Supersymmetric Hubbard Operators

Autor: Catherine Pépin, John M. Hopkinson, Piers Coleman
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:
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