One-particle spectral function singularities in a one-dimensional gas of spin-1/2 fermions with repulsive delta-function interaction

Čadež, T. (Beijing Computational Science Research Center, Beijing, 100193, China) (Center of Physics of University of Minho, University of Porto, Oporto, P-4169-007, Portugal) ; Nemati, S. (Beijing Computational Science Research Center, Beijing, 100193, China) (Center of Physics of University of Minho, University of Porto, Oporto, P-4169-007, Portugal) (University of Aveiro, Department of Physics, Aveiro, P-3810193, Portugal) ; Carmelo, J.M.P. (Boston University, Department of Physics, 590 Commonwealth Ave, Boston, MA, 02215, USA) (Massachusetts Institute of Technology, Department of Physics, Cambridge, MA, 02139, USA) (Center of Physics of University of Minho, University of Porto, Oporto, P-4169-007, Portugal) (Department of Physics, University of Minho, Campus Gualtar, Braga, P-4710-057, Portugal)

25 March 2019

Abstract: The momentum, fermionic density, spin density, and interaction dependencies of the exponents that control the (k,ω) -plane singular features of the one-fermion spectral functions of a one-dimensional gas of spin-1/2 fermions with repulsive delta-function interaction both at zero and finite magnetic field are studied in detail. Our results refer to energy scales beyond the reach of the low-energy Tomonaga-Luttinger liquid and rely on the pseudofermion dynamical theory for integrable models. The one-fermion spectral weight distributions associated with the spectral functions studied in this paper may be observed in systems of spin-1/2 ultra-cold fermionic atoms in optical lattices.


Published in: Nuclear Physics B 942 (2019) 45-102
Published by: Elsevier
DOI: 10.1016/j.nuclphysb.2019.03.013
License: CC-BY-3.0



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