical properties of an aperiodic spin chain are investigated in the framework of the φ phenomenological Ginzburg-Landau theory. According to Luck’s criterion, the mean field correlation length exponent ν = 1/2 leads to a marginal behaviour when the wandering exponent of the sequence is ω = −1. This is the case of the Fibonacci sequence that we consider here. We calculate the...

متن کامل

Nonuniversal behavior for aperiodic interactions within a mean-field approximation.

We study the spin-1/2 Ising model on a Bethe lattice in the mean-field limit, with the interaction constants following one of two deterministic aperiodic sequences, the Fibonacci or period-doubling one. New algorithms of sequence generation were implemented, which were fundamental in obtaining long sequences and, therefore, precise results. We calculate the exact critical temperature for both s...

متن کامل

Beyond the mean field approximation for spin glasses.

We study the d-dimensional random Ising model using a suitable type of BethePeierls approximation in the framework of the replica method. We take into account the correct interaction only inside replicated clusters of spins. Our ansatz is that the interaction of the borders of the clusters with the external world can be described via an effective interaction among replicas. The Bethe-Peierls mo...

متن کامل

Entanglement in the XZ spin chain model in the external magnetic field

The entanglement at zero-temperature is studied in a two-qubit XZ spin-1/2 chain model in anexternal magnetic field which is applied in the z direction. We have obtained an analytical relation forthe effect of the external magnetic field on the concurrence. It is shown that the ground state of thesystem depends on the strength of exchange coupling. We have shown that the analytical relation oft...

متن کامل

On the mean-field spin glass transition

In this paper we analyze two main prototypes of disordered mean-field systems, namely the Sherrington-Kirkpatrick (SK) and the Viana-Bray (VB) models, to show that, in the framework of the cavity method, the transition from the annealed regime to a broken replica symmetry phase can be thought of as the failure of the saturability property (detailed explained along the paper) of the overlap fluc...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Physics A: Mathematical and General

سال: 1997

ISSN: 0305-4470,1361-6447

DOI: 10.1088/0305-4470/30/5/007