Finite-temperature scaling of magnetic susceptibility and the geometric phase in the XY spin chain

DOI10.1088/1751-8113/42/39/395002zbMATH Open1179.82038arXiv0806.2476OpenAlexW3100595370MaRDI QIDQ3650411

Publication date: 14 December 2009

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/0806.2476

zbMATH Keywords

magnetic susceptibility geometric phase XY spin chain

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Many-body theory; quantum Hall effect (81V70) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27) Statistical mechanics of magnetic materials (82D40)