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Information Journal Paper

Title

Thermodynamic Response Functions in the Quantum Critical Region of Spin-1/2 XY Chain Model

Pages

  81-88

Abstract

 The spin-1/2 XY chain model in the presence of a transverse magnetic field is considered. The ground state phase diagram consists of two gapped ferromagnetic and the paramagnetic phases. These two phases are separated from each other by the quantum critical point, a neighborhood of which, is known as the Quantum Critical Region. First, using the Fermionization approach the Hamiltonian is diagonalized and the spectrum is obtained. Then, using energy spectrum of the system, free energy and thermodynamic quantities such as entropy, Specific Heat, magnetic expansion coefficient and Grü neisen ratio are calculated and the behavior of these quantities is studied in the Quantum Critical Region. Results show that the different behavior of the Specific Heat in the critical region is related to the work in the isothermal process. Moreover, the Grü neisen ratio is always independent of the temperature in the critical quantum regions.

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  • Cite

    APA: Copy

    Mashhour, Samira, Oskooeian, Mohammed, MAHDAVIFAR, SAEED, & Jafari, Rouhollah. (2020). Thermodynamic Response Functions in the Quantum Critical Region of Spin-1/2 XY Chain Model. IRANIAN JOURNAL OF APPLIED PHYSICS, 10(3 (22) ), 81-88. SID. https://sid.ir/paper/382699/en

    Vancouver: Copy

    Mashhour Samira, Oskooeian Mohammed, MAHDAVIFAR SAEED, Jafari Rouhollah. Thermodynamic Response Functions in the Quantum Critical Region of Spin-1/2 XY Chain Model. IRANIAN JOURNAL OF APPLIED PHYSICS[Internet]. 2020;10(3 (22) ):81-88. Available from: https://sid.ir/paper/382699/en

    IEEE: Copy

    Samira Mashhour, Mohammed Oskooeian, SAEED MAHDAVIFAR, and Rouhollah Jafari, “Thermodynamic Response Functions in the Quantum Critical Region of Spin-1/2 XY Chain Model,” IRANIAN JOURNAL OF APPLIED PHYSICS, vol. 10, no. 3 (22) , pp. 81–88, 2020, [Online]. Available: https://sid.ir/paper/382699/en

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