2008/05/12 by J.P. de Lima, J. P. De Lima, L.L. Gonçalves +1 · 10 citations
Mathematics · Physics and Astronomy · #Condensed matter physics #Field (mathematics) #Isotropy #Magnetic field #Magnetization #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Spin (aerodynamics) #Spins #Theoretical and Computational Physics #Thermodynamics #Transverse plane #cond-mat.mtrl-sci #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevb.77.214424
published in Physical Review B 77(21) (American Physical Society) · 24 pages, 11 figures, accepted for publication in Physical Review B
arxiv created 2008/05/12 · openalex publication_date 2008/06/18 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The isotropic XY model (s=1/2) in a transverse field, with uniform long-range interactions among the transverse components of the spins, on the inhomogeneous periodic chain, is studied. The model, composed of N segments with n different exchange interactions and magnetic moments, is exactly solved by introducing the integral Gaussian transformation and the generalized Jordan--Wigner transformation, which reduce the problem to the diagonalization of a finite matrix of nth order. The quantum transitions induced by the transverse field are determined by analyzing the induced magnetization of the cell and the equation of state. The phase diagrams for the quantum transitions, in the space generated by the transverse field and the interaction parameters, are presented. As expected, the model presents multiple, first- and second-order quantum transitions induced by the transverse field, and it corresponds to an extension of the models recently considered by the authors. Detailed results are also presented, at T=0, for the induced magnetization and isothermal susceptibility \ensuremathχTzz as a function of the transverse field.