Thermodynamic Parameters of Central Spin Coupled to an Antiferromagnetic Bath: Path Integral Formalism
Thermodynamic Parameters of Central Spin Coupled to an Antiferromagnetic Bath: Path Integral Formalism作者机构：Research Unity of Condensed Matter Electronics and Signal Processing Department of Physics Faculty of Science University of Dschang Dschang Cameroon Department of Research Development Innovation and Training SpaceKola Yaounde Cameroon Department of Electrical and Electronic Engineering College of Technology University of Buea Buea Cameroon
出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)
年 卷 期：2021年第9卷第1期
页 面：133-145页
学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学]
主 题：Path Integral Grassmann Algebra Antiferromagnetic Environment Partition Function
摘 要：A path-integral representation of central spin system immersed in an antiferromagnetic environment was investigated. To carry out this study, we made use of the discrete-time propagator method associated with a basic set involving coherent states of Grassmann variables which made it possible to obtain the analytical propagator which is the centerpiece of the study. In this study, we considered that the environment was in the low-temperature and low-excitation limit and was split into 2 subnets that do not interact with each other. The evaluation of our system was made by considering the first neighbor approximation. From the formalism of the path integrals, it is easy to evaluate the partition function and thermodynamic properties followed from an appropriate tracing over Grassmann variables in the imaginary time domain. We show that the energy of the system depends on the number of sites n when β → 0.
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