THREE-DIMENSIONAL QUANTUM SPIN GLASS THEORY (II ) STABILITY ANALYSIS

Yi Lin, K.L. Yao, (1)华中理工大学物理系和激光技术国家实验室,武汉430074; (2)中国高等科学技术中心(世界实验室)

Based on our previous work, introducing an extended Goldbart ansatz, all eigenvalues of the Hessian matrix in our three-dimensional spin glass model are obtained. It is found that the vanishing smallest eigenvalue λ3 has two solutions, which correspond to the Gabay-Toulouse (GT) upper and Almeida-Thouless (AT) lower critical lines respectively. Finally, the relation between our theory and other method is discussed.

Hans-Juergen Sommers

T. HASEGAWA, K. NEMOTO

K. Bien, Klaus D. Usadel

Yi Lin, K.L. Yao, 华中理工大学物理系,中国高等科学技术中心

Using generalized Parisi's replica symmetry breaking scheme, the quantum spin glass theory proposed by our previous work is extended to the first-step replica symmetry breaking. A set of new self-consistent equations of spin self-interact ions and spin glass order parameters are obtained. The corresponding local susceptibility is reduced. It is found that the replica symmetry solution for vector spin glass model at low temperature must be broken through calculating the free-energy of the replica symmetry breaking.

Prabodh Shukla, Surjit Singh