Geraedts, Scott D. and Zaletel, Michael P. and Mong, Roger S. K. and Metlitski, Max A. and Vishwanath, Ashvin and Motrunich, Olexei I. (2016) The half-filled Landau level: the case for Dirac composite fermions. Science, 352 (6282). pp. 197-201. ISSN 0036-8075. doi:10.1126/science.aad4302. https://resolver.caltech.edu/CaltechAUTHORS:20160404-074621321
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Abstract
In a two-dimensional electron gas under a strong magnetic field, correlations generate emergent excitations distinct from electrons. It has been predicted that “composite fermions”—bound states of an electron with two magnetic flux quanta—can experience zero net magnetic field and form a Fermi sea. Using infinite-cylinder density matrix renormalization group numerical simulations, we verify the existence of this exotic Fermi sea, but find that the phase exhibits particle-hole symmetry. This is self-consistent only if composite fermions are massless Dirac particles, similar to the surface of a topological insulator. Exploiting this analogy, we observe the suppression of 2k_F backscattering, a characteristic of Dirac particles. Thus, the phenomenology of Dirac fermions is also relevant to two-dimensional electron gases in the quantum Hall regime.
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| Additional Information: | © 2016 American Association for the Advancement of Science. Received 15 September 2015; accepted 16 February 2016. We enjoyed conversations with M. Barkeshli, M. Fisher, D. Haldane, R. Mishmash, C. Nayak, N. Read, E. Rezayi, D. Son, and T. Senthil. We particularly thank M. Barkeshli for first bringing the enigma of PH symmetry to our attention. R.M. and A.V. acknowledge KITP for hospitality. Supported by the National Science Engineering Research Council of Canada and U.S. Department of Energy BES grant de-sc0002140 (S.G.), the Sherman Fairchild Foundation (R.M.), U.S. Army Research Office grant W911NF-14-1-0379 (M.M.), a Simons Investigator Award (A.V.), NSF grant PHY11-25915 (R.M. and A.V.), NSF grant DMR 1206096 (S.G. and O.I.M.), and the Caltech Institute for Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation. During the completion of this work, reference (53) appeared, which also provides a theoretical discussion of the PH-symmetric CFL. | ||||||||||||||||||||||
| Group: | Institute for Quantum Information and Matter | ||||||||||||||||||||||
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| Issue or Number: | 6282 | ||||||||||||||||||||||
| DOI: | 10.1126/science.aad4302 | ||||||||||||||||||||||
| Record Number: | CaltechAUTHORS:20160404-074621321 | ||||||||||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20160404-074621321 | ||||||||||||||||||||||
| Official Citation: | The half-filled Landau level: The case for Dirac composite fermions By Scott D. Geraedts, Michael P. Zaletel, Roger S. K. Mong, Max A. Metlitski, Ashvin Vishwanath, Olexei I. Motrunich Science 08 Apr 2016 : 197-201 | ||||||||||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||||||||
| ID Code: | 65872 | ||||||||||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||||||||||
| Deposited By: | Ruth Sustaita | ||||||||||||||||||||||
| Deposited On: | 04 Apr 2016 19:10 | ||||||||||||||||||||||
| Last Modified: | 10 Nov 2021 23:50 |
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