Solution of a supersymmetric model of correlated electrons

Martins, M.J.; Ramos, P.B.

doi:10.1103/physrevb.56.6376

Cited by 28 publications

(54 citation statements)

References 23 publications

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“…Here, some preliminary results have indicated a very rich structure: it was indeed shown in [8] that the continuum limit of a particular osp(2/2) q model [9] coincided with the continuum limit of the well known Bukhvostov Lipatov model [10], providing the first example of an integrable "double sine-Gordon" model [11], [12]. The case of sl(N/K) q models based on fundamental representations has also been studied in some details [13], enough to show that they have a relativistic limit, but far from providing a complete identification of the latter.…”

Section: Introductionmentioning

confidence: 99%

The continuum limit of sl(N/K) integrable super spin chains

Saleur

2000

Nuclear Physics B

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I discuss in this paper the continuum limit of integrable spin chains based on the superalgebras sl(N/K). The general conclusion is that, with the full ``supersymmetry'', none of these models is relativistic. When the supersymmetry is broken by the generator of the sub u(1), Gross Neveu models of various types are obtained. For instance, in the case of sl(N/K) with a typical fermionic representation on every site, the continuum limit is the GN model with N colors and K flavors. In the case of sl(N/1) and atypical representations of spin j, a close cousin of the GN model with N colors, j flavors and flavor anisotropy is obtained. The Dynkin parameter associated with the fermionic root, while providing solutions to the Yang Baxter equation with a continuous parameter, thus does not give rise to any new physics in the field theory limit. These features are generalized to the case where an impurity is embedded in the system

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Section: Introductionmentioning

confidence: 99%

The continuum limit of sl(N/K) integrable super spin chains

Saleur

2000

Nuclear Physics B

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“…We note that the Hamiltonian in Ref. [26] differs from the bulk part (24), but that they are related to each other by a canonical transformation. Nevertheless, it will be shown that this transformation does not change the Bethe-ansatz equations in the bulk.…”

Section: The Solutions Of the Graded Rementioning

confidence: 99%

“…Models corresponding to non-exceptional Lie superalgebras as, for instance, gl(2|1) and osp(2|2) [24][25][26], have provided interesting non-perturbative information [27,28] for generalizations of well-known models such as, e.g., the Hubbard model [29]. A further generalization was achieved by considering the solution of the YBE related to the quantum superalgebra U q [osp(2|2)] [25].…”

Section: Introductionmentioning

confidence: 99%

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A supersymmetric Uq[osp(2|2)]-extended Hubbard model with boundary fields

et al. 2001

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A strongly correlated electron system associated with the quantum superalgebra U q [osp(2|2)] is studied in the framework of the quantum inverse scattering method. By solving the graded reflection equation, two classes of boundary-reflection Kmatrices leading to four kinds of possible boundary interaction terms are found. Performing the algebraic Bethe ansatz, we diagonalize the two-level transfer matrices which characterize the charge and the spin degrees of freedom, respectively. The Bethe-ansatz equations, the eigenvalues of the transfer matrices and the energy spectrum are presented explicitly. We also construct two impurities coupled to the boundaries. In the thermodynamic limit, the ground state properties and impurity effects are discussed.

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“…Moreover, their quantized versions can be shown to be affinizable to provide irreducible representations of the twisted quantum affine superalgebra U q ͓gl(m͉n) (2) ͔ from which trigonometric R matrices with U q ͓osp(m͉n)͔ invariance may be constructed. 4 These R matrices determine new integrable models that have generated remarkable interest in physics recently, [5][6][7] particularly in condensed matter physics, where they give rise to new integrable models of strongly correlated electrons.…”

Section: Introductionmentioning

confidence: 99%

Quasispin graded-fermion formalism and gl(m|n)↓osp(m|n) branching rules

Gould

Zhang

1999

Journal of Mathematical Physics

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Boson-fermion realization of Lie algebras and dynamical supersymmetry in fermion systems AIP Conf. Proc. 545, 190 (2000) The graded-fermion algebra and quasispin formalism are introduced and applied to obtain the gl(m͉n)↓osp(m͉n) branching rules for the ''two-column'' tensor irreducible representations of gl(m͉n), for the case mрn(nϾ2). In the case mϽn, all such irreducible representations of gl(m͉n) are shown to be completely reducible as representations of osp(m͉n). This is also shown to be true for the case m ϭn, except for the ''spin-singlet'' representations, which contain an indecomposable representation of osp(m͉n) with composition length 3. These branching rules are given in fully explicit form.

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Solution of a supersymmetric model of correlated electrons

Cited by 28 publications

References 23 publications

The continuum limit of sl(N/K) integrable super spin chains

The continuum limit of sl(N/K) integrable super spin chains

A supersymmetric Uq[osp(2|2)]-extended Hubbard model with boundary fields

Quasispin graded-fermion formalism and gl(m|n)↓osp(m|n) branching rules

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