Low temperature thermodynamics of multi-flavored hardcore bosons by the Brückner approach

Abstract

Dynamic correlations of quantum magnets provide valuable information. However, especially at finite temperature, many observations, e.g., by inelastic neutron scattering experiments, are not yet quantitatively understood. Generically, the elementary excitations of gapped quantum magnets are hardcore bosons because no two of them can occupy the same site. The previously introduced diagrammatic Brückner approach dealt with hardcore bosons of a single flavor at finite temperature. Here, this approach is extended to hardcore bosons of several kinds (flavors). The approach based on ladder diagrams is gauged with so far unknown rigorous results for the thermal occupation function of multiflavored hardcore bosons in one dimension with nearest-neighbor hopping. For low temperatures, it works very well. Furthermore, we study to which extent the approach is a conserving approximation. Empirical evidence shows that this is true only in the single-flavor case.

12 pages, 12 figures

References in corpus (10)

• Bose-Einstein Condensation in Magnetic Insulators
• Finite-temperature lineshapes in gapped quantum spin chains
• Scattering particles in quantum spin chains
• Low-Temperature Dynamical Structure Factor of the Two-Leg Spin-1/2 Heisenberg Ladder
• Finite Temperature Dynamics of the Spin 1/2 Bond Alternating Heisenberg Antiferromagnetic Chain
• Finite-temperature scaling of spin correlations in an experimental realization of the one-dimensional Ising quantum critical point
• Hard-core boson approach to the spin-1/2 triangular-lattice antiferromagnet Cs${}_2$CuCl${}_4$ at finite temperatures in magnetic fields higher than the saturation field
• Vertex corrections in the dynamic structure factor in spin ladders
• Spin excitations in the two-dimensional strongly coupled dimer system malachite
• Effective One-Dimensional Models from Matrix Product States

Cited by in corpus (7)

• Dynamical properties of a driven dissipative dimerized $S=1/2$ chain
• Magnetic excitations in the S = 1/2 antiferromagnetic-ferromagnetic chain compound BaCu2V2O8 at zero and finite temperature
• Multi-triplet bound states and finite-temperature dynamics in highly frustrated quantum spin ladders
• Finite temperature dynamical correlations for the dimerized spin-1/2 chain
• Time-dependent correlations in quantum magnets at finite temperature
• Low-energy spin excitations in field-induced phases of the spin-ladder antiferromagnet BiCu${}_2$PO${}_6$
• Effects of Interactions on Dynamic Correlations of Hard-Core Bosons at Finite Temperatures