
SPIN GLASSES WITH LONG AND SHORTRANGE INTERACTIONSSerhiy SorokovInstitute for Condensed Matter Physics, National Academy of Sciences of Ukraine1. Introduction.Main models (SherringtonKirkpatrick, EdwardsAnderson, pspin spherical model), quantities (spinglass parameter, overlap distribution function, complexity) and techniques (especially replica trick) used in the spinglass theory are reviewed. 2. Theory of spinglasses with infinite radius of interaction. We will consider replica symmetry solution and 1step replica symmetry breaking for pspin spherical model. The contribution of metastable states into global equilibrium free energy will be analyzed. We will discuss the structure of energy states and its relation to the ergodic breaking. 3. Theory of spinglasses with essential shortrange interactions. We will review the simulation results for some models with nearest neighbor interaction within the replica symmetry approach and the 1step replica symmetry breaking. Systems of equations for the distribution functions of static effective fields and linear dynamic susceptibility will be derived and analyzed. The phase diagrams constructed on the basic static and dynamic susceptibility will be discussed. The role of the weak longrange interaction will be illustrated. 4. The protonglasses of Rb1x(NH4)xH2PO4–type. The main experimental data (phase diagram, dynamic permittivity) will be reviewed. We will discuss the applicability of some models for description of the proton glasses. Literature : The review article T.Castellani, A.Cavagna. Spinglass theory for pedestrians// J.Stat.Mech.(2005) P05012, condmat/0505032 Main historical references 1. D.Sherrington, S.Kirkpatrick: Solvable Model of Spin Glass. Phys.Rev. Lett. 1975; 35: 17921796. 2. S.Kirkpatrick, D.Sherrington: InfiniteRanged Model of SpinGlasses. Phys.Rev. 1978; B17: 4384. 3. G. Parisi: The order parameter for spin glasses: A function on the interval 01. J. Phys. 1980; A13: 11011112. 4. S.F. Edwards and P.W. Anderson: Theory of spin glasses. J.Phys. F. Metal. Phys. 1975; 5: 965974. Main articles about the spinglass models with nearest neighbor interaction 1. F.Matsubara and M.Sakata: Theory of Random Magnetic Mixture. III. GlassLike phase. Progr.Theor.Phys. 1976; 55: 672 2. M. Sasaki, Sh. Katsura. The Distribution Function of the Effective Field of the Ising Spin Glass on the Bethe Lattice for the Coordination Number z=4,5,6. Physica 1989; A155: 206 220. 3. M. Mezard, G. Parisi. The Bethe Lattice Spin Glass Revisited. Eur.Phys. 2001; B20, 217233. condmat/0009418 v1 27 Sep 2000. 4. F. Liers, M. Palassini, A.K. Hartmann, M. Junger.Ground State of the Bethelattice Spin Glass and Running Time of an exact optimization. Phys. Rev. 2003; B68: 094406 (9 pages). Selected articles on proton glasses 1. R. Pirc, B. Tadic, R. Blinc: Randomfield smearing of the protonglass transition Phys. Rev. B. 1987; 36: №16, 86078615. 2. Z. Trybula, V.H. Schmidt, J.E. Drumheller. Coexistence of protonglass and ferroelectric order in Rb1x(NH4)xH2AsO4 //Phys. Rev. B 43, No.1, p. 1287, (1991). 3. S.I.Sorokov, R.R.Levitskii, A.S.Vdovych. Spinglass model with essential shortrange competing interactions. Condens. Matter Phys. 2005, v.8, N 3(43), p.603622. Personal webpage 