Low-energy properties of anisotropic two-dimensional spin-1/2 Heisenberg models in staggered magnetic fields

Abstract

We present a systematic study of the anisotropic spin-1/2 Heisenberg model in staggered magnetic fields in two dimensions (2D). To mimic real materials, we consider a system of coupled, antiferromagnetic chains, whose interchain interaction can be either ferro- or antiferromagnetic. When the staggered field is commensurate with the magnetic interactions, an energy gap opens immediately and follows a power law as a function of the applied field, similar to the situation in 1D. When the field competes with the interactions, a quantum phase transition (QPT) occurs from a gapless, magnetically ordered phase at low fields to a gapped, disordered regime. We use a continuous-time Monte Carlo method to compute the staggered moment of the ordered phases and the spin gap of the disordered phases. We deduce the phase diagrams as functions of the anisotropy ratio and the applied field, and calculate the scaling behavior of the models in both quantities. We show that in the competitive case, the staggered field acts to maintain a regime of quasi-1D behavior around the QPT, and we discuss as a consequence the nature of the crossover from 1D to 2D physics.

References in corpus (30)

• Dynamics of coupled quantum spin chains
• Theory of the field-induced gap in $S=1/2$ antiferromagnetic chains
• On the Field-Induced Gap in Cu Benzoate and Other S=1/2 Antiferromagnets
• Direct Observation of Field-Induced Incommensurate Fluctuations in a One-Dimensional S=1/2 Antiferromagnet
• Field- and pressure-induced magnetic quantum phase transitions in TlCuCl_3
• Electron Spin Resonance in S=1/2 antiferromagnetic chains
• ESR investigation on the Breather mode and the Spinon-Breather dynamical crossover in Cu Benzoate
• Multi-Chain Mean-Field Theory of Quasi One-Dimensional Quantum Spin Systems
• Exact Quantum Monte Carlo Process for the Statistics of Discrete Systems
• Excitation hierarchy of the quantum sine-Gordon spin chain in strong magnetic field
• Effects of the Dzyaloshinskii-Moriya interaction on low energy magnetic excitations in copper benzoate
• Dynamical Magnetic Susceptibilities in Cu Benzoate
• Bound spinons in an antiferromagnetic S=1/2 chain with a staggered field
• Sine-Gordon low-energy effective theory for Copper Benzoate
• Uniform and staggered magnetizations induced by Dzyaloshinskii-Moriya interactions in isolated and coupled spin 1/2 dimers in a magnetic field
• Dynamical Structure Factor in Cu Benzoate and other spin-1/2 antiferromagnetic chains
• Elementary excitations of S=1/2 one-dimensional antiferromagnet KCuGaF6 in magnetic field and quantum sine-Gordon model
• Electron Spin Resonance in sine-Gordon spin chains in the perturbative spinon regime
• Quantum criticalities in a two-leg antiferromagnetic S=1/2 ladder induced by a staggered magnetic field
• Coupled $S=1/2$ Heisenberg antiferromagnetic chains in an effective staggered field
• Quantum spin chains in a magnetic field
• Giant spin canting in the S = 1/2 antiferromagnetic chain [CuPM(NO3)2(H2O)2]n observed by 13C-NMR
• High-field magnetization study of the S = 1/2 antiferromagnetic Heisenberg chain [PM Cu(NO${}_3$)${}_2$(H${}_2$O)${}_2$]${}_n$ with a field-induced gap
• Field-induced gap in ordered Heisenberg antiferromagnets
• Midgap States in Antiferromagnetic Heisenberg Chains with A Staggered Field
• Field-induced gap in the spin-1/2 antiferromagnetic Heisenberg chain: A density matrix renormalization group study
• Phase diagram and spin Hamiltonian of weakly-coupled anisotropic S=1/2 chains in CuCl2*2((CD3)2SO)
• Dynamical Correlations of the Spin-1/2 Heisenberg XXZ Chain in a Staggered Field
• Phase diagrams of the generalized spin-1/2 ladder under staggered field and dimerization: A renormalization group study
• Antiferromagnetic Heisenberg ladders in a staggered magnetic field

Cited by in corpus (8)

• Magnetic order and low-energy excitations in the quasi-one-dimensional antiferromagnet CuSe${}_2$O${}_5$ with staggered fields
• Quantum phase transition, universality and scaling behaviors in the spin-1/2 Heisenberg model with ferromagnetic and antiferromagnetic competing interactions on honeycomb lattice
• Efficient Quantum Simulation for Thermodynamics of Infinite-size Many-body Systems in Arbitrary Dimensions
• Thermodynamic properties of quantum sine-Gordon spin chain system KCuGaF6
• Dimensional crossover of spin chains in a transverse staggered field: an NMR study
• Quantum Monte Carlo Study on the Spin-1/2 Honeycomb Heisenberg Model with Mixing Antiferromagnetic and Ferromagnetic Interactions in External Magnetic Fields
• Novel magnetic field tuning of quantum spin excitations in a weakly coupled $S=$1/2 Heisenberg spin chain as seen from NMR
• Spin dynamics in the square-lattice cupola system Ba(TiO)Cu${}_4$(PO${}_4$)${}_4$