生成Majorana零模的一维Kitaev链模型的配分函数

IF 1.2 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL
Cheng Da , Hony-Yi Fan
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引用次数: 0

摘要

配分函数是一个重要的物理量,与各种热力学函数有关,是连接微观和宏观物理现象的关键环节。本文首次计算了产生Majorana零模(MZM)的一维Kitaev链模型的配分函数Tr exp {-iβt γj,b γj+1,a),其中yj+1,a=cj+1†+cj+1,yj,b=(cj-cj†)/i,(cj,cj†)是狄拉克费米子湮灭和创造算符。根据范定理,我们成功地解开了exp {-iβt γj,b γj+1,a)的纠缠,并利用费米子相干态表示导出了配分函数。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Partition Function for 1-Dimensional Kitaev Chain Model Engendering the Majorana Zero Mode
Partition function is an important physical quantity and is related to various thermodynamic functions, also is a key link that connects microscopic and macroscopic physical phenomena. In this article for the first time we calculate partition function Tr exp {-iβt γj,b γj+1,a) for 1-dimensional Kitaev chain model which engenders the Majorana zero mode (MZM), where yj+1,a=cj+1+cj+1,yj,b=(cj-cj)/i,(cj,cj) are Dirac fermionic annihilation and creation operators. Following Fan's theorem we successfully disentangle exp {-iβt γj,b γj+1,a) and derive the partition function by using the fermionic coherent state representation.
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来源期刊
Reports on Mathematical Physics
Reports on Mathematical Physics 物理-物理:数学物理
CiteScore
1.80
自引率
0.00%
发文量
40
审稿时长
6 months
期刊介绍: Reports on Mathematical Physics publish papers in theoretical physics which present a rigorous mathematical approach to problems of quantum and classical mechanics and field theories, relativity and gravitation, statistical physics, thermodynamics, mathematical foundations of physical theories, etc. Preferred are papers using modern methods of functional analysis, probability theory, differential geometry, algebra and mathematical logic. Papers without direct connection with physics will not be accepted. Manuscripts should be concise, but possibly complete in presentation and discussion, to be comprehensible not only for mathematicians, but also for mathematically oriented theoretical physicists. All papers should describe original work and be written in English.
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