Effects of Interactions on Dynamic Correlations of Hard-Core Bosons at Finite Temperatures
arXiv:1707.03722 · doi:10.1103/PhysRevB.96.115150
Abstract
We investigate how dynamic correlations of hard-core bosonic excitation at finite temperature are affected by additional interactions besides the hard-core repulsion which prevents them from occupying the same site. We focus especially on dimerized spin systems, where these additional interactions between the elementary excitations, triplons, lead to the formation of bound states, relevant for the correct description of scattering processes. In order to include these effects quantitatively we extend the previously developed Brückner approach to include also nearest-neighbor (NN) and next-nearest neighbor (NNN) interactions correctly in a low-temperature expansion. This leads to the extension of the scalar Bethe-Salpeter equation to a matrix-valued equation. Exemplarily, we consider the Heisenberg spin ladder to illustrate the significance of the additional interactions on the spectral functions at finite temperature which are proportional to inelastic neutron scattering rates.
arXiv comment12 pages + appendix, 12 figures
References in corpus (39)
- Functional renormalization group approach to correlated fermion systems
- Continuous excitations of the triangular-lattice quantum spin liquid YbMgGaO4
- Perturbation Theory by Flow Equations: Dimerized and Frustrated S=1/2 Chain
- Multispinon continua at zero and finite temperature in a near-ideal Heisenberg chain
- Magnetic excitation spectrum of dimerized antiferromagnetic chains
- Novel approach to description of spin liquid phases in low-dimensional quantum antiferromagnets
- Excitations in one-dimensional S=1/2 quantum antiferromagnets
- One- and Two-Triplon Spectra of a Cuprate Ladder
- The Structure of Operators in Effective Particle-Conserving Models
- Observation of two-magnon bound states in the two-leg ladders of (Ca,La)14Cu24O41
- Finite-temperature lineshapes in gapped quantum spin chains
- Elementary excitations in gapped quantum spin systems
- Fractional and Integer Excitations in Quantum Antiferromagnetic Spin 1/2 Ladders
- Strong-Coupling Expansions for Multiparticle Excitations: Continuum and Bound States
- Spectral Properties of Magnetic Excitations in Cuprate Two-Leg Ladder Systems
- Dynamic correlations of antiferromagnetic spin-1/2 XXZ chains at arbitrary temperature from complete diagonalization
- Linked Cluster Series Expansions for Two-Particle Bound States
- Finite Temperature Dynamical Correlations in Massive Integrable Quantum Field Theories
- Quantum Statistics of Interacting Dimer Spin Systems
- Scattering particles in quantum spin chains
- High Order Perturbation Theory for Spectral Densities of Multi-Particle Excitations: S=1/2 Two-Leg Heisenberg Ladder
- Enhanced Perturbative Continuous Unitary Transformations
- Matrix product state formulation of frequency-space dynamics at finite temperatures
- Adapted continuous unitary transformation to treat systems with quasiparticles of finite lifetime
- Unified Quantum Mechanical Picture for Confined Spinons in Dimerized and Frustrated Spin S=1/2 Chains
- Finite Temperature Dynamical Structure Factor of Alternating Heisenberg Chains
- Low-Temperature Dynamical Structure Factor of the Two-Leg Spin-1/2 Heisenberg Ladder
- Finite-Temperature Dynamics and Thermal Intraband Magnon Scattering in Haldane Spin-One Chains
- Asymmetric Thermal Lineshape Broadening in a Gapped 3-Dimensional Antiferromagnet - Evidence for Strong Correlations at Finite Temperature
- Magnetic excitations in the S = 1/2 antiferromagnetic-ferromagnetic chain compound BaCu2V2O8 at zero and finite temperature
- Finite Temperature Dynamics of the Spin 1/2 Bond Alternating Heisenberg Antiferromagnetic Chain
- Finite temperature line-shapes of hard-core bosons in quantum magnets: A diagrammatic approach tested in one dimension
- Multi-Particle Spectral Properties in the Transverse Field Ising Model by Continuous Unitary Transformations
- Multi-triplet bound states and finite-temperature dynamics in highly frustrated quantum spin ladders
- Hard-core boson approach to the spin-1/2 triangular-lattice antiferromagnet CsCuCl at finite temperatures in magnetic fields higher than the saturation field
- Vertex corrections in the dynamic structure factor in spin ladders
- Low temperature thermodynamics of multi-flavored hardcore bosons by the Brückner approach
- Time-dependent correlations in quantum magnets at finite temperature
- Effective One-Dimensional Models from Matrix Product States