• Rapid Communication

Specific heat and entropy of fractional quantum Hall states in the second Landau level

B. A. Schmidt, K. Bennaceur, S. Gaucher, G. Gervais, L. N. Pfeiffer, and K. W. West
Phys. Rev. B 95, 201306(R) – Published 30 May 2017
PDFHTMLExport Citation

Abstract

Specific heat has had an important role in the study of superfluidity and superconductivity, and could provide important information about the fractional quantum Hall effect as well. However, traditional measurements of the specific heat of a two-dimensional electron gas are difficult due to the large background contribution of the phonon bath, even at very low temperatures. Here, we report measurements of the specific heat per electron in the second Landau level by measuring the thermalization time between the electrons and phonons. We observe the activated behavior of the specific heat of the 52 and 73 fractional quantum Hall states, and extract the entropy by integrating over temperature. Our results are in excellent agreement with previous measurements of the entropy via longitudinal thermopower. Extending the technique to lower temperatures could lead to the detection of the non-Abelian entropy predicted for bulk quasiparticles at 52 filling.

  • Figure
  • Figure
  • Figure
  • Figure
  • Received 30 June 2016

DOI:https://doi.org/10.1103/PhysRevB.95.201306

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

B. A. Schmidt1, K. Bennaceur1, S. Gaucher1, G. Gervais1,*, L. N. Pfeiffer2, and K. W. West2

  • 1Department of Physics, McGill University, Montreal, Canada H3A 2T8
  • 2Department of Electrical Engineering, Princeton University, Princeton, New Jersey 08544, USA

  • *gervais@physics.mcgill.ca

Article Text (Subscription Required)

Click to Expand

Supplemental Material (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 95, Iss. 20 — 15 May 2017

Reuse & Permissions
Access Options
CHORUS

Article Available via CHORUS

Download Accepted Manuscript
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×