Coefficients of bosonized dimer operators in spin-1/2 XXZ chains and their applications
arXiv:1005.1704 · doi:10.1103/PhysRevB.82.214420
Abstract
Comparing numerically evaluated excitation gaps of dimerized spin-1/2 XXZ chains with the gap formula for the low-energy effective sine-Gordon theory, we determine coefficients d_xy and d_z of bosonized dimerization operators in spin-1/2 XXZ chains, which are defined as (-1)j(S^x_j S^x_j+1 +S^y_j S^y_j+1) = d_xy sin(\sqrt{4pi}phi(x))+ ... and (-1)^j S^z_j S^z_j+1 = d_z sin(sqrt{4pi}phi(x)) + .... We also calculate the coefficients of both spin and dimer operators for the spin-1/2 Heisenberg antiferromagnetic chain with a nearest-neighbor coupling J and a next-nearest-neighbor coupling J2 = 0.2411J. As applications of these coefficients, we present ground-state phase diagrams of dimerized spin chains in a magnetic field and antiferromagnetic spin ladders with a four-spin interaction. The optical conductivity and electric polarization of one-dimensional Mott insulators with Peierls instability are also evaluated quantitatively.
15 pages (2 column), 13 figures, Revtex, published version
References in corpus (26)
- Bosonization and Strongly Correlated Systems
- Exact expectation values of local fields in quantum sine-Gordon model
- Antiferromagnetic spin ladders: crossover between spin S = 1/2 and S = 1 chains
- Theory of the field-induced gap in 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
- Magnetization Plateaux in N-Leg Spin Ladders
- Spinons and triplons in spatially anisotropic frustrated antiferromagnets
- Low energy effective Hamiltonian for the XXZ spin chain
- One-dimensional spin-liquid without magnon excitations
- Ordering in spatially anisotropic triangular antiferromagnets
- Long-distance asymptotics of spin-spin correlation functions for the XXZ spin chain
- Dimerized phase and transitions in a spatially anisotropic square lattice antiferromagnet
- Criticality in self-dual sine-Gordon models
- Phase Transitions Between Topologically Distinct Gapped Phases in Isotropic Spin Ladders
- Non-Haldane Spin Liquid Models with Exact Ground States
- Exact Correlation Amplitude for the S=1/2 Heisenberg Antiferromagnetic Chain
- Correlation Amplitudes for the spin-1/2 XXZ chain in a magnetic field
- Correlation amplitude for the XXZ spin chain in the disordered regime
- Dynamical Magnetic Susceptibilities in Cu Benzoate
- Correlation amplitude for S=1/2 XXZ spin chain in the critical region
- Identification of topologically different valence bond states in spin ladders
- DMRG Study of Critical Behavior of the Spin-1/2 Alternating Heisenberg Chain
- Electro-spinon in one-dimensional Mott insulator
- Quantitative expression of the spin gap via bosonization for a dimerized spin-1/2 chain
- Dynamical Correlations of the Spin-1/2 Heisenberg XXZ Chain in a Staggered Field
Cited by in corpus (30)
- Ground-state phase diagram of a spin-1/2 frustrated ferromagnetic XXZ chain: Haldane dimer phase and gapped/gapless chiral phases
- Nonequilibrium thermal transport and its relation to linear response
- Reducing the numerical effort of finite-temperature density matrix renormalization group transport calculations
- High-harmonic generation by electric polarization, spin current, and magnetization
- Electron Spin Resonance in Quasi-One-Dimensional Quantum Antiferromagnets: Relevance of Weak Interchain Interactions
- Dimer correlation amplitudes and dimer excitation gap in spin-1/2 XXZ and Heisenberg chains
- Triplon current generation in solids
- Gapped ground state in the zigzag pseudospin-1/2 quantum antiferromagnetic chain compound PrTiNbO6
- Long-range spin chirality dimer order in the Heisenberg chain with modulated Dzyaloshinskii-Moriya interactions
- Continuous phase transition between Neel and valence bond solid phases in a J-Q-like spin ladder system
- Control of Magnetic and Topological Orders with a DC Electric Field
- Competing phases in spin ladders with ring exchange and frustration
- Topological transition between competing orders in quantum spin chains
- Symmetry-protected topological phases and competing orders in a spin-1/2 XXZ ladder with a four-spin interaction
- Magnetic phase diagram of a spin-1/2 XXZ chain with modulated Dzyaloshinskii-Moriya interaction
- Ground-state phase diagram of a spin-1/2 frustrated XXZ ladder
- Polarization amplitude near quantum critical points
- Theory of Raman Scattering in One-Dimensional Quantum Spin-1/2 Antiferromagnets
- Effects of a space modulation on the behavior of a 1D alternating Heisenberg spin-1/2 model
- Control of superexchange interactions with DC electric fields
- Quantum criticality in an asymmetric three-leg spin tube: A strong rung-coupling perspective
- Field-induced dimer orders in quantum spin chains
- Spin Seebeck Effect of Triangular-lattice Spin Supersolid
- Topological phase and lattice structures in spin chain models
- Symmetry, topology, duality, chirality, and criticality in a spin-1/2 XXZ ladder with a four-spin interaction
- Entanglement flow in the Kane-Fisher quantum impurity problem
- Mass ratio of elementary excitations in frustrated antiferromagnetic chains with dimerization
- Phase diagram of a spin-1/2 Heisenberg ladder with a chirality-chirality interaction
- Emergent SU(3) symmetry in a four leg spin tube
- Quantized edge magnetizations and their symmetry protection in one-dimensional quantum spin systems