Alfonso ROMANO | INTRODUCTION TO STRONGLY CORRELATED ELECTRON SYSTEMS
Alfonso ROMANO INTRODUCTION TO STRONGLY CORRELATED ELECTRON SYSTEMS
cod. 8860200015
INTRODUCTION TO STRONGLY CORRELATED ELECTRON SYSTEMS
| 8860200015 | |
| DEPARTMENT OF PHYSICS "E. R. CAIANIELLO" | |
| Corso di Dottorato (D.M.226/2021) | |
| PHYSICS AND EMERGENT TECHNOLOGIES | |
| 2022/2023 |
| YEAR OF COURSE 1 | |
| YEAR OF DIDACTIC SYSTEM 2022 | |
| FULL ACADEMIC YEAR |
| 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 TURNS OUT TO BE INADEQUATE. PARTICULAR ATTENTION IS DEVOTED TO SYSTEMS WITH LATTICE DISTORTIONS AND STRONG ELECTRONIC CORRELATIONS, TOGETHER WITH THE THEORETICAL MODELS USED FOR THEIR ANALYSIS (SU-SCHRIEFFER-HEEGER, HUBBARD MODEL, T-J MODEL, ANDERSON MODEL). |
| 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 |
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