Spin models of quasi-1D quantum ferrimagnets with competing interactions

Details Spin models of quasi-1D quantum ferrimagnets with competing interactions Spin models of quasi-1D quantum ferrimagnets with competing interactions

2009-09-11

arxiv.org/abs/0909.2182v1

Condensed Matter Physics v. 12, No. 3, pp. 435-447 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

13 pages, 7 figures, a review article, to appear in Condensed Matter Physics

Scientific paper

We present a brief survey of the recent theoretical work related to generic Heisenberg spin models describing quasi-one-dimensional quantum ferrimagnets. The emphasis is on quantum chains and ladders with strong competing interactions, such as the frustrated $J_1-J_2$ chain with alternating (1,1/2) spins, the spin-1/2 diamond chain with four-spin cyclic couplings, and some generic types of mixed-spin ladders with geometric frustration. As a rule, discussed models exhibit rich quantum phase diagrams and provide some interesting examples of one-dimensional magnetic-paramagnetic quantum phase transitions. A number of open problems in the reviewed research area are discussed.

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