Competing Regimes of Motion of 1D Mobile Impurities

A. Kantian, U. Schollwöck, and T. Giamarchi
Phys. Rev. Lett. 113, 070601 – Published 14 August 2014
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Abstract

We show that a distinguishable mobile impurity inside a one-dimensional many-body state at zero temperature generally does not behave like a quasiparticle. Instead, both the impurity dynamics as well as the ground state of the bath are fundamentally transformed by a diverging number of zero-energy excitations being generated, leading to what we call infrared-dominated (ID) dynamics. Combining analytics and density matrix renormalization group numerics, we provide a general formula for the power law governing ID dynamics at zero momentum, discuss a threshold beyond which quasiparticle dynamics may occur again, and study the competition between the ID and quasiparticle universality classes at larger impurity momenta.

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  • Received 7 November 2013

DOI:https://doi.org/10.1103/PhysRevLett.113.070601

© 2014 American Physical Society

Authors & Affiliations

A. Kantian1,*, U. Schollwöck2, and T. Giamarchi1

  • 1DPMC-MaNEP, University of Geneva, 24 Quai Ernest-Ansermet, 1211 Geneva, Switzerland
  • 2Department für Physik, LMU München, Theresienstrasse 37, 80333 München, Germany

  • *Adrian.Kantian@googlemail.com

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Issue

Vol. 113, Iss. 7 — 15 August 2014

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