Journal ArticleDOI
Algebraic bosonisation: the case of the Dirac fermion
TLDR
In this article, the authors construct rules for deforming the underlying algebra that keep unchanged the boson interpretation and find the solutions of the deformed algebra are the pair-phase excitations of the lattice bosons.About:
This article is published in Physics Letters B.The article was published on 2001-02-15. It has received 2 citations till now. The article focuses on the topics: Fermion doubling & Dirac fermion.read more
Citations
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Fermion to boson mapping
Asis Basu,Jayprokas Chakrabarti +1 more
TL;DR: In this paper, the enveloping algebra of fermions is extended on the lattice to include the discrete space invariance, denoted X. This extended algebra has the space symmetry as a factor: X / D n ǫ = space group.
Journal ArticleDOI
Bipolaronic excitations of interacting electron(hole) gas in one-dimensional lattice model
TL;DR: In this article, the bipolaronic model of the interacting electron or hole gas, obtained from Holstein-Hubbard Hamiltonian in one-dimensional lattice, exhibits normalization of the hopping terms and leads to a reduced effective mass of the bipolaron.
References
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Book
A guide to quantum groups
Vyjayanthi Chari,Andrew Pressley +1 more
TL;DR: In this paper, the Kac-Moody algebras and quasitriangular Hopf algesas were used to represent the universal R-matrix and the root of unity case.
Book
Foundations of Quantum Group Theory
TL;DR: In this paper, the authors define Hopf algebras as "quasitriangular Hopf-algebraes" and introduce matrix quantum groups and bicrossproduct hopf alges.
BookDOI
Solitons and Polarons in Conducting Polymers
TL;DR: A detailed introduction to polyacetylence is given in this article along with a collection of original papers, which can help chemists and physicists grasp the main ideas and most important facts; an expert may also find it useful as a reference volume.
Book
Deformation Theory and Quantum Groups With Applications to Mathematical Physics
Murray Gerstenhaber,Jim Stasheff +1 more
Posted Content
Lattice Bosons
TL;DR: The lattice bosons arise near the empty band or when the bands are nearly full as discussed by the authors, and they do not depend on the nature of the interactions and exist for any fermion-fermion coupling.
Related Papers (5)
Characters of Lattice Fermions Based on the Hyperdiamond Lattice
Taro Kimura,Tatsuhiro Misumi +1 more