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One-particle spectral function singularities in a one-dimensional gas of spin-1/2 fermions with repulsive delta-function interaction
http://repo.scoap3.org/record/31811
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.Čadež, T.Mon, 25 Mar 2019 20:23:06 GMThttp://repo.scoap3.org/record/31811urn:ISSN:0550-3213Elsevier2019-05One-electron singular spectral features of the 1D Hubbard model at finite magnetic field
http://repo.scoap3.org/record/17968
The momentum, electronic density, spin density, and interaction dependences of the exponents that control the (k,ω) -plane singular features of the σ=↑,↓ one-electron spectral functions of the 1D Hubbard model at finite magnetic field are studied. The usual half-filling concepts of one-electron lower Hubbard band and upper Hubbard band are defined in terms of the rotated electrons associated with the model Bethe-ansatz solution for all electronic density and spin density values and the whole finite repulsion range. Such rotated electrons are the link of the non-perturbative relation between the electrons and the pseudofermions. Our results further clarify the microscopic processes through which the pseudofermion dynamical theory accounts for the one-electron matrix elements between the ground state and excited energy eigenstates.Carmelo, J.M.P.Fri, 18 Nov 2016 14:17:39 GMThttp://repo.scoap3.org/record/17968urn:ISSN:0550-3213Elsevier2016-12-08Pseudofermion dynamical theory for the spin dynamical correlation functions of the half-filled 1D Hubbard model
http://repo.scoap3.org/record/13345
A modified version of the metallic-phase pseudofermion dynamical theory (PDT) of the 1D Hubbard model is introduced for the spin dynamical correlation functions of the half-filled 1D Hubbard model Mott–Hubbard phase. The Mott–Hubbard insulator phase PDT is applied to the study of the model longitudinal and transverse spin dynamical structure factors at finite magnetic field h , focusing in particular on the singularities at excitation energies in the vicinity of the lower thresholds. The relation of our theoretical results to both condensed-matter and ultra-cold atom systems is discussed.Carmelo, J.M.P.Thu, 07 Jan 2016 15:01:22 GMThttp://repo.scoap3.org/record/13345urn:ISSN:0550-3213Elsevier2017-03-20