The marginal Fermi Liquid – An exact derivation based on Dirac's first class constraints method
| Autor: | David Schmeltzer |
|---|---|
| Rok vydání: | 2010 |
| Předmět: |
Physics
Nuclear and High Energy Physics Condensed Matter - Mesoscale and Nanoscale Physics Operator (physics) Spectrum (functional analysis) Dirac (software) FOS: Physical sciences Propagator Self-energy Quantum mechanics Mesoscale and Nanoscale Physics (cond-mat.mes-hall) Density of states Fermi liquid theory Ground state |
| Zdroj: | Nuclear Physics B. 829:447-477 |
| ISSN: | 0550-3213 |
| DOI: | 10.1016/j.nuclphysb.2009.11.014 |
| Popis: | Dirac's method for constraints is used for solving the problem of exclusion of double occupancy for Correlated Electrons. The constraints are enforced by the pair operator $Q(\vec{x})=\psi_{\downarrow}(\vec{x})\psi_{\uparrow}(\vec{x})$ which annihilates the ground state $|\Psi^0>$. Away from half fillings the operator $Q(\vec{x})$ is replaced by a set of $first$ $class$ Non-Abelian constraints $Q^{(-)}_{\alpha}(\vec{x})$ restricted to negative energies. The propagator for a single hole away from half fillings is determined by modified measure which is a function of the time duration of the hole propagator. As a result: a) The imaginary part of the self energy - is linear in the frequency. At large hole concentrations a Fermi Liquid self energy is obtained. b) For the Superconducting state the constraints generate an asymmetric spectrum excitations between electrons and holes giving rise to an asymmetry tunneling density of states. Comment: 33 pages, 5 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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