Solvable spin glass of quantum rotors
- 21 June 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 70 (25), 4011-4014
- https://doi.org/10.1103/physrevlett.70.4011
Abstract
We examine a model of M-component quantum rotors coupled by Gaussian-distributed random, infinite-range exchange interactions. A complete solution is obtained at M=∞ in the spin-glass and quantum-disordered phases. The quantum phase transition separating them is found to possess logarithmic violations of scaling, with no further modifications to the leading critical behavior at any order in 1/M; this suggests that the critical properties of the transverse-field Ising model (believed to be identical to the M→1 limit) are the same as those of the M=∞ quantum rotors.Keywords
This publication has 22 references indexed in Scilit:
- Random transverse field Ising spin chainsPhysical Review Letters, 1992
- High-energy spin waves inPhysical Review Letters, 1991
- Replica field theory for random manifoldsJournal de Physique I, 1991
- Magnetic fluctuations inPhysical Review Letters, 1991
- Phase diagrams of the quantum XY spin glass model in a transverse fieldPhysics Letters A, 1990
- Solvable model of the quantum spin glass in a transverse fieldPhysical Review B, 1990
- The order parameter for spin glasses: a function on the interval 0-1Journal of Physics A: General Physics, 1980
- The infinite-ranged spin glass with m-component spinsJournal of Physics C: Solid State Physics, 1978
- Phase Transitions in Long-Range Ferromagnetic ChainsPhysical Review Letters, 1976
- Exact Results in the Kondo Problem. II. Scaling Theory, Qualitatively Correct Solution, and Some New Results on One-Dimensional Classical Statistical ModelsPhysical Review B, 1970