Factorized ground state for a general class of ferrimagnets

Abstract

We have found the exact (factorized) ground state of a general class of ferrimagnets in the presence of a magnetic field which covers the frustrated, anisotropic and long range interactions for arbitrary dimensional space. In particular cases, our model represents the bond-alternating, ferromagnet-antiferromagnet and also homogeneous spin $s$ model. The factorized ground state is a product of single particle kets on a bipartite lattice composed of two different spins ($\rho ,\sigma$). The spin waves analysis around the exact ground state show two branch of excitations which is the origin of two dynamics of the model. The signature of these dynamics is addressed as a peak and a broaden bump in the specific heat.

4 pages and 2 figures, some typos corrected

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• Studying quantum spin systems through entanglement estimators
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• Theory of ground state factorization in quantum cooperative systems
• Separability and ground state factorization in quantum spin systems
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Cited by in corpus (12)

• Factorization and criticality in finite XXZ systems of arbitrary spin
• Thermodynamic behavior of the XXZ Heisenberg s=1/2 chain around the factorizing magnetic field
• Non-transverse factorizing fields and entanglement in finite spin systems
• Factorization in XYZ spin systems under general fields and separable ground state engineering
• Detection of unbroken phase of non-Hermitian system via Hermitian factorization surface
• Polarized ensembles of random pure states
• Phase diagram of the XXZ ferrimagnetic spin-(1/2, 1) chain in the presence of transverse magnetic field
• Separability and parity transitions in $XYZ$ spin systems under nonuniform fields
• Frustrated mixed-spin ladders: Evidence for a bond order wave phase between rung-singlet and Haldane phases
• Distribution of entanglement with variable range interactions
• Ground state separability and criticality in interacting many-particle systems
• Quantum-classical equivalence and ground-state factorization