1. Duality and ground-state phase diagram for the quantum XYZ model with arbitrary spin in one spatial dimension.
- Author
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Qian-Qian Shi, Sheng-Hao Li, and Huan-Qiang Zhou
- Subjects
- *
PHASE diagrams , *QUANTUM phase transitions , *CRITICAL point (Thermodynamics) - Abstract
Five duality transformations are unveiled for the quantum XYZ model with arbitrary spin in one spatial dimension. The presence of these duality transformations, together with an extra Hamiltonian symmetry, drastically reduce the entire ground-state phase diagram to two finite regimes—the principal regimes, with all the other ten regimes dual to them. Combining with the determination of critical points from the conventional order parameter approach and/or the fidelity approach to quantum phase transitions, we are able to map out the ground-state phase diagram for the quantum XYZ model with arbitrary spin . This is explicitly demonstrated for and 2. As it turns out, all the critical points, with central charge , are self-dual for half-integer as well as integer spin . However, in the latter case, the presence of the Haldane phase results in extra lines of critical points with central charge , which are not self-dual. [ABSTRACT FROM AUTHOR]
- Published
- 2020
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