Supersymmetric Hubbard Operators
Autor: | Catherine Pépin, John M. Hopkinson, Piers Coleman |
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Přispěvatelé: | Service de Physique Théorique (SPhT), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Centre National de la Recherche Scientifique (CNRS) |
Jazyk: | angličtina |
Rok vydání: | 2000 |
Předmět: |
Physics
Condensed Matter::Quantum Gases Particle physics 75.30.Mb 75.20.Hr Strongly Correlated Electrons (cond-mat.str-el) Group (mathematics) High Energy Physics::Phenomenology FOS: Physical sciences Fermion Slave boson Gauge (firearms) 01 natural sciences Symmetry (physics) [PHYS.PHYS.PHYS-GEN-PH]Physics [physics]/Physics [physics]/General Physics [physics.gen-ph] 010305 fluids & plasmas Condensed Matter - Strongly Correlated Electrons Operator (computer programming) Supersymmetric gauge theory [PHYS.COND.CM-GEN]Physics [physics]/Condensed Matter [cond-mat]/Other [cond-mat.other] 0103 physical sciences Condensed Matter::Strongly Correlated Electrons Gauge theory 010306 general physics Mathematical physics |
Zdroj: | Physical Review B: Condensed Matter and Materials Physics (1998-2015) Physical Review B: Condensed Matter and Materials Physics (1998-2015), American Physical Society, 2001, 63, pp.140411R-. ⟨10.1103/PhysRevB.63.140411⟩ Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2001, 63, pp.140411R-. ⟨10.1103/PhysRevB.63.140411⟩ |
ISSN: | 1098-0121 1550-235X |
Popis: | We develop a supersymmetric representation of the Hubbard operator which unifies the slave boson and slave fermion representations into a single $U (1)\times SU (1| 1)$ gauge theory, a group with larger symmetry than the product of two $U (1)$ gauge groups. These representations of the Hubbard operator can be used to incorporate strong Hund's interactions in multi-electron atoms as a constraint. We show how this method can be combined with the $SP (N)$ group to yield a locally supersymmetric large-N formulation of the $t-J$ model. 12 pages, 1 figure. Substantially Revised Version |
Databáze: | OpenAIRE |
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