Skip to content Skip to navigation
University of Warwick
  • Study
  • |
  • Research
  • |
  • Business
  • |
  • Alumni
  • |
  • News
  • |
  • About

University of Warwick
Publications service & WRAP

Highlight your research

  • WRAP
    • Home
    • Search WRAP
    • Browse by Warwick Author
    • Browse WRAP by Year
    • Browse WRAP by Subject
    • Browse WRAP by Department
    • Browse WRAP by Funder
    • Browse Theses by Department
  • Publications Service
    • Home
    • Search Publications Service
    • Browse by Warwick Author
    • Browse Publications service by Year
    • Browse Publications service by Subject
    • Browse Publications service by Department
    • Browse Publications service by Funder
  • Help & Advice
University of Warwick

The Library

  • Login
  • Admin

Dimensionless ratios : characteristics of quantum liquids and their phase transitions

Tools
- Tools
+ Tools

Yu, Yi-Cong, Chen, Yang-Yang, Lin, Hai-Qing, Römer, Rudolf A. and Guan, Xi-Wen (2016) Dimensionless ratios : characteristics of quantum liquids and their phase transitions. Physical Review B (Condensed Matter and Materials Physics), 94 (19). 195129. doi:10.1103/PhysRevB.94.195129

[img] PDF
WRAP_0270198-px-161116-prx-tll-resubmit-f-rv6.pdf - Accepted Version - Requires a PDF viewer.

Download (3776Kb)
Official URL: http://dx.doi.org/10.1103/PhysRevB.94.195129

Request Changes to record.

Abstract

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.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Divisions: Faculty of Science, Engineering and Medicine > Science > Physics
Library of Congress Subject Headings (LCSH): Quantum liquids, Fermi liquids, Phase transformations (Statistical physics), Fermions
Journal or Publication Title: Physical Review B (Condensed Matter and Materials Physics)
Publisher: American Physical Society
ISSN: 1098-0121
Official Date: 15 November 2016
Dates:
DateEvent
15 November 2016Published
31 October 2016Accepted
30 November 2015Submitted
Volume: 94
Number: 19
Article Number: 195129
DOI: 10.1103/PhysRevB.94.195129
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Funder: China. Guo jia ke xue ji shu bu [Ministry of Science and Technology] (CMST), Guo jia zi ran ke xue ji jin wei yuan hui (China) [National Natural Science Foundation of China] (NSFC), Zhongguo ke xue yuan [Chinese Academy of Sciences] (CAS)
Grant number: 2012CB922101, 2011CB92220 (CMST), 11534014, 11374331, 1130435 (NSFC)

Request changes or add full text files to a record

Repository staff actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics

twitter

Email us: wrap@warwick.ac.uk
Contact Details
About Us