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Phase Diagrams of Mixed Spin Chains with Period 4 by the Nonlinear $sigma$ Model | | Ken’ichi Takano
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7 Nov 1999 | | Subject: | Strongly Correlated Electrons; Statistical Mechanics | cond-mat.str-el cond-mat.stat-mech | | Abstract: | We study mixed quantum spin chains consisting of two kinds of spins with magnitudes, s_a and s_b. The spins are arrayed as s_a-s_a-s_b-s_b in a unit cell and the exchange couplings are accordingly periodic with period 4. The spin Hamiltonian is mapped onto a nonlinear $sigma$ model based on the general formula for periodic inhomogeneous spin chains. The gapless condition given by the nonlinear $sigma$ model determines boundaries between disordered phases in the space of the exchange parameters. The phase diagram has a rich phase structure characterized by the values of s_a and s_b. We explain all phases in the singlet-cluster-solid picture which is an extension of the valence-bond-solid picture. | | Source: | arXiv, cond-mat/9911098 | | Services: | Forum | Review | PDF | Favorites | |
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