Finite-Temperature Scaling of Magnetic Susceptibility and Geometric Phase in the XY Spin Chain
arXiv:0806.2476 · doi:10.1088/1751-8113/42/39/395002
Abstract
We study the magnetic susceptibility of 1D quantum XY model, and show that when the temperature approaches zero, the magnetic susceptibility exhibits the finite-temperature scaling behavior. This scaling behavior of the magnetic susceptibility in 1D quantum XY model, due to the quantum-classical mapping, can be easily experimentally tested. Furthermore, the universality in the critical properties of the magnetic susceptibility in quantum XY model is verified. Our study also reveals the close relation between the magnetic susceptibility and the geometric phase in some spin systems, where the quantum phase transitions are driven by an external magnetic field.
6 pages, 4 figures, get accepted for publication by J. Phys. A: Math. Theor
References in corpus (26)
- Quantum Criticality in Heavy Fermion Metals
- Ground state overlap and quantum phase transitions
- Bose-Einstein Condensation in Magnetic Insulators
- Decay of Loschmidt Echo Enhanced by Quantum Criticality
- Quantum criticality
- Quantum magnetism and criticality
- Entanglement and quantum phase transition in the extended Hubbard model
- Scaling of geometric phases close to quantum phase transition in the XY chain
- Geometric phases and criticality in spin chain systems
- Mixed-state fidelity and quantum criticality at finite temperature
- Magnetic Susceptibility as a Macrosopic Entaglement Witness
- Crucial Role of Quantum Entanglement in Bulk Properties of Solids
- High Temperature Macroscopic Entanglement
- Criticality in correlated quantum matter
- Entanglement and Quantum Phase Transition in Low Dimensional Spin Systems
- Divergence of the entanglement range in low dimensional quantum systems
- Quantum Fidelity and Thermal Phase Transitions
- Heat Capacity as A Witness of Entanglement
- Scaling of Berry's Phase Close to the Dicke Quantum Phase Transition
- Geometric phases and quantum phase transitions
- Entanglement crossover close to a quantum critical point
- Rigorous Solution of the Spin-1 Quantum Ising Model with Single-ion Anisotropy
- Geometric phases and criticality in spin systems
- Geometric Phase and Quantum Phase Transition in the Lipkin-Meshkov-Glick model
- Macroscopic Entanglement and Phase Transitions
- Extracting signatures of quantum criticality in the finite-temperature behavior of many-body systems
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