Phase structure of the anisotropic antiferromagnetic Heisenberg model on a layered triangular lattice: Spiral state and deconfined spin liquid

Journal Article · Tue Feb 01 00:00:00 EST 2011 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.83.054414· OSTI ID:21538111

Nakane, Kazuya; Kamijo, Takeshi; Ichinose, Ikuo ^[1]

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1. Department of Applied Physics, Nagoya Institute of Technology, Nagoya 466-8555 Japan (Japan)

In the present paper, we study a spin-1/2 antiferromagnetic (AF) Heisenberg model on layered anisotropic triangular lattice and obtain its phase structure. We use the Schwinger bosons for representing spin operators and also a coherent-state path integral for calculating physical quantities. Finite-temperature properties of the system are investigated by means of the numerical Monte-Carlo simulations. A detailed phase diagram of the system is obtained by calculating internal energy, specific heat, spin correlation functions, etc. There are AF Neel, paramagnetic, and spiral states. Turning on the plaquette term (i.e., the Maxwell term on a lattice) of an emergent U(1) gauge field that flips a pair of parallel spin-singlet bonds, we found that there appears a phase that is regarded as a deconfined spin-liquid state, though 'transition' to this phase from the paramagnetic phase is not of second order but a crossover. In that phase, the emergent gauge boson is a physical gapless excitation coupled with spinons. These results support our previous study on an AF Heisenberg model on a triangular lattice at vanishing temperature.

• OSTI ID: 21538111
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Vol. 83, Issue 5; Other Information: DOI: 10.1103/PhysRevB.83.054414; (c) 2011 American Institute of Physics; ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANISOTROPY
ANTIFERROMAGNETISM
BOSONS
COMPUTERIZED SIMULATION
CORRELATION FUNCTIONS
EXCITATION
GAUGE INVARIANCE
HEISENBERG MODEL
MONTE CARLO METHOD
NEEL TEMPERATURE
PARAMAGNETISM
PHASE DIAGRAMS
SPECIFIC HEAT
SPIN
TRIANGULAR CONFIGURATION
ANGULAR MOMENTUM
CALCULATION METHODS
CONFIGURATION
CRYSTAL MODELS
DIAGRAMS
ENERGY-LEVEL TRANSITIONS
FUNCTIONS
INFORMATION
INVARIANCE PRINCIPLES
MAGNETISM
MATHEMATICAL MODELS
PARTICLE PROPERTIES
PHYSICAL PROPERTIES
SIMULATION
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE