An Extended Scaling Scheme for Critically Divergent Quantities in Ferromagnets and Spin Glasses

Abstract

From a consideration of high temperature series expansions in ferromagnets and in spin glasses, we propose an extended scaling scaling scheme involving a set of scaling formulae which express to leading order the temperature (T) and the system size (L) dependences of thermodynamic observables over a much wider range of T than the corresponding one in the conventional scaling scheme. The extended scaling, illustrated by data on the canonical 2d ferromagnet and on the 3d binomial Ising spin glass, leads to consistency for the estimates of critical parameters obtained from scaling analyses for different observables.

4+epsilon pages, 6 figures. Published version

References in corpus (10)

• Critical Behavior of the Three-Dimensional Ising Spin Glass
• Universality in three-dimensional Ising spin glasses: A Monte Carlo study
• Universal Finite Size Scaling Functions in the 3D Ising Spin Glass
• Phase Transition in the Three-Dimensional $\pm J$ Ising Spin Glass
• N-vector spin models on the sc and the bcc lattices: a study of the critical behavior of the susceptibility and of the correlation length by high temperature series extended to order beta^{21}
• Universal Amplitude Ratios in the Critical Two-Dimensional Ising Model on a Torus
• Critical universality and hyperscaling revisited for Ising models of general spin using extended high-temperature series
• Irrelevant operators in the two-dimensional Ising model
• A library of extended high-temperature expansions of basic observables for the spin S Ising models on two- and three-dimensional lattices
• Test of Universality in the Ising Spin Glass Using High Temperature Graph Expansion

Cited by in corpus (41)

• Bond orientational ordering in liquids: Towards a unified description of water-like anomalies, liquid-liquid transition, glass transition, and crystallization
• Spin-glass behavior in Ni-doped La1:85Sr0:15CuO4
• The critical behavior of three-dimensional Ising spin glass models
• Critical parameters of the three-dimensional Ising spin glass
• Universality in volume law entanglement of pure quantum states
• Chirality scenario of the spin-glass ordering
• Critical behavior of the three-dimensional bond-diluted Ising spin glass: Finite-size scaling functions and Universality
• Monte Carlo studies of the chiral and spin orderings of the three-dimensional Heisenberg spin glass
• Spin Glass Transition at Nonzero Temperature in a Disordered Dipolar Ising System: The Case of LiHoxY{1-x}F4
• The critical behavior of 3D Ising glass models: universality and scaling corrections
• Ferromagnetic-glassy transitions in three-dimensional Ising spin glasses
• The high-temperature expansions of the higher susceptibilities for the Ising model in general dimension d
• Heisenberg Spin Glass Experiments and the Chiral Ordering Scenario
• Existence of a Thermodynamic Spin-Glass Phase in the Zero-Concentration Limit of Anisotropic Dipolar Systems
• One-dimensional infinite component vector spin glass with long-range interactions
• Universality and universal finite-size scaling functions in four-dimensional Ising spin glasses
• Ab initio study of atomic ordering and spin-glass transition in dilute CuMn alloys
• Extended Scaling for Ferromagnets
• Extended Scaling in High Dimensions
• Critical behavior of the three- and ten-state short-range Potts glass: A Monte Carlo study
• Critical Behavior of the Three-Dimensional Ising model with Anisotropic Bond Randomness at the Ferromagnetic-Paramagnetic Transition Line
• An extended scaling analysis of the S=1/2 Ising ferromagnet on the simple cubic lattice
• Dynamic scaling analysis of the long-range RKKY Ising spin glass Dy${}_x$Y${}_{1-x}$Ru${}_2$Si${}_2$
• Extended Scaling for the high dimension and square lattice Ising Ferromagnets
• Nonequilibrium dynamic-correlation-length scaling method
• Monte Carlo simulations of the three-dimensional XY spin glass focusing on the chiral and the spin order
• The bimodal and Gaussian Ising Spin Glasses in dimension two revisited
• Critical behavior and universality in Levy spin glasses
• From measurements to inferences of physical quantities in numerical simulations
• The Ising Spin Glass in dimension four
• Extended scaling for ferromagnetic Ising models with zero-temperature transitions
• Window measurements of simulations in random systems
• The Ising universality class in dimension three: corrections to scaling
• Ordering of the Heisenberg spin glass in four dimensions
• Hyperscaling violation in Ising Spin Glasses
• Typical versus average helicity modulus in the three-dimensional gauge glass: Understanding the vortex glass phase
• Ising Spin Glasses in dimension five
• Ising spin glasses in dimension two; universality and non-universality
• Large-order aspects of the delta-expansion in low-dimensional Ising models
• Changing the universality class of the three-dimensional Edwards-Anderson spin-glass model by selective bond dilution
• Hyperscaling breakdown and Ising Spin Glasses: the Binder cumulant