Nonuniversal properties of the single-particle density of states of a one-dimensional system with electron-phonon interactions

2003 ◽  
Vol 67 (15) ◽  
Author(s):  
Emiliano Papa
Keyword(s):  
Density Of States ◽  
Single Particle ◽  
Particle Density ◽  
Dimensional System ◽  
One Dimensional ◽  
Single Particle Density

scholarly journals THE SINGLE-PARTICLE DENSITY OF STATES AND THE RESONANCE IN THE AHARONOV–BOHM POTENTIAL

1995 ◽  
Vol 09 (22) ◽  
pp. 1407-1417 ◽  
Author(s):  
ALEXANDER MOROZ
Keyword(s):  
Periodic Function ◽  
Cross Section ◽  
Density Of States ◽  
Single Particle ◽  
Particle Density ◽  
Bound State ◽  
Differential Scattering Cross Section ◽  
Bohm Potential ◽  
Single Particle Density ◽  
Aharonov Bohm

The single-particle densitity of states (DOS) for the Pauli and the Schrödinger Hamiltonians in the presence of an Aharonov–Bohm potential is calculated for different values of the particle magnetic moment. The DOS is a symmetric and periodic function of the flux. The Krein–Friedel formula can be applied to this long-ranged potential when regularized with the zeta function. We have found that whenever a bound state is present in the spectrum it is always accompanied by a resonance. The shape of the resonance is not of the Breit-Wigner type. The differential scattering cross section is asymmetric if a bound state is present and gives rise to the Hall effect. As an application, propagation of electrons in a dilute vortex limit is considered and the Hall resistivity is calculated.

scholarly journals Dynamically induced doublon repulsion in the Fermi-Hubbard model probed by a single-particle density of states

2020 ◽  
Vol 102 (22) ◽  
Author(s):  
V. N. Valmispild ◽  
C. Dutreix ◽  
M. Eckstein ◽  
M. I. Katsnelson ◽  
A. I. Lichtenstein ◽  
...  
Keyword(s):  
Hubbard Model ◽  
Density Of States ◽  
Single Particle ◽  
Particle Density ◽  
Single Particle Density

scholarly journals Landau-Fermi liquids in disguise

2021 ◽  
Author(s):  
Michele Fabrizio
Keyword(s):  
Density Of States ◽  
Single Particle ◽  
Particle Density ◽  
Dynamic Properties ◽  
Common Belief ◽  
Zero Energy ◽  
Strongly Correlated Materials ◽  
Single Particle Density ◽  
Interacting Electrons ◽  
Poles And Zeros

Abstract In periodic systems of interacting electrons, Fermi and Luttinger surfaces refer to the locations within the Brillouin zone of poles and zeros, respectively, of the single-particle Green's function at zero energy and temperature. Such difference in analytic properties underlies the emergence of well-defined quasiparticles close to a Fermi surface, in contrast to their supposed non-existence close to a Luttinger surface, where the single-particle density-of-states vanishes at zero energy. We here show that, contrary to such common belief, coherent `quasiparticles` do exist also approaching a Luttinger surface in compressible interacting electron systems. Thermodynamic and dynamic properties of such `quasiparticles` are just those of conventional ones. For instance, they yield well defined quantum oscillations in Luttinger's surface and linear in temperature specific heat, which is striking given the vanishing density of states of physical electrons, but actually not uncommon in strongly correlated materials.

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