Classical and quantum two-dimensional anisotropic Heisenberg antiferromagnets

Abstract

The classical and the quantum, spin $S=1/2, versions of the uniaxially anisotropic Heisenberg antiferromagnet on a square lattice in a field parallel to the easy axis are studied using Monte Carlo techniques. For the classical version, attention is drawn to biconical structures and fluctuations at low temperatures in the transition region between the antiferromagnetic and spin-flop phases. For the quantum version, the previously proposed scenario of a first-order transition between the antiferromagnetic and spin-flop phases with a critical endpoint and a tricritical point is scrutinized.

5 pages, 7 figures, accepted by Phys. Rev. B

References in corpus (3)

• Two-dimensional anisotropic Heisenberg antiferromagnet in a field
• Hidden zero-temperature bicritical point in the two-dimensional anisotropic Heisenberg model: Monte Carlo simulations and proper finite-size scaling
• Quenched charge disorder in CuO2 spin chains: Experimental and numerical studies

Cited by in corpus (20)

• Quantum Phase Diagram of the Triangular-Lattice XXZ Model in a Magnetic Field
• Excitations and quasi-one-dimensionality in field-induced nematic and spin density wave states
• Spin-1 Heisenberg antiferromagnetic chain with exchange and single-ion anisotropies
• Uniaxially anisotropic antiferromagnets in a field on a square lattice
• Field-Induced Quantum Phases in Frustrated Spin-Dimer Model: A Sign-Problem-Free Quantum Monte Carlo Study
• Evidence for a bicritical point in the XXZ Heisenberg antiferromagnet on a simple cubic lattice
• Heisenberg antiferromagnets with uniaxial exchange and cubic anisotropies in a field
• Frustrated honeycomb-lattice bilayer quantum antiferromagnet in a magnetic field: Unconventional phase transitions in a two-dimensional isotropic Heisenberg model
• Biconical structures in two-dimensional anisotropic Heisenberg antiferromagnets
• Phases of the spin-1/2 Heisenberg antiferromagnet on the diamond-decorated square lattice in a magnetic field
• Quantum Heisenberg antiferromagnetic chains with exchange and single--ion anisotropies
• Emergent criticality in fully frustrated quantum magnets
• Green's function theory for spin-1/2 ferromagnets with an easy-plane exchange anisotropy
• Frustrated honeycomb-lattice bilayer quantum antiferromagnet in a magnetic field
• Anisotropic XY antiferromagnets in a field
• Smeared spin-flop transition in random antiferromagnetic Ising chain
• Heisenberg antiferromagnets with exchange and cubic anisotropies
• The anisotropic Heisenberg model close to the Ising limit: triangular lattice vs. effective models
• Origin of the classical magnetization discontinuities of the dodecahedron
• Semi-phenomenological analysis of neutron scattering results for quasi-two dimensional quantum anti-ferromagnet