TY - JOUR

T1 - Fractional Quantum Hall Effect at ν=2+6/13

T2 - The Parton Paradigm for the Second Landau Level

AU - Coimbatore Balram, Ajit

AU - Mukherjee, Sutirtha

AU - Park, Kwon

AU - Barkeshli, Maissam

AU - Rudner, Mark Spencer

AU - Jain, Jainendra

N1 - [Qdev]

PY - 2018/11/1

Y1 - 2018/11/1

N2 - The unexpected appearance of a fractional quantum Hall effect (FQHE) plateau at $\nu=2+6/13$~ [Kumar \emph{et al.}, Phys. Rev. Lett. {\bf 105}, 246808 (2010)] offers a clue into the physical mechanism of the FQHE in the second Landau level (SLL). Here we propose a ``$\bar{3}\bar{2}111$'' parton wave function, which is topologically distinct from the 6/13 state in the lowest Landau level. We demonstrate the $\bar{3}\bar{2}111$ state to be a good candidate for the $\nu=2+6/13$ FQHE, and make predictions for experimentally measurable properties that can reveal the nature of this state. Furthermore, we propose that the ``$\bar{n}\bar{2}111$'' family of parton states naturally describes many observed SLL FQHE plateaus.

AB - The unexpected appearance of a fractional quantum Hall effect (FQHE) plateau at $\nu=2+6/13$~ [Kumar \emph{et al.}, Phys. Rev. Lett. {\bf 105}, 246808 (2010)] offers a clue into the physical mechanism of the FQHE in the second Landau level (SLL). Here we propose a ``$\bar{3}\bar{2}111$'' parton wave function, which is topologically distinct from the 6/13 state in the lowest Landau level. We demonstrate the $\bar{3}\bar{2}111$ state to be a good candidate for the $\nu=2+6/13$ FQHE, and make predictions for experimentally measurable properties that can reveal the nature of this state. Furthermore, we propose that the ``$\bar{n}\bar{2}111$'' family of parton states naturally describes many observed SLL FQHE plateaus.

U2 - 10.1103/PhysRevLett.121.186601

DO - 10.1103/PhysRevLett.121.186601

M3 - Journal article

VL - 121

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 18

M1 - 186601

ER -