Solutions for the T = 0 quantum spin glass transition in a metallic model with spin-charge coupling
✍ Scribed by R. Oppermann; M. Binderberger
- Publisher
- John Wiley and Sons
- Year
- 1994
- Tongue
- English
- Weight
- 966 KB
- Volume
- 506
- Category
- Article
- ISSN
- 0003-3804
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✦ Synopsis
We solve several low temperature problems of an infinite range metailic spin glass model.
A compensation problem of T-0 divergencies is solved for the free energy which helped to extract the quantum critical behaviour of the spin glass order parameters as a function of J-J,(T= 0). The critical value J,(T= 0) = 3/16pF1 of the frustrated spin coupling J, which separates spin glass from nonmagnetic (spin liquid) phase, is determined exactly in the static saddle point solution for a semielliptic metallic band model in terms of the density of states at the Fermi level. In addition to the replica-overlap order parameter (Qab), a # b, the diagonal is confirmed as order parameter by the result <Qu")Sp -( C ~J ) ~, / 3 = 1, and its susceptibility xuu'" -(-dJ)-y with y = 112 at T = 0. The value for y agrees with the one for the transverse field king spin glass. The low Tdecay of (QUu),, -T is obtained exactly in the whole quantum disordered phase including the critical value.