Effective mass of elementary excitations in Galileaninvariant integrable models
Here, we study lowenergy excitations of onedimensional Galileaninvariant models integrable by Bethe ansatz and characterized by nonsingular twoparticle 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 LiebLiniger model and the hyperbolic CalogeroSutherland model.
 Authors:

^{[1]};
^{[2]}
 Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
 Georgia Inst. of Technology, Atlanta, GA (United States). School of Physics
 Publication Date:
 Grant/Contract Number:
 AC0206CH11357
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review B
 Additional Journal Information:
 Journal Volume: 94; Journal Issue: 11; Journal ID: ISSN 24699950
 Publisher:
 American Physical Society (APS)
 Research Org:
 Argonne National Lab. (ANL), Argonne, IL (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC22); National Science Foundation (NSF)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
 OSTI Identifier:
 1352654
 Alternate Identifier(s):
 OSTI ID: 1326870
Matveev, K. A., and Pustilnik, M.. Effective mass of elementary excitations in Galileaninvariant integrable models. United States: N. p.,
Web. doi:10.1103/PhysRevB.94.115436.
Matveev, K. A., & Pustilnik, M.. Effective mass of elementary excitations in Galileaninvariant integrable models. United States. doi:10.1103/PhysRevB.94.115436.
Matveev, K. A., and Pustilnik, M.. 2016.
"Effective mass of elementary excitations in Galileaninvariant integrable models". United States.
doi:10.1103/PhysRevB.94.115436. https://www.osti.gov/servlets/purl/1352654.
@article{osti_1352654,
title = {Effective mass of elementary excitations in Galileaninvariant integrable models},
author = {Matveev, K. A. and Pustilnik, M.},
abstractNote = {Here, we study lowenergy excitations of onedimensional Galileaninvariant models integrable by Bethe ansatz and characterized by nonsingular twoparticle 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 LiebLiniger model and the hyperbolic CalogeroSutherland model.},
doi = {10.1103/PhysRevB.94.115436},
journal = {Physical Review B},
number = 11,
volume = 94,
place = {United States},
year = {2016},
month = {9}
}