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Fermionic representations of integrable lattice systems

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arxiv cond-mat/9805129 v2 pith:EVKOK3F2 submitted 1998-05-11 cond-mat hep-thnlin.SIsolv-int

Frank Göhmann , Shuichi Murakami This is my paper · ORCID
classification cond-mathep-thnlin.SIsolv-int
keywords fermifermionicintegrableoperatorssolutionsystemsalgebraicansatz
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abstract

We develop a general scheme for the use of Fermi operators within the framework of integrable systems. This enables us to read off a fermionic Hamiltonian from a given solution of the Yang-Baxter equation and to express the corresponding $L$-matrix and the generators of symmetries in terms of Fermi operators. We illustrate our approach through a number of examples. Our main example is the algebraic Bethe ansatz solution of the Hubbard model in the infinite coupling limit.

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  1. Weak ergodicity breaking with isolated integrable sectors

    cond-mat.stat-mech 2024-12 accept novelty 7.0 of 10

    Isolated integrable subspaces can be embedded non-trivially into chaotic spin chains; all examples are perturbations of Hilbert-space-fragmented models.

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