Even denominator fractional quantum Hall states in the zeroth Landau level of monolayer-like band of ABA trilayer graphene.
POSTER
Abstract
Even-denominator fractional quantum Hall states (FQHSs) at half-filling are particularly intriguing due
to their predicted non-Abelian excitations with non-trivial braiding statistics. Conventional theory suggests
that such states primarily emerge in the first excited Landau level, a notion supported by existing exper-
imental evidence. In this research article, we present an unexpected discovery of plausibly non-Abelian
even-denominator FQHSs in the zeroth Landau level of Bernal-stacked trilayer graphene. Specifically, we
observe robust FQHSs at filling factors ν = 5/2 and ν = 7/2, accompanied by their theoretically predicted
Levin-Halperin daughter states at ν = 9/17 and ν = 7/13, respectively. Additionally, further away from
these states, the standard Jain sequence of composite fermions (CFs) is detected. The even-denominator
FQHSs and their corresponding daughter states strengthen with increasing magnetic fields, while the CF
states weaken simultaneously. Interestingly, these even-denominator (and their daughter) FQHSs only ap-
pear at a finite displacement field, precisely when two Landau levels - originating from a monolayer-like
band of trilayer graphene with distinct isospin indices - cross each other. We propose that the system’s lack
of inversion symmetry leads to additional isospin interactions, enhancing Landau level mixing between
these intersecting states and softening the short-range component of Coulomb repulsion, thereby stabilizing
the even-denominator FQHSs. Our study challenges the current theoretical framework of even-denominator
fractional quantum Hall states and expands the range of systems where they can be explored. It positions
multilayer graphene as a promising platform for hosting Majorana excitations, potentially advancing fault-
tolerant topological quantum computing.
to their predicted non-Abelian excitations with non-trivial braiding statistics. Conventional theory suggests
that such states primarily emerge in the first excited Landau level, a notion supported by existing exper-
imental evidence. In this research article, we present an unexpected discovery of plausibly non-Abelian
even-denominator FQHSs in the zeroth Landau level of Bernal-stacked trilayer graphene. Specifically, we
observe robust FQHSs at filling factors ν = 5/2 and ν = 7/2, accompanied by their theoretically predicted
Levin-Halperin daughter states at ν = 9/17 and ν = 7/13, respectively. Additionally, further away from
these states, the standard Jain sequence of composite fermions (CFs) is detected. The even-denominator
FQHSs and their corresponding daughter states strengthen with increasing magnetic fields, while the CF
states weaken simultaneously. Interestingly, these even-denominator (and their daughter) FQHSs only ap-
pear at a finite displacement field, precisely when two Landau levels - originating from a monolayer-like
band of trilayer graphene with distinct isospin indices - cross each other. We propose that the system’s lack
of inversion symmetry leads to additional isospin interactions, enhancing Landau level mixing between
these intersecting states and softening the short-range component of Coulomb repulsion, thereby stabilizing
the even-denominator FQHSs. Our study challenges the current theoretical framework of even-denominator
fractional quantum Hall states and expands the range of systems where they can be explored. It positions
multilayer graphene as a promising platform for hosting Majorana excitations, potentially advancing fault-
tolerant topological quantum computing.
Presenters
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Tanima Chanda
- Indian Institute of Science Bengaluru