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Perturbative study of thermodynamic properties for the two-leg spin ladder
Affiliation:1. Ural Federal University, Ekaterinburg, Russia;2. Institute of Metal Physics, Ekaterinburg, Russia;1. School of Physics, Southeast University, Nanjing 211189, China;2. State Key Laboratory of High Performance Ceramics and Superfine Microstructure, Shanghai Institute of Ceramics, Chinese Academy of Sciences, Shanghai 200050, China;3. Department of Materials Science and Engineering, Nanjing University, Nanjing 210008, China;4. National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093, China;5. Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210008, China;1. Integrated Nanotechnology Research Center (INRC), Khon Kaen University, Khon Kaen, 40002 Thailand;2. School of General Science, Faculty of Liberal Arts, Rajamangala University of Technology Rattanakosin, Wang Klai Kangwon Campus, 77110, Thailand;1. Department of Chemistry, University of Warsaw, Al. Żwirki i Wigury 101, PL-02-089 Warsaw, Poland;2. Faculty of Physics, Warsaw University of Technology, PL-00-662 Warsaw, Poland;3. Center for Study Matter at Extreme Conditions, Florida International University, Miami, FL 33199, USA;1. LUSAC EA 4253, UNICAEN, Rue Aragon, 50130 Cherbourg, France;2. CRISMAT UMR 6508-CNRS, UNICAEN, 6Bd Maréchal Juin, 14050 Caen Cedex 4, France;3. Fac de Ciências e Tecnologia–FCT, Univ Estadual Paulista – UNESP, P.O Box 467, Presidente Prudente, SP, 19060-900, Brazil
Abstract:We apply finite-temperature perturbation theory to study thermodynamic properties of the two-leg antiferromagnetic spin ladder in the strong interchain coupling limit. The internal energy, specific heat and uniform susceptibility are calculated analytically by third-order perturbation expansions. At zero temperature, the present method results in the same ground state energy as that obtained by the strong coupling expansion without temperature. At finite-temperature, we obtain a peak in the specific heat and a broad maximum in the uniform susceptibility. The results agree quite well with experimental data for the material Cu2(C5H12N2)2Cl4 and the numerical data of 8-order series expansion theory.
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