6533b82efe1ef96bd12944d1
RESEARCH PRODUCT
High-temperature series analysis of the p-state Potts glass model on d-dimensional hypercubic lattices
Kurt BinderB. LobeWolfhard Jankesubject
PhysicsSpin glassSeries (mathematics)Critical phenomenaCondensed Matter PhysicsCondensed Matter::Disordered Systems and Neural NetworksElectronic Optical and Magnetic MaterialsPadé approximantCondensed Matter::Strongly Correlated ElectronsStatistical physicsSeries expansionCritical exponentFree parameterPotts modeldescription
We analyze recently extended high-temperature series expansions for the “Edwards-Anderson” spin-glass susceptibility of the p-state Potts glass model on d-dimensional hypercubic lattices for the case of a symmetric bimodal distribution of ferro- and antiferromagnetic nearest-neighbor couplings \(\). In these star-graph expansions up to order 22 in the inverse temperature \(\), the number of Potts states p and the dimension d are kept as free parameters which can take any value. By applying several series analysis techniques to the new series expansions, this enabled us to determine the critical coupling Kc and the critical exponent \(\) of the spin-glass susceptibility in a large region of the two-dimensional (p,d)-parameter space. We discuss the thus obtained information with emphasis on the lower and upper critical dimensions of the model and present a careful comparison with previous estimates for special values of p and d.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-01-01 | The European Physical Journal B |