TAILIEUCHUNG - Magnetic properties of quantum square lattice heisenberg antiferromagnet with frustration: An auxiliary fermion approach

We study the magnetic ordered phases of the spin-1/2 Heisenberg antiferromagnetic model with nearest J1 and next nearest neighbor J2 exchange interactions on the square lattice using fermionic representation of spin operators within Popov-Fedotov unphysical states are eliminated on each site by introducing an imaginary chemical potential. Working in local coordinate system for every site we investigate the different ordered phases in dependence on exchange parameters. At T = 0 we recover the conventional spin wave results. | Communications in Physics, Vol. 24, No. 3 (2014), pp. 193-200 DOI: MAGNETIC PROPERTIES OF QUANTUM SQUARE LATTICE HEISENBERG ANTIFERROMAGNET WITH FRUSTRATION: AN AUXILIARY FERMION APPROACH PHAM THI THANH NGA Water Resources University, 175 Tay Son, Hanoi NGUYEN TOAN THANG Institute of Physics, Vietnam Academy of Science and Technology E-mail: nga ptt@ Received 17 May 2014 Accepted for publication 22 July 2014 Abstract. We study the magnetic ordered phases of the spin-1/2 Heisenberg antiferromagnetic model with nearest J1 and next nearest neighbor J2 exchange interactions on the square lattice using fermionic representation of spin operators within Popov-Fedotov unphysical states are eliminated on each site by introducing an imaginary chemical potential. Working in local coordinate system for every site we investigate the different ordered phases in dependence on exchange parameters. At T = 0 we recover the conventional spin wave results. Keywords: functional integral, antiferromagnetic Heisenberg model, square lattice, frustration. I. INTRODUCTION Recently, geometric frustration in spin systems has attracted a lot of interest. The discovery of the ceramic high-temperature superconductivity has stimulated great interests in studying possible novel phases in frustrated quantum antiferromagnet on two-dimensional lattices [1]. The square lattice antiferromagnetic Heisenberg model with frustration introduced by next nearest neighbor exchange interaction has been investigated by many authors with various approximate and numerical methods: the spin wave theory [2, 3]; small lattice calculations [4]; the Schwinger boson theory [5]; series expansion [6] and other methods [7]. However, there is a considerable discrepancy between the results of above works, in particular for the ground state properties of the system. The reason is the complex nature of spin operators. The non - canonical commutation relations of spin .

• Vật lý
• Communications in Physics
• Quantum square lattice heisenberg antiferromagnet with frustration
• An auxiliary fermion approach
• Antiferromagnetic Heisenberg model
• Popov Fedotov approach
• Challenges in particle physics and 3 3 1 models
• Particle physics and 3 3 1 models
• Particle theory and field theory models
• The early Universe
• Non standard model neutrino
• The 3 3 1 models in current particle physics
• Current particle physics
• The Standard Model
• The electro weak
• The process of e+e − → µ +µ
• The randall sundrum model
• Supersymmetric model and unparticle physics
• Randall Sundrum model
• Supersymmetric and Unparticle physics
• Handbook of mechanical engineering
• mechanical engineering
• mechanical design
• mechanical materials
• alloy materials
• Energy Technology
• Compact device model for nanoparticle organic memory transistor’s characterization
• Nanoparticle organic memory transistor
• Hybrid integrated circuit
• Hybrid NOMFET CMOS neuromorphic computing circuit
• Microdroplet in T junction microfluidic system
• Experiment and simulation
• T junction microfluidic system
• Lateral channel decrease
• Optical bistability in three level eit configurations
• Three level eit configurations
• Effects of atomic coherence
• OB in V type system
• Dynamical codimension 2 brane
• Warped six dimensional space time
• Codimension 2 brane
• Warped 6D bulk space time
• Coherent diffractive imaging using table top high harmonic generation
• Coherent diffractive imaging
• Table top high harmonic generation
• Growth of single crystals of methylammonium lead mixedhalide perovskites
• Growth of single crystals
• Methylammonium lead mixedhalide perovskites
• Organo lead mixed halide perovskites
• Tuning electronic transport properties
• Zigzag graphene nanoribbons
• Stone wales defect
• Negative differential resistance
• Asymmetric and symmetric ZGNRs
• The transmembrane italian mutant
• The temperature replica exchange molecular dynamics
• TmE22K trimer structure
• Kinetics probably yield
• Electrochemical fabrication of hybrid plasmonic dielectric nanomaterials
• Gold diamond clusters
• Hybrid plasmonic dielectric nanomaterials
• hybrid plasmonic dielectric materials
• Electron microscopy and optical characterization
• X ray absorption fine structure
• BCC crystals studied
• High order expanded debye waller factors
• Debye Waller factors
• Temperature dependent cumulants
• Nonlinear optics in waveguide arrays and photonic nanowires
• Nonlinear optics in waveguide arrays
• Diffractive resonant radiation
• The spectral body of the pulse
• Radion production in high energy photon collisions
• Solve the hierarchy problem
• Energy loss function for lead
• Local field effect
• Adiabatic local density approximation
• First principles calculations shows good agreemen
• Perturbative nonlinear optics in the extreme ultraviolet region
• The extreme ultraviolet region
• Different extreme ultraviole
• Multiple cycle pulses
• Thermodynamic hadron quark phase transition
• Chiral nuclear matter to quark gluon plasma
• Quark gluon plasma
• Equilibrium properties near critical points
• Phase transitions and critical phenomena
• Chirality of light in hybrid modes
• Vacuum clad ultrathin optical fibers
• Ultrathin optical fibers
• Superchiral outside the fiber
• An advanced logarithmic phase mask for extending depth
• Field of hybrid optical systems
• Modulation transfer functions
• Hybrid imaging system
• Hyperon W production in pp collisions at energy 8 tev
• Investigate the hadronization process
• The RICH detector
• The nominal value
• Profile of the 12co(3 2) emission line detected
• The debris disc of 49 ceti
• Require relatively violent
• Generate secondary gas
• Synthesis and optical characterization
• Building block plasmonic gold nanostructures
• Random nano islands
• Random Au nano islands
• Electrochemical performance of Na0
• 44Mno2 synthesized
• Hydrothermal method using as a cathode material
• Sodium ion batteries
• Sodium ion battery
• Stable during cycling