Quantum Magnetism Approaches to Strongly Correlated Electrons
| dc.creator | Auerbach, A. | |
| dc.date | 1998-01-28 | |
| dc.date.accessioned | 2026-07-07T03:09:52Z | |
| dc.date.available | 2026-07-07T03:09:52Z | |
| dc.description | Problems of strongly interacting electrons can be greatly simplified by reducing them to effective quantum spin models. The initial step is renormalization of the Hamiltonian into a lower energy subspace. The positive and negative U Hubbard models are explicitely transformed into the Heisenberg and -x-xz models respectively. Basic tools of quantum magnetism are introduced and used: spin coherent states path integral, spin wave theory, and continuum theory of rotators.The last lecture concerns pseudospin approaches to superconductivity and superfluidity. The SO(3) rotator theory for the -x-xz model describes a charge density wave to superconductor transition. Analogously, Zhang's SO(5) rotator theory describes the antiferromagnet to d-wave superconductor transition in high Tc cuprates. Finally the Magnus force on the two dimensional vortices and their momentum, are derived from the Berry phase of the spin path integral. | |
| dc.description | Latex2e, 31 pages, 5 figures, Lectures presented at Chia Laguna Summer School 1997 | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9801294 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9801294 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/28056 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Quantum Magnetism Approaches to Strongly Correlated Electrons | |
| dc.type | text |