Critical behavior of quantum magnets with long-range interactions in the thermodynamic limit

Sebastian Fey and Kai Phillip Schmidt
Phys. Rev. B 94, 075156 – Published 30 August 2016

Abstract

Quasiparticle properties of quantum magnets with long-range interactions are investigated by high-order linked-cluster expansions in the thermodynamic limit. It is established that perturbative continuous unitary transformations on white graphs are a promising and flexible approach to treat long-range interactions in quantum many-body systems. We exemplify this scheme for the one-dimensional transverse-field Ising chain with long-range interactions. For this model, the elementary quasiparticle gap is determined allowing to access the quantum-critical regime including critical exponents and multiplicative logarithmic corrections for the ferro- and antiferromagnetic case.

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  • Received 16 June 2016
  • Revised 4 August 2016

DOI:https://doi.org/10.1103/PhysRevB.94.075156

©2016 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsGeneral PhysicsStatistical Physics & ThermodynamicsAtomic, Molecular & Optical

Authors & Affiliations

Sebastian Fey and Kai Phillip Schmidt

  • Lehrstuhl für Theoretische Physik I, Staudtstraße 7, Universität Erlangen-Nürnberg, D-91058 Erlangen, Germany

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Issue

Vol. 94, Iss. 7 — 15 August 2016

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