The four-dimensionalXYspin glass

DOI10.1088/0305-4470/29/15/004zbMATH Open0906.60085arXivcond-mat/9603190OpenAlexW2093784798MaRDI QIDQ4390172

Sudhir R. Jain

Publication date: 31 January 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Abstract: The nearest-neighbour XY spin glass on a hypercubic lattice in four dimensions is studied by Monte Carlo simulations. A finite- size scaling analysis of the data leads to a finite temperature spin glass transition at $T_c=0.95pm0.15$. The critical exponents are estimated to be $u_{sg}=0.70pm0.10$ and eta_{sg}=-0.28pm 0.38$. The results imply that the lower critical dimensionality for the XY spin glass is less than four.

Full work available at URL: https://arxiv.org/abs/cond-mat/9603190

zbMATH Keywords

Monte Carlo simulationshypercubic lattice

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30)

Related Items (2)

The XY spin glass in the presence of a planar anisotropy field ⋮ Monte Carlo simulations of vector spin glasses at low temperatures

Recommendations

• Title not available (Why is that?) 👍 👎
• Ising models with four spin interaction at criticality 👍 👎
• The Ising spin glass in dimension four 👍 👎
• Non-universality in Ising models with four spin interaction 👍 👎
• Four-dimensional spin glasses in a magnetic field have a mean-field-like phase 👍 👎
• Critical behaviour of the four-dimensional spin glass in magnetic field 👍 👎
• Glassy behaviour and semi-local invariance in Ising model with four-spin interaction 👍 👎
• Chiral glass ordering in theXYspin glass in four dimensions 👍 👎
• Numerical simulations of the four-dimensional Edwards-Anderson spin glass with binary couplings 👍 👎
• On the four-dimensional diluted Ising model 👍 👎

This page was built for publication: The four-dimensionalXYspin glass

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q4390172)