ΜΕΛΕΤΗ ΤΟΥ ΜΟΝΤΕΛΛΟΥ HUBBARD ΓΙΑ ΕΛΚΤΙΚΑ ΔΥΝΑΜΙΚΑ ΜΕΤΑΞΥ ΤΩΝ ΗΛΕΚΤΡΟΝΙΩΝ

WE STUDIED THE ONE-DIMENSIONAL HUBBARD MODEL WITH ATTRACTIVE ON SITE INTERACTIONS BETWEEN ELECTRONS BY USING THE PERIODIC ONE- BODY SELF CONSISTENT STATIC APPROXIMATION. OUR RESULTS ARE IN GOOD AGREEMENT WITH THE EXISTENT MANY-BODY RESULTS, FOR NUMBER OF ELECTRONS PER LATTICE SITE, TAKING ALL VALUES FROM 0 TO 2. WEFIND AN ENERGY GAP AT THE FERMI LEVEL AND A LOWER ENERGY THAN THAT OBTAINED BYTHE USUAL HARTREE-FOCK APPROXIMATION. FOR ELECTRON-ELECTRON INTERACTIONS BETWEEN ATOMIC AND METALLIC LIMITS (0<IUI/V,+ ), OUR METHOD IS SUCCESSFULLY APPLIED.RELAXING THE STATIC CHARACTER OF THE APPROXIMATION TRANSFORMS THE PART OF HUBBARD HAMILTONIAN, DESCRIBING "LATTICE EXCITATIONS", TO AN EQUIVALENT ANISOTROPICHEISENBERG HAMILTONIAN. THE RESULTING CONNECTION BETWEEN MAGNETISM THEORY SUPERCONDUCTIVITY AND CHARGE DENSITY WAVES, CONTRIBUTES TO THE UNIFIED UNDERSTANDING OF THESE IMPORTANT PHENOMENA. FOR THE SPECIAL CASE OF 1 ELECTRON PER LATTICESITE THE EQUIVALENT HEISENBERG HAMILTONIAN WAS STUDIED. THE RESULT IS THAT OURONE-DIMENSIONAL SYSTEM IS NEITHER IN SUPERCONDUCTING STATE NOR IN CHARGE DENSITY WAVES STATE.

Grantor dc:publisher

National and Kapodistrian University of Athens

Year dc:date

1982

Author dc:creator

• Μερκούρης, Θεόδωρος

• HEISENBERG ΧΑΜΙΛΤΟΝΙΑΝΗ
• Κύματα πυκνότητας φορτίου
• Πλέγμα Bethe
• ΠΡΟΣΕΓΓΙΣΗ ΤΩΝ ΑΝΕΞΑΡΤΗΤΩΝ ΣΩΜΑΤΙΔΙΩΝ
• Υπεραγωγιμότητα
• Bethe lattice
• Charge density wave
• HEISENBERG HAMILTONIAN
• INDEPENDENT PARTICLE APPROXIMATION
• RANDOMONE-BODY APPROXIMATION
• Superconductivity
• Φυσικές Επιστήμες
• Φυσική
• Natural Sciences
• Physical Sciences

Language dc:language

gre

Identifier

10.12681/eadd/0813

OAI identifier oai:identifier

oai:10442/0813