Widely Tunable Quantum Phase Transition from Moore-Read to Composite Fermi Liquid in Bilayer Graphene

Zhu, Zheng; Sheng, D.  N.; Sodemann, Inti

doi:10.1103/physrevlett.124.097604

Widely Tunable Quantum Phase Transition from Moore-Read to Composite Fermi Liquid in Bilayer Graphene

Journal Article · Thu Mar 05 00:00:00 EST 2020 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.124.097604· OSTI ID:1800370

^[1]; Sheng, D. N. ^[2]; ^[3]

Harvard Univ., Cambridge, MA (United States); OSTI
California State University, Northridge (CSUN), CA (United States)
Max-Planck Institute for the Physics of Complex Systems, Dresden (Germany)

Here, we develop a proposal to realize a widely tunable and clean quantum phase transition in bilayer graphene between two paradigmatic fractionalized phases of matter: the Moore-Read fractional quantum Hall state and the composite Fermi liquid metal. This transition can be realized at total fillings $$\textit{ν}$$ = ±3 + 1/2 and the critical point can be controllably accessed by tuning either the interlayer electric bias or the perpendicular magnetic field values over a wide range of parameters. We study the transition numerically within a model that contains all leading single particle corrections to the band structure of bilayer graphene and includes the fluctuations between the $$\textit{n}$$ = 0 and $$\textit{n}$$ = 1 cyclotron orbitals of its zeroth Landau level to delineate the most favorable region of parameters to experimentally access this unconventional critical point. We also find evidence for a new anisotropic gapless phase stabilized near the level crossing of $$\textit{n}$$ = 0/1 orbits.

View Accepted Manuscript (DOE)

Research Organization:: California State University, Northridge (CSUN), CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: FG02-06ER46305

OSTI ID:: 1800370

Alternate ID(s):: OSTI ID: 1603731
OSTI ID: 1864871

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 9 Vol. 124; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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