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Title: Effective mass of elementary excitations in Galilean-invariant integrable models

Abstract

Here, we study low-energy excitations of one-dimensional Galilean-invariant models integrable by Bethe ansatz and characterized by nonsingular two-particle scattering phase shifts. We also prove that the curvature of the excitation spectra is described by the recently proposed phenomenological expression for the effective mass. These results apply to such models as the repulsive Lieb-Liniger model and the hyperbolic Calogero-Sutherland model.

Authors:
 [1];  [2]
  1. Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
  2. Georgia Inst. of Technology, Atlanta, GA (United States). School of Physics
Publication Date:
Research Org.:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
OSTI Identifier:
1352654
Alternate Identifier(s):
OSTI ID: 1326870
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 94; Journal Issue: 11; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Matveev, K. A., and Pustilnik, M. Effective mass of elementary excitations in Galilean-invariant integrable models. United States: N. p., 2016. Web. doi:10.1103/PhysRevB.94.115436.
Matveev, K. A., & Pustilnik, M. Effective mass of elementary excitations in Galilean-invariant integrable models. United States. https://doi.org/10.1103/PhysRevB.94.115436
Matveev, K. A., and Pustilnik, M. Tue . "Effective mass of elementary excitations in Galilean-invariant integrable models". United States. https://doi.org/10.1103/PhysRevB.94.115436. https://www.osti.gov/servlets/purl/1352654.
@article{osti_1352654,
title = {Effective mass of elementary excitations in Galilean-invariant integrable models},
author = {Matveev, K. A. and Pustilnik, M.},
abstractNote = {Here, we study low-energy excitations of one-dimensional Galilean-invariant models integrable by Bethe ansatz and characterized by nonsingular two-particle scattering phase shifts. We also prove that the curvature of the excitation spectra is described by the recently proposed phenomenological expression for the effective mass. These results apply to such models as the repulsive Lieb-Liniger model and the hyperbolic Calogero-Sutherland model.},
doi = {10.1103/PhysRevB.94.115436},
journal = {Physical Review B},
number = 11,
volume = 94,
place = {United States},
year = {Tue Sep 27 00:00:00 EDT 2016},
month = {Tue Sep 27 00:00:00 EDT 2016}
}

Journal Article:

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Cited by: 7 works
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Works referenced in this record:

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