Dimensionless ratios: Characteristics of quantum liquids and their phase transitions
Yu, Yi-Cong1; Chen, Yang-Yang1; Lin, Hai-Qing2; Roemer, Rudolf A.3,4; Guan, Xi-Wen1,5,6
刊名PHYSICAL REVIEW B
2016-11-15
卷号94期号:19
英文摘要Dimensionless ratios of physical properties can characterize low-temperature phases in a wide variety of materials. As such, the Wilson ratio (WR), the Kadowaki-Woods ratio, and the Wiedemann-Franz law capture essential features of Fermi liquids in metals, heavy fermions, etc. Here we prove that the phases of many-body interacting multicomponent quantum liquids in one dimension (1D) can be described by WRs based on the compressibility, susceptibility, and specific heat associated with each component. These WRs arise due to additivity rules within subsystems reminiscent of the rules for multiresistor networks in series and parallel-a novel and useful characteristic of multicomponent Tomonaga-Luttinger liquids (TLL) independent of microscopic details of the systems. Using experimentally realized multispecies cold atomic gases as examples, we prove that the Wilson ratios uniquely identify phases of TLL, while providing universal scaling relations at the boundaries between phases. Their values within a phase are solely determined by the stiffnesses and sound velocities of subsystems and identify the internal degrees of freedom of said phase such as its spin degeneracy. This finding can be directly applied to a wide range of 1D many-body systems and reveals deep physical insights into recent experimental measurements of the universal thermodynamics in ultracold atoms and spins.
WOS标题词Science & Technology ; Physical Sciences
类目[WOS]Physics, Condensed Matter
研究领域[WOS]Physics
关键词[WOS]DELTA-FUNCTION INTERACTION ; MANY-BODY PROBLEM ; FERMI GAS ; LUTTINGER LIQUID ; SPIN ; METALS ; SYSTEMS ; BOSONS
收录类别SCI
语种英语
WOS记录号WOS:000387889000003
内容类型期刊论文
源URL[http://ir.wipm.ac.cn/handle/112942/9974]  
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.Chinese Acad Sci, Wuhan Inst Phys & Math, State Key Lab Magnet Resonance & Atom & Mol Phys, Wuhan 430071, Peoples R China
2.Beijing Computat Sci Res Ctr, Beijing 100094, Peoples R China
3.Univ Warwick, Dept Phys, Coventry CV4 7AL, W Midlands, England
4.Univ Warwick, Ctr Comp Sci, Coventry CV4 7AL, W Midlands, England
5.Chinese Acad Sci, Ctr Cold Atom Phys, Wuhan 430071, Peoples R China
6.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,Chen, Yang-Yang,Lin, Hai-Qing,et al. Dimensionless ratios: Characteristics of quantum liquids and their phase transitions[J]. PHYSICAL REVIEW B,2016,94(19).
APA Yu, Yi-Cong,Chen, Yang-Yang,Lin, Hai-Qing,Roemer, Rudolf A.,&Guan, Xi-Wen.(2016).Dimensionless ratios: Characteristics of quantum liquids and their phase transitions.PHYSICAL REVIEW B,94(19).
MLA Yu, Yi-Cong,et al."Dimensionless ratios: Characteristics of quantum liquids and their phase transitions".PHYSICAL REVIEW B 94.19(2016).
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