A Unified Approach to the Thermodynamics and Quantum Scaling Functions of One-Dimensional Strongly Attractive SU(w) Fermi Gases
Yu, Yi-Cong; Guan, Xi-Wen2
刊名CHINESE PHYSICS LETTERS
2017-06-01
卷号34期号:7
DOI10.1088/0256-307X/34/7/070501
文献子类Article
英文摘要We present a unified derivation of the pressure equation of states, thermodynamics and scaling functions for the one-dimensional (1D) strongly attractive Fermi gases with SU(w) symmetry. These physical quantities provide a rigorous understanding on a universality class of quantum criticality characterized by the critical exponents v = 1/2 and correlation length exponent z = 1/ 2. Such a universality class of quantum criticality can occur when the Fermi sea of one branch of charge bound states starts to fill or becomes gapped at zero temperature. The quantum critical cone can be determined by the double peaks in specific heat, which serve to mark two crossover temperatures fanning out from the critical point. Our method opens to further study on quantum phases and phase transitions in strongly interacting fermions with large SU(w) and non-SU(w) symmetries in one dimension.
WOS关键词DELTA-FUNCTION INTERACTION ; TONKS-GIRARDEAU GAS ; MANY-BODY PROBLEM ; KONDO PROBLEM ; BETHE-ANSATZ ; SPIN ; SYSTEMS ; MODELS ; BOSONS ; ATOMS
WOS研究方向Physics
语种英语
WOS记录号WOS:000410696400010
资助机构National Natural Science Foundation of China(11374331) ; National Natural Science Foundation of China(11374331) ; NSFC(11534014) ; NSFC(11534014) ; Australian Research Council ; Australian Research Council ; National Natural Science Foundation of China(11374331) ; National Natural Science Foundation of China(11374331) ; NSFC(11534014) ; NSFC(11534014) ; Australian Research Council ; Australian Research Council
内容类型期刊论文
源URL[http://ir.wipm.ac.cn/handle/112942/11383]  
专题武汉物理与数学研究所_理论与交叉研究部
作者单位1.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
2.Chinese Acad Sci, Wuhan Inst Phys & Math, State Key Lab Magnet Resonance & Atom & Mol Phys, Wuhan 430071, Hubei, Peoples R China
3.Chinese Acad Sci, Ctr Cold Atom Phys, Wuhan 430071, Hubei, Peoples R China
4.Australian Natl Univ, Res Sch Phys & Engn, Dept Theoret Phys, Canberra, ACT 0200, Australia
推荐引用方式
GB/T 7714
Yu, Yi-Cong,Guan, Xi-Wen. A Unified Approach to the Thermodynamics and Quantum Scaling Functions of One-Dimensional Strongly Attractive SU(w) Fermi Gases[J]. CHINESE PHYSICS LETTERS,2017,34(7).
APA Yu, Yi-Cong,&Guan, Xi-Wen.(2017).A Unified Approach to the Thermodynamics and Quantum Scaling Functions of One-Dimensional Strongly Attractive SU(w) Fermi Gases.CHINESE PHYSICS LETTERS,34(7).
MLA Yu, Yi-Cong,et al."A Unified Approach to the Thermodynamics and Quantum Scaling Functions of One-Dimensional Strongly Attractive SU(w) Fermi Gases".CHINESE PHYSICS LETTERS 34.7(2017).
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