On the criticality of frustrated spin systems with noncollinear order

Abstract

We analyze the universal features of the critical behaviour of frustrated spin systems with noncollinear order. By means of the field theoretical renormalization group approach, we study the 3d model of a frustrated magnet and obtain pseudo-epsilon expansions for its universal order parameter marginal dimensions. These dimensions govern accessibility of the renormalization group transformation fixed points, and, hence, define the scenario of the phase transition.

arXiv comment8 pages

References in corpus (15)

• Critical Phenomena and Renormalization-Group Theory
• Nonperturbative renormalization group approach to frustrated magnets
• Heisenberg frustrated magnets: a nonperturbative approach
• The critical behavior of frustrated spin models with noncollinear order
• Phase transitions in anisotropic superconducting and magnetic systems with vector order parameters: Three-loop renormalization-group analysis
• Large-n Critical Behavior of O(n)xO(m) Spin Models
• Monte Carlo renormalization group study of the Heisenberg and XY antiferromagnet on the stacked triangular lattice and the chiral ${\varphi }^4$ model
• Chiral transitions in three-dimensional magnets and higher order ε-expansion
• XY frustrated systems: continuous exponents in discontinuous phase transitions
• Pseudo--epsilon expansion of six--loop renormalization group functions of an anisotropic cubic model
• Five-loop epsilon expansion for O(n)xO(m) spin models
• Critical thermodynamics of three-dimensional chiral model for N > 3
• Critical exponent omega at O(1/N) in O(N) x O(m) spin models
• An exact renormalization group approach to frustrated magnets
• Critical behavior of frustrated spin systems with nonplanar orderings

Cited by in corpus (24)

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• Surprises in the $O(N)$ models: nonperturbative fixed points, large $N$ limit and multi-criticality
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• Chiral spin pairing in helical magnets
• Critical behavior of two-dimensional cubic and MN models in the five-loop renormalization-group approximation
• Harmonic crossover exponents in O(n) models with the pseudo-epsilon expansion approach
• Functional renormalization group approach to non-collinear magnets
• Non-universality in the erosion of tilted landscapes
• Universality classes of three-dimensional $mn$-vector model
• Critical Exponents in Two Dimensions and Pseudo-ε Expansion
• Critical Exponents of Superfluid Helium and Pseudo-$\epsilon$ Expansion
• Fixed points in frustrated magnets revisited
• Pseudo-$\epsilon$ Expansion and Renormalized Coupling Constants at Criticality
• Pseudo-epsilon expansion and the two-dimensional Ising model
• Fisher Exponent from Pseudo-$\epsilon$ Expansion
• Marginal dimensions of the Potts model with invisible states
• Simulating frustrated magnetism with spinor Bose gases
• Critical and multicritical behavior in the Ising-Heisenberg universality class
• First-order phase transitions in spinor Bose gases and frustrated magnets
• Anisotropy of a Cubic Ferromagnet at Criticality
• Effective potential of the three-dimensional Ising model: the pseudo-$\epsilon$ expansion study
• On the new universality class in structurally disordered $n$-vector model with long-range interactions
• Marginal dimensions for multicritical phase transitions
• Universal effective couplings of the three-dimensional $n$-vector model and field theory