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Published May 15, 2010 | Published + Submitted
Journal Article Open

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

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.

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.).

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Published - Zou2010p10317Phys_Rev_B.pdf

Submitted - 0912.2351.pdf

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