An effective expansion for the free energy of quantum spin glass models with infinite-range interactions

• Autorzy: Domański Z.
• Języki publikacji: EN

Abstrakty

EN

An expansion for the free energy functional of quantum spin models is build around diagonalisable single-ion term of the system's Hamiltonian. This expansion is obtained within the Matsubara time formalism by introducing recursive relations involving the spin correlation functions.

Słowa kluczowe

EN

quantum spin glass models; free energy; replica method

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2009
• Tom: Vol. 8, nr 2
• Strony: 37--42
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Domański Z.

• Institute of Mathematics, Czestochowa University of Technology, Poland,

Bibliografia

• [1] Edwards S.F., Anderson P.W., Theory of spin glasses, J. Phys. F: Met. Phys. 1975, 5, 965.
• [2] Sherrington D., Kirkpatrick S., Solvable model of a spin-glass, Phys. Rev. Lett. 1975, 35, 1792.
• [3] Bray A.J., Moore M.A., Replica theory of quantum spin glasses, J. Phys. C: Solid State Phys. 1980, 13, L655.
• [4] Pázmándi F., Domański Z., Phase diragrams of quantum spin-glass models, J. Phys.: Condens. Matter 1993, 5, L117.
• [5] Pázmándi F., Domański Z., Erdös P., Correlations in the Trotter dimension in the transverse Ising spin-glass model, Phys. Rev. 1993, B 47, 8285.
• [6] Crisanti A., De Dominicis C., Sarlat T., Spin glass near zero-temperature. An expansion around spherical approximation, to appear in European Phys. Journal (2009).
• [7] Crisanti A., De Dominicis C., Sarlat T., Sherrington-Kirkpatrick model near T=Tc: expanding around the Replica Symmetric Solution, to appear in Journal Phys. A: Math. Gen. (2010).