scholarly journals Persistent Current of Interacting Electrons: a Simple Hartree-Fock Picture

1996 ◽  
Vol 6 (1) ◽  
pp. 1-4 ◽  
Author(s):  
G. Montambaux
Keyword(s):  
Persistent Current ◽  
Hartree Fock ◽  
Interacting Electrons

EFFECT OF CORRELATED-HOPPING INTERACTION ON A ONE-DIMENSIONAL EXTENDED HUBBARD MODEL WITH SPIN-EXCHANGE INTERACTION

2012 ◽  
Vol 26 (07) ◽  
pp. 1150044 ◽  
Author(s):  
HANQIN DING ◽  
JUN ZHANG
Keyword(s):  
Phase Diagram ◽  
Nearest Neighbor ◽  
Spin Exchange ◽  
One Dimensional ◽  
Body Interaction ◽  
Hartree Fock ◽  
Interacting Electrons ◽  
1D Model ◽  
Isotropic Exchange ◽  
Three Body

By using the field-theoretical techniques combining bosonization with renormalization group, we study a one-dimensional (1D) model of interacting electrons with on-site repulsion (U > 0), nearest-neighbor (nn) exchange (J) and correlated-hopping (t2, t3) interactions at weak coupling. In the case of a half-filled band, the two-body interaction t2 does not influence phase diagram of the model, while the presence of three-body interaction t3 makes the physics of the system highly non-trivial. By a Hartree–Fock decoupling, the effects of t3 bring about hopping of pairs, V-like (nn Coulomb interaction) and isotropic exchange terms in the reduced model Hamiltonian. Interestingly, a negative t3 provides a possibility for the occurrence of the triplet superconductivity in 1D system with purely repulsive interactions (U, J > 0). The ground state phase diagram including the insulating and superconducting phases is discussed analytically.

scholarly journals Persistent Currents in Continuous One-Dimensional Disordered Rings within the Hartree–Fock Approximation

1997 ◽  
Vol 11 (15) ◽  
pp. 1845-1863 ◽  
Author(s):  
A. Cohen ◽  
R. Berkovits ◽  
A. Heinrich
Keyword(s):  
Energy Levels ◽  
Tight Binding ◽  
Zero Temperature ◽  
Persistent Currents ◽  
One Dimensional ◽  
Hartree Fock ◽  
Self Consistent ◽  
Binding Models ◽  
Interacting Electrons ◽  
Disorder Potential

We present numerical results for the zero temperature persistent currents carried by interacting spinless electrons in disordered one-dimensional continuous rings. The disorder potential is described by a collection of δ-functions at random locations and strengths. The calculations are performed by a self-consistent Hartree–Fock (HF) approximation. Because the HF approximation retains the concept of single-electron levels, we compare the statistics of energy levels of noninteracting electrons with those of interacting electrons as well as of the level persistent currents. We find that the e–e interactions alter the levels and samples persistent currents and introduces a preffered diamagnetic current direction. In contrast to the analogous calculations that recently appeared in the literature for interacting spinless electrons in the presence of moderate disorder in tight-binding models we find no suppression of the persistent currents due to the e–e interactions.

scholarly journals Persistent current in disordered Aharonov-Bohm rings with interacting electrons

1996 ◽  
Vol 54 (11) ◽  
pp. 8101-8106 ◽  
Author(s):  
Qianghua Wang ◽  
Z. D. Wang ◽  
Jian-Xin Zhu
Keyword(s):  
Persistent Current ◽  
Interacting Electrons ◽  
Aharonov Bohm

INTERACTING ELECTRONS IN PARABOLIC QUANTUM DOTS: ENERGY LEVELS, ADDITION ENERGIES, AND CHARGE DISTRIBUTIONS

2001 ◽  
Vol 15 (28n30) ◽  
pp. 3641-3645 ◽  
Author(s):  
MICHAEL SCHREIBER ◽  
JENS SIEWERT ◽  
THOMAS VOJTA
Keyword(s):  
Energy Levels ◽  
Quantum Mechanical ◽  
Hartree Fock ◽  
Charge Distributions ◽  
Spatial Charge ◽  
Interacting Electrons ◽  
Diagonalization Method ◽  
Parabolic Confinement ◽  
Interaction Approach ◽  
Classical Calculation

We investigate the properties of interacting electrons in a parabolic confinement. To this end we numerically diagonalize the Hamiltonian using the Hartree-Fock based diagonalization method which is related to the configuration interaction approach. We study different types of interactions, Coulomb as well as short range. In addition to the ground state energy we calculate the spatial charge distribution and compare the results to those of the classical calculation. We find that a sufficiently strong screened Coulomb interaction produces energy level bunching for classical as well as for quantum-mechanical dots. Bunching in the quantum-mechanical system occurs due to an interplay of kinetic and interaction energy, moreover, it is observed well before reaching the limit of a Wigner crystal. It also turns out that the shell structure of classical and quantum mechanical spatial charge distributions is quite similar.

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