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Quantum phase transition in easy-axis antiferromagnetic integer-spin chains

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arxiv cond-mat/0307266 v1 pith:7U4GJPSB submitted 2003-07-11 cond-mat.str-el

classification cond-mat.str-el
keywords quantumanisotropyeasy-axisspintransitionantiferromagneticchainsfluctuations
verification ladder T0 review T1 audit T2 compute T3 formal
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Antiferromagnetic Heisenberg integer-spin chains are characterized by a spin-liquid ground state with no long-range order, due to the relevance of quantum fluctuations. Spin anisotropy, however, freezes quantum fluctuations, and the system is magnetized in the presence of a sufficiently large easy-axis anisotropy. We numerically investigate the case S=1, by means of the density-matrix renormalization group, and find that the freezing of the spin liquid into a N\'eel spin solid, with increasing easy-axis anisotropy, is a continuous quantum phase transition. Numerical evidence indicates that the transition is not in the two-dimensional Ising universality class.

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