Nematic fluctuations balancing the zoo of phases in half-filled quantum Hall systems

Andrej Mesaros, Michael J. Lawler, Eun Ah Kim

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6 Scopus citations


Half-filled Landau levels form a zoo of strongly correlated phases. These include non-Fermi-liquids (NFLs), fractional quantum Hall (FQH) states, nematic phases, and FQH nematic phases. This diversity begs the following question: what keeps the balance between the seemingly unrelated phases? The answer is elusive because the Halperin-Lee-Read description that offers a natural departure point is inherently strongly coupled. However, the observed nematic phases suggest that nematic fluctuations play an important role. To study this possibility, we apply a recently formulated controlled double-expansion approach in large-N composite fermion flavors and small ϵ nonanalytic bosonic action to the case with both gauge and nematic boson fluctuations. In the vicinity of a nematic quantum critical line, we find that depending on the amount of screening of the gauge- and nematic-mediated interactions controlled by ϵ's, the renormalization-group flow points to all four mentioned correlated phases. When pairing preempts the nematic phase, NFL behavior is possible at temperatures above the pairing transition. We conclude by discussing measurements at low tilt angles, which could reveal the stabilization of the FQH phase by nematic fluctuations.

Original languageEnglish
Article number125127
JournalPhysical Review B
Issue number12
StatePublished - 23 Mar 2017

Bibliographical note

Funding Information:
A.M. and E-A.K. are supported by the U.S. Department of Energy, Office of Basic Energy Sciences, Division of Materials Science and Engineering under Award No. DE-SC0010313. E-A.K. acknowledges support through the Simons Fellowship for Theoretical Physics. E-A.K. and M.J.L. are grateful for the hospitality of KITP during the completion of this work.

Publisher Copyright:
© 2017 American Physical Society.


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