One-particle spectral functions of the one-dimensional Fermionic Hubbard model with one fermion per site at zero and finite magnetic fields

被引:5
作者
Carmelo, Jose M. P. [1 ,2 ,3 ,4 ]
Cadez, Tilen [5 ]
Sacramento, Pedro D. [6 ]
机构
[1] Univ Minho, Ctr Phys, P-4169007 Oporto, Portugal
[2] Univ Porto, P-4169007 Oporto, Portugal
[3] Univ Minho, Dept Phys, Campus Gualtar, P-4710057 Braga, Portugal
[4] Boston Univ, Dept Phys, 590 Commonwealth Ave, Boston, MA 02215 USA
[5] Inst Basic Sci IBS, Ctr Theoret Phys Complex Syst, Daejeon 34126, South Korea
[6] Univ Lisbon, Inst Super Tecn, CeFEMA, Av Rovisco Pais, P-1049001 Lisbon, Portugal
关键词
MOMENTUM DISTRIBUTION; BETHE-ANSATZ; PHOTOEMISSION; INSULATORS; TRANSITION; FEATURES; ABSENCE; WEIGHT; LIQUID; SHADOW;
D O I
10.1103/PhysRevB.103.195129
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Although charge-spin separation has important consequences for the properties of one-dimensional (1D) Mott-Hubbard insulators, matrix elements in some of its dynamical correlation functions involve the coupling of spin and charge degrees of freedom. The corresponding interplay of the 1D Mott-Hubbard insulator's charge and spin degrees of freedom is an issue of both fundamental and technological interest, for instance, concerning their dynamics at subpicosecond timescales. On the other hand, the up- and down-spin one-particle spectral functions are the simplest dynamical correlation functions that involve excitation of both the charge and spin degrees of freedom. They are thus suitable to extract basic useful physical information on the above interplay at finite magnetic fields. Here the line shape of such functions at and in the (k, omega) plane's vicinity of their cusp singularities is studied for the Mott-Hubbard insulator described by the 1D Hubbard model with one fermion per site at zero and finite magnetic fields. At zero field, they can be accessed in terms of electrons by photoemission experiments. At finite field, such functions and corresponding interplay of correlations and magnetic-field effects refer to an involved nonperturbative many-particle problem that is poorly understood. TheMott-Hubbard gap that separates the addition and removal spectral functions is calculated for all spin densities and interaction values. The qualitative differences in the one-particle properties of the Mott-Hubbard insulator and corresponding doped insulator are also investigated. The relation of our theoretical results and predictions to both condensed-matter and ultracold spin-1/2 atom systems is discussed.
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页数:24
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