Topological phase transition underpinning particlehole symmetry in the HalperinLeeRead theory
Abstract
We present that long wavelength descriptions of a halffilled lowest Landau level (ν = 1/2) must be consistent with the experimental observation of particlehole (PH) symmetry. The traditional description of the ν = 1/2 state pioneered by Halperin, Lee, and Read (HLR) naively appears to break PH symmetry. However, recent studies have shown that the HLR theory with weak quenched disorder can exhibit an emergent PH symmetry. We find that such inhomogeneous configurations of the ν = 1/2 fluid, when described by HLR meanfield theory, are tuned to a topological phase transition between an integer quantum Hall state and an insulator of composite fermions with a dc Hall conductivity σ$$(cf)\atop{xy}$$ = $$\frac{1}{2}$$ $$\frac{e2}{h}$$. Finally, our observations help explain why the HLR theory exhibits PH symmetric dc response.
 Authors:

 Stanford Univ., CA (United States). Stanford Institute for Theoretical Physics
 Univ. of California, Riverside, CA (United States). Department of Physics and Astronomy
 Stanford Univ., CA (United States). Stanford Institute for Theoretical Physics; SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Publication Date:
 Research Org.:
 SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Basic Energy Sciences (BES)
 OSTI Identifier:
 1475409
 Alternate Identifier(s):
 OSTI ID: 1468849
 Grant/Contract Number:
 AC0276SF00515
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review B
 Additional Journal Information:
 Journal Volume: 98; Journal Issue: 11; Journal ID: ISSN 24699950
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Kumar, Prashant, Mulligan, Michael, and Raghu, S. Topological phase transition underpinning particlehole symmetry in the HalperinLeeRead theory. United States: N. p., 2018.
Web. doi:10.1103/physrevb.98.115105.
Kumar, Prashant, Mulligan, Michael, & Raghu, S. Topological phase transition underpinning particlehole symmetry in the HalperinLeeRead theory. United States. doi:https://doi.org/10.1103/physrevb.98.115105
Kumar, Prashant, Mulligan, Michael, and Raghu, S. Wed .
"Topological phase transition underpinning particlehole symmetry in the HalperinLeeRead theory". United States. doi:https://doi.org/10.1103/physrevb.98.115105. https://www.osti.gov/servlets/purl/1475409.
@article{osti_1475409,
title = {Topological phase transition underpinning particlehole symmetry in the HalperinLeeRead theory},
author = {Kumar, Prashant and Mulligan, Michael and Raghu, S.},
abstractNote = {We present that long wavelength descriptions of a halffilled lowest Landau level (ν = 1/2) must be consistent with the experimental observation of particlehole (PH) symmetry. The traditional description of the ν = 1/2 state pioneered by Halperin, Lee, and Read (HLR) naively appears to break PH symmetry. However, recent studies have shown that the HLR theory with weak quenched disorder can exhibit an emergent PH symmetry. We find that such inhomogeneous configurations of the ν = 1/2 fluid, when described by HLR meanfield theory, are tuned to a topological phase transition between an integer quantum Hall state and an insulator of composite fermions with a dc Hall conductivity σ$(cf)\atop{xy}$ = $\frac{1}{2}$ $\frac{e2}{h}$. Finally, our observations help explain why the HLR theory exhibits PH symmetric dc response.},
doi = {10.1103/physrevb.98.115105},
journal = {Physical Review B},
number = 11,
volume = 98,
place = {United States},
year = {2018},
month = {9}
}
Web of Science
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