Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-12-25
Physics
Condensed Matter
Strongly Correlated Electrons
12 pages, 9 figures
Scientific paper
Kondo-necklace model can describe the magnetic low-energy limit of strongly correlated heavy fermion materials. There exists multiple energy scales in this model, each of which indicates a phase. Here, we study quantum phase transitions between these different phases, and show the effect of anisotropies in terms of quantum information properties and the vanishing of energy gap. We employ the perturbative unitary transformations to calculate the energy gap and spin-spin correlations for the model in spatial dimensions d=1, 2, and 3 as well as for the spin ladders. In particular, we show that the method, although being perturbative, can detect the phase transition point by imposing the spontaneous symmetry breaking, in good agreement with numerical and Green's function methods . We also use concurrence, a bipartite entanglement measure, to probe the criticality of the model. This is based on finding points or regions in which the derivative of concurrence shows non-analyticity. This concurrence is also able to detect critical points in indicative of that the quantum correlations in this model are basically bipartite. Moreover, we discuss the crossover from the 1- to 2-dimensional model via the ladder structures.
Hematian S.
Kargarian Mehdi
Langari A.
Movassagh Rahimi M.
Rezakhani Ali T.
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