1998/04/03 by K Walasek, K. Walasek, K Lukierska- Walasek +5
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #Complex Systems and Time Series Analysis #Condensed matter physics #Curse of dimensionality #Ising model #Limit (mathematics) #Mathematical analysis #Mathematics #Mean field theory #Paramagnetism #Phase (matter) #Phase diagram #Physics #Quantum mechanics #Spin (aerodynamics) #Spin glass #Statistics #Theoretical and Computational Physics #Thermodynamics #Transverse plane #cond-mat.dis-nn
paper · pdf · doi:10.1088/0305-4470/31/27/004
LaTex, 11 pages, 2 figures
arxiv created 1998/04/03 · openalex publication_date 1998/07/10 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The classical transverse field Ising spin-glass model with short-range interactions is investigated beyond the mean-field approximation for a real d -dimensional lattice. We use an appropriate non-trivial modification of the Bethe-Peierls method recently formulated for the Ising spin-glass. The zero-temperature critical value of the transverse field and the linear susceptibility in the paramagnetic phase are obtained analytically as functions of dimensionality d . The phase diagram is also calculated numerically for different values of d . In the limit , known mean-field results are consistently reproduced.