Ground state factorization of heterogeneous spin models in magnetic fields

Details Ground state factorization of heterogeneous spin models in magnetic fields Ground state factorization of heterogeneous spin models in magnetic fields

2011-12-18

arxiv.org/abs/1112.4127v1

Prog. Theor. Phys. 127 (2012), 315-330

Physics

Condensed Matter

Strongly Correlated Electrons

16 pages, 6 figures, 1 table, Accepted in Progress of Theoretical Physics

Scientific paper

10.1143/PTP.127.315

The exact factorized ground state of a heterogeneous (ferrimagnetic) spin model which is composed of two spins ($\rho, \sigma$) has been presented in detail. The Hamiltonian is not necessarily translational invariant and the exchange couplings can be competing antiferromagnetic and ferromagnetic arbitrarily between different sub-lattices to build many practical models such as dimerized and tetramerized materials and ladder compounds. The condition to get a factorized ground state is investigated for non-frustrated spin models in the presence of a uniform and a staggered magnetic field. According to the lattice model structure we have categorized the spin models in two different classes and obtained their factorization conditions. The first class contains models in which their lattice structures do not provide a single uniform magnetic field to suppress the quantum correlations. Some of these models may have a factorized ground state in the presence of a uniform and a staggered magnetic field. However, in the second class there are several spin models in which their ground state could be factorized whether a staggered field is applied to the system or not. For the latter case, in the absence of a staggered field the factorizing uniform field is unique. However, the degrees of freedom for obtaining the factorization conditions are increased by adding a staggered magnetic field.

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