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:
-
- Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
- 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}
}
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Works referencing / citing this record:
Ground-state energy and excitation spectrum of the Lieb-Liniger model : accurate analytical results and conjectures about the exact solution
journal, January 2017
- Lang, Guillaume; Hekking, Frank; Minguzzi, Anna
- SciPost Physics, Vol. 3, Issue 1
Ground-state energy and excitation spectrum of the Lieb-Liniger model : accurate analytical results and conjectures about the exact solution
text, January 2016
- Lang, Guillaume; Hekking, Frank; Minguzzi, Anna
- arXiv