Renormalization of two-body interactions due to higher-body interactions of lattice bosons

Vipin Kerala Varma and Hartmut Monien
Phys. Rev. B 90, 085138 – Published 25 August 2014

Abstract

We calculate thermodynamic properties of soft-core lattice bosons with on-site n-body interactions using up to twelfth- and tenth-order strong coupling expansion in one- and two-dimensional cubic lattices at zero temperature. Using linked cluster techniques, we show that it is possible to exactly renormalize the two-body interactions for quasiparticle excitations and ground-state energy by resumming the three- and four-body terms in the system, which suggests that all higher-body on-site interactions may be exactly and perturbatively resummed into the two-body terms for similar system observables. The renormalization procedure that we develop is applicable to a broad range of systems analyzable by linked cluster expansions, ranging from perturbative quantum chromodynamics to spin models, giving either an exact or approximate resummation depending on the specific system and properties. Universality at various three-body interaction strengths for the two-dimensional boson Hubbard model is checked numerically.

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  • Received 30 December 2012
  • Revised 17 July 2014

DOI:https://doi.org/10.1103/PhysRevB.90.085138

©2014 American Physical Society

Authors & Affiliations

Vipin Kerala Varma

  • Bethe Center for Theoretical Physics, Universität Bonn, Germany and The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy

Hartmut Monien

  • Bethe Center for Theoretical Physics, Universität Bonn, Germany

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Issue

Vol. 90, Iss. 8 — 15 August 2014

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