TY - JOUR
T1 - Exact results on spin glass models
AU - Nishimori, Hidetoshi
PY - 2002/4/1
Y1 - 2002/4/1
N2 - Exact and/or rigorous results are reviewed for the Ising and XY/Villain spin glasses in finite dimensions, such as the exact energy, correlation identities and a functional relation between the distribution functions of ferromagnetic and spin glass order parameters. This last relation is useful to prove that the phase space is not complex on a line in the phase diagram. The spin wave theory neglecting periodicity is shown to give exact results for the Villain model on a line in the phase diagram. Implications of this fact on the renormalization-group results for the random-phase XY/Villain model in two dimensions are discussed.
AB - Exact and/or rigorous results are reviewed for the Ising and XY/Villain spin glasses in finite dimensions, such as the exact energy, correlation identities and a functional relation between the distribution functions of ferromagnetic and spin glass order parameters. This last relation is useful to prove that the phase space is not complex on a line in the phase diagram. The spin wave theory neglecting periodicity is shown to give exact results for the Villain model on a line in the phase diagram. Implications of this fact on the renormalization-group results for the random-phase XY/Villain model in two dimensions are discussed.
KW - Gauge theory
KW - Ising model
KW - Random-phase XY model
KW - Spin glass
KW - Spin wave theory
KW - Villain model
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U2 - 10.1016/S0378-4371(02)00486-7
DO - 10.1016/S0378-4371(02)00486-7
M3 - Conference article
AN - SCOPUS:0036539778
SN - 0378-4371
VL - 306
SP - 68
EP - 75
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
T2 - 21th IUPAP Conference on Invited Papares (STATPHYS 21)
Y2 - 15 July 2001 through 21 July 2001
ER -