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arXiv:cond-mat/0309267 · Journal of Statistical Physics

Quantum Phase Diagram of an Exactly Solved Mixed Spin Ladder

Murray T. Batchelor, X.-W. Guan, N. Oelkers, Z.-J. Ying

Published Aug 1, 2004• 9 citations
arXivHTMLPDF
DOI
10.1023/b:joss.0000037225.79748.98

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We introduce an exactly solvable hybrid spin-ladder model containing localized nodal Ising spins and interstitial mobile electrons, which are allowed to perform a quantum-mechanical hopping between the ladder's legs. The quantum-mechanical hopping process induces an antiferromagnetic coupling between the ladder's legs that competes with a direct exchange coupling of the nodal spins. The model is exactly mapped onto the Ising spin ladder with temperature-dependent two- and four-spin interactions, which is subsequently solved using the transfer-matrix technique. We report the ground-state phase diagram and compute the fermionic concurrence to characterize the quantum entanglement between the pair of interstitial mobile electrons. We further provide a detailed analysis of the local spin ordering including the pair and four-spin correlation functions around an elementary plaquette, as well as, the local ordering diagrams. It is shown that a complex sequence of distinct local orderings and frustrated correlations takes place when the model parameters drive the investigated system close to a zero-temperature triple coexistence point.