Alfonso ROMANO | INTERACTING FERMIONIC SYSTEMS
Alfonso ROMANO INTERACTING FERMIONIC SYSTEMS
cod. 8860200024
INTERACTING FERMIONIC SYSTEMS
| 8860200024 | |
| DEPARTMENT OF PHYSICS "E. R. CAIANIELLO" | |
| Corso di Dottorato (D.M.226/2021) | |
| PHYSICS AND EMERGENT TECHNOLOGIES | |
| 2024/2025 |
| YEAR OF COURSE 1 | |
| YEAR OF DIDACTIC SYSTEM 2024 | |
| SPRING SEMESTER |
| SSD | CFU | HOURS | ACTIVITY | |
|---|---|---|---|---|
| FIS/03 | 2 | 10 | LESSONS |
| Objectives | |
|---|---|
| THE AIM OF THE COURSE IS TO PROVIDE STUDENTS WITH A BASIC UNDERSTANDING OF THE PHYSICS OF SYSTEMS FOR WHICH A DESCRIPTION IN TERMS OF BAND THEORY ALONE PROVES TO BE INADEQUATE. PARTICULAR ATTENTION IS GIVEN TO SYSTEMS WITH LATTICE DISTORTIONS AND STRONG ELECTRONIC CORRELATIONS, SPECIFICALLY TRANSITION METAL AND RARE-EARTH COMPOUNDS, WHICH EXHIBIT PECULIAR PHENOMENA SUCH AS, FOR INSTANCE, THE PEIERLS INSTABILITY AND THE MOTT-HUBBARD TRANSITION. A REVIEW OF THE THEORETICAL MODELS USED FOR THEIR ANALYSIS (SU-SCHRIEFFER-HEEGER MODEL, HUBBARD MODEL, T-J MODEL, ANDERSON MODEL) WILL ALSO BE PRESENTED. |
| Prerequisites | |
|---|---|
| EXTENSIVE KNOWLEDGE OF QUANTUM MECHANICS, SOLID STATE PHYSICS, SECOND QUANTIZATION AND GREEN'S FUNCTIONS, AS ACQUIRED IN THE WHOLE 3+2-YEAR COURSE OF STUDY IN PHYSICS. |
| Contents | |
|---|---|
| INADEQUACY OF BAND THEORY FOR SYSTEMS WITH LATTICE DISTORTIONS AND/OR STRONG ELECTRONIC CORRELATIONS. PEIERLS INSTABILITY. THE MODEL OF SU-SCHRIEFFER-HEEGER. FUNDAMENTAL PROPERTIES OF TRANSITION METAL COMPOUNDS. GENERAL MODEL OF COULOMBIC INTERACTION. DERIVATION OF HUBBARD'S HAMILTONIAN. HUBBARD MODEL: MEAN-FIELD SOLUTION, MAGNETIC SUSCEPTIBILITY, STONER CRITERION, ATOMIC LIMIT, STRONG COUPLING LIMIT AND T-J HAMILTONIAN. FUNDAMENTAL PROPERTIES OF RARE EARTH COMPOUNDS AND ACTINIDES AND ANDERSON MODEL (SINGLE IMPURITY AND LATTICE CASES). |
| Teaching Methods | |
|---|---|
| LECTURES GIVEN BY THE TEACHER. IN THE FRAMEWORK OF THESE LECTURES SOME PARTS OF THE PROGRAM WILL BE PRESENTED AND DISCUSSED BY THE PHD STUDENTS. |
| Verification of learning | |
|---|---|
| PHD STUDENTS ARE EXPECTED TO ELABORATE AND DISCUSS A PAPER ON A TOPIC CHOSEN BY THE TEACHER. |
| Texts | |
|---|---|
| - P. FAZEKAS, “LECTURE NOTES ON ELECTRON CORRELATION AND MAGNETISM”, WORLD SCIENTIFIC - G. GROSSO, G. PASTORI PARRAVICINI, “SOLID STATE PHYSICS“, ACADEMIC PRESS - P. FULDE, “ELECTRON CORRELATIONS IN MOLECULES AND SOLIDS”, SPRINGER - J. HUBBARD, PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON A276, 238 (1963) |
| More Information | |
|---|---|
| TEACHER'S E-MAIL ADDRESS: ALROMANO@UNISA.IT PHONE: 089-969140 |
BETA VERSION Data source ESSE3 [Ultima Sincronizzazione: 2025-01-27]
