Critical behavior and the Neel temperature of quantum quasi-two-dimensional Heisenberg antiferromagnets

Abstract

The nonlinear sigma-model and its generalization on N-component spins, the O(N) model, are considered to describe thermodynamics of a quantum quasi-two-dimensional (quasi-2D) Heisenberg antiferromagnet. A comparison with standard spin-wave approaches is performed. The sublattice magnetization, Neel temperature and spin correlation function are calculated to first order of the 1/N-expansion. A description of crossover from a 2D-like to 3D regime of sublattice magnetization temperature dependence is obtained. The values of the critical exponents derived are β=0.36, η=0.09. An account of the corrections to the standard logarithmic term of the spin-wave theory modifies considerably the value of the Neel temperature. The thermodynamic quantities calculated are universal functions of the renormalized interlayer coupling parameter. The renormalization of interlayer coupling parameter turns out to be considerably temperature dependent. A good agreement with experimental data on La2CuO4 is obtained. The application of the approach used to the case of a ferromagnet is discussed.

15 pages, RevTeX, 1 figure, Phys. Rev. B, to be published

References in corpus (1)

• On the confinement of spinons in the $C{P}^{M-1}$ model

Cited by in corpus (26)

• Neel Temperature of Quasi-Low-Dimensional Heisenberg Antiferromagnets
• Coupling of magnetic order to planar Bi electrons in the anisotropic Dirac metals AMnBi2 (A = Sr, Ca)
• Ordering and multiple phase transitions in ultra-thin nickelate superlattices
• Superconductivity in high-$T_c$ and related strongly correlated systems from variational perspective: Beyond mean field theory
• Hindered magnetic order from mixed dimensionalities in CuP${}_2$O${}_6$
• Quantum criticality in the two-dimensional periodic Anderson model
• Validity and limitations of the superexchange model for the magnetic properties of Sr2IrO4 and Ba2IrO4 mediated by the strong spin-orbit coupling
• Green's function theory of quasi-two-dimensional spin-half Heisenberg ferromagnets: stacked square versus stacked kagomé lattice
• Spin-wave thermodynamics of square-lattice antiferromagnets revisited
• Orthogonal spin arrangement as possible ground state of three - dimensional Shastry - Sutherland network in Ba3Cu3In4O12
• The route to magnetic order in the spin-$1/2$ kagome Heisenberg antiferromagnet: The role of interlayer coupling
• Electronic self-energy and triplet pairing fluctuations in the vicinity of a ferromagnetic instability in 2D systems: the quasistatic approach
• Unconventional magnetism and electronic state in frustrated layered system PdCrO${}_2$
• Néel temperature and reentrant H-T phase diagram of quasi-2D frustrated magnets
• Hybridization and spin-orbit coupling effects in quasi-one-dimensional spin-1/2 magnet Ba3Cu3Sc4O12
• Magnetic properties of lightly doped antiferromagnetic YBa${}_2$Cu${}_3$O${}_y$
• Scaling relations in quasi-two-dimensional Heisenberg antiferromagnet
• Goldstone Boson Interaction in D=2+1 (Pseudo-)Lorentz-Invariant Systems with a Spontaneously Broken Internal Rotation Symmetry
• Universal Reduction of Effective Coordination Number in the Quasi-One-Dimensional Ising Model
• Universal Scaling Relations in Strongly Anisotropic Materials
• Longitudinal and transverse static spin fluctuations in layered ferro- and antiferromagnets
• Quasi-2D $J_1$-$J_2$ Antiferromagnet $Z{n}_{2}VO(P{O}_4{)}_2$ and its $Ti$-substituted Derivative - A Spin-wave Analysis
• Universal properties of frustrated spin systems: 1/N-expansion and renormalization group approaches
• The non-analytic momentum dependence of spin susceptibility of Heisenberg magnets in paramagnetic phase and its effect on critical exponents
• Antiferromagnetic phase diagram of the cuprate superconductors
• Self-consistent renormalized spin-wave theory of magnetic and topological transitions in two-dimensional honeycomb ferromagnets