Strong-Coupling Expansions for Multiparticle Excitations: Continuum and Bound States

2000/07/11 by Simon Trebst, S. Trebst, H. Monien +5 · 6 citations
Physics and Astronomy · #Advanced Chemical Physics Studies #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.85.4373

published as Phys. Rev. Lett. 85, 4373 (2000) · 4 pages, 5 figures

arxiv created 2000/07/11 · openalex publication_date 2000/11/13 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We present a new linked cluster expansion for calculating properties of multiparticle excitation spectra to high orders. We use it to obtain the two-particle spectra for systems of coupled spin-half dimers. We find that even for weakly coupled dimers the spectrum is very rich, consisting of many bound states. The number of bound states depends on both geometry of coupling and frustration. Many of the bound states can only be seen by going to sufficiently high orders in the perturbation theory, showing the extended character of the pair attraction.

Citations

• Series Expansions for Excited States of Quantum Lattice Models
• Spin dynamics and transport in gapped one-dimensional Heisenberg antiferromagnets at nonzero temperatures
• Flow‐equations for Hamiltonians

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