Bicritical and tetracritical phenomena and scaling properties of the SO(5) theory

Abstract

By large scale Monte Carlo simulations it is shown that the stable fixed point of the SO(5) theory is either bicritical or tetracritical depending on the effective interaction between the antiferromagnetism and superconductivity orders. There are no fluctuation-induced first-order transitions suggested by epsilon expansions. Bicritical and tetracritical scaling functions are derived for the first time and critical exponents are evaluated with high accuracy. Suggestions on experiments are given.

11 pages, 8 postscript figures, Revtex, revised version

References in corpus (4)

• Multicritical Phenomena of Superconductivity and Antiferromagnetism in Organic Conductor $\kappa$-(BEDT-TTF)${}_2$X
• Coexistence of Superconductivity and Antiferromagnetism in Heavy-Fermion Superconductor CeCu_{2}(Si_{1-x}Ge_{x})_{2} Probed by Cu-NQR --A Test Case for the SO(5) Theory--
• Phase Diagram of a Superconducting and Antiferromagnetic System with SO(5) Symmetry
• Critical properties of projected SO(5) models at finite temperatures

Cited by in corpus (20)

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• Multicritical behavior in models with two competing order parameters
• Comment on "Bicritical and Tetracritical Phenomena and Scaling Properties of the SO(5) Theory"
• Fractal dimension of critical curves in the $O(n)$-symmetric ${\varphi }^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models
• Instability of the O(5) multicritical behavior in the SO(5) theory of high-Tc superconductors
• Harmonic crossover exponents in O(n) models with the pseudo-epsilon expansion approach
• Global Phase Diagram of the High Tc Cuprates
• Phase diagram and dynamics of the projected SO(5)-symmetric model of high-$T_c$ superconductivity
• Hidden zero-temperature bicritical point in the two-dimensional anisotropic Heisenberg model: Monte Carlo simulations and proper finite-size scaling
• Numerical study of the enlarged O(5) symmetry of the 3-D antiferromagnetic RP2 spin model
• Biconical structures in two-dimensional anisotropic Heisenberg antiferromagnets
• Quantum corrections to the phase diagram of heavy-fermion superconductors
• Critical and multicritical behavior in the Ising-Heisenberg universality class
• Scaling properties of the projected SO(5) model in three dimensions
• The puzzle of bicriticality in the XXZ antiferromagnet
• Spontaneous breaking of finite group symmetries at all temperatures
• Conformal invariance constraints in the $O(N)$ models: a first study within the nonperturbative renormalization group
• Casimir effect in critical $\mathrm{O}(N)$ models from non-equilibrium Monte Carlo simulations