Dynamical generation of a gauge symmetry in the Double-Exchange model

Abstract

It is shown that a bosonic formulation of the double-exchange model, one of the classical models for magnetism, generates dynamically a gauge-invariant phase in a finite region of the phase diagram. We use analytical methods, Monte Carlo simulations and Finite-Size Scaling analysis. We study the transition line between that region and the paramagnetic phase. The numerical results show that this transition line belongs to the Universality Class of the Antiferromagnetic RP(2) model. The fact that one can define a Universality Class for the Antiferromagnetic RP(2) model, different from the one of the O(N) models, is puzzling and somehow contradicts naive expectations about Universality.

arXiv comment13 pages, 3 figures

References in corpus (21)

• Colossal Magnetoresistant Materials: The Key Role of Phase Separation
• Critical Phenomena and Renormalization-Group Theory
• Colossal Effects in Transition Metal Oxides Caused by Intrinsic Inhomogeneities
• Quantum Criticality: competing ground states in low dimensions
• Finite size and temperature effects in the AF Heisenberg model
• Scaling corrections: site-percolation and Ising model in three dimensions
• Finite size effects on measures of critical exponents in d=3 O(N) models
• Eliminating leading corrections to scaling in the 3-dimensional O(N)-symmetric phi^4 model: N=3 and 4
• Heisenberg frustrated magnets: a nonperturbative approach
• Hybrid Monte Carlo algorithm for the Double Exchange Model
• New Universality Class in three dimensions: the Antiferromagnetic $R{P}^2$ model
• A Renormalization Group Study of Helimagnets in D=2+EPSILON Dimensions
• Monte Carlo renormalization group study of the Heisenberg and XY antiferromagnet on the stacked triangular lattice and the chiral ${\varphi }^4$ model
• Critical properties of the Antiferromagnetic \RP2$ model in three dimensions
• The interplay between double exchange, super-exchange, and Lifshitz localization in doped manganites
• Monte Carlo determination of the phase diagram of the double-exchange model
• Discontinuous transitions in double exchange materials
• Critical structure factors of bilinear fields in O(N)-vector models
• Chiral exponents in frustrated spin models with noncollinear ordering
• Non-gauge fixing approach to chiral gauge theories using staggered fermions
• Simulations of a classical spin system with competing superexchange and double-exchange interactions

Cited by in corpus (3)

• Criticality of O(N) symmetric models in the presence of discrete gauge symmetries
• Numerical study of the enlarged O(5) symmetry of the 3-D antiferromagnetic RP2 spin model
• Phase diagram of the (bosonic) Double-Exchange Model