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Clausius-Clapeyron relations for first-order phase transitions in bilayer quantum Hall systems

Zou, Yue and Refael, Gil and Stern, Ady and Eisenstein, J. P. (2010) Clausius-Clapeyron relations for first-order phase transitions in bilayer quantum Hall systems. Physical Review B, 81 (20). Art. No. 205313. ISSN 0163-1829. https://resolver.caltech.edu/CaltechAUTHORS:20100615-143356094

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Abstract

A bilayer system of two-dimensional electron gases in a perpendicular magnetic field exhibits rich phenomena. At total filling factor ν_(tot)=1, as one increases the layer separation, the bilayer system goes from an interlayer-coherent exciton condensed state to an incoherent phase of, most likely, two decoupled composite-fermion Fermi liquids. Many questions still remain as to the nature of the transition between these two phases. Recent experiments have demonstrated that spin plays an important role in this transition. Assuming that there is a direct first-order transition between the spin-polarized interlayer-coherent quantum Hall state and spin partially polarized composite Fermi-liquid state, we calculate the phase boundary (d/l)_c as a function of parallel magnetic field, NMR/heat pulse, temperature, and density imbalance, and compare with experimental results. Remarkably good agreement is found between theory and various experiments.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevB.81.205313 DOIArticle
https://arxiv.org/abs/0912.2351arXivDiscussion Paper
ORCID:
AuthorORCID
Stern, Ady0000-0002-9493-268X
Additional Information:© 2010 The American Physical Society. Received 26 December 2009; revised 28 April 2010; published 17 May 2010. It is a pleasure to acknowledge useful conversations with J. Alicea, A. Champagne, H. Fertig, A. D. K Finck, A. H. MacDonald, G. Murthy, F. von Oppen, E. Rezayi, S. Simon, and I. Spielman. We thank K. Muraki for providing us the experimental data shown in Fig. 1. We are grateful for support from the research corporation, the Packard Foundation, and the Sloan foundation (G.R.), the Israel-U.S. Binational Science Foundation, the Minerva Foundation, Microsoft Station Q (A.S.), and NSF under Grant No. DMR-0552270 (J.P.E.).
Funders:
Funding AgencyGrant Number
Research CorporationUNSPECIFIED
David and Lucile Packard FoundationUNSPECIFIED
Alfred P. Sloan FoundationUNSPECIFIED
Binational Science Foundation (USA-Israel)UNSPECIFIED
Minerva FoundationUNSPECIFIED
Microsoft Station QUNSPECIFIED
NSFDMR-0552270
Issue or Number:20
Classification Code:PACS: 73.43.Nq, 71.35.Lk, 71.10.Pm
Record Number:CaltechAUTHORS:20100615-143356094
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20100615-143356094
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:18694
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:09 Jul 2010 20:11
Last Modified:09 Mar 2020 13:19

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