Unconventional Zn parton states at ν=7/3: Role of finite width

被引:20
作者
Faugno, William N. [1 ,3 ]
Zhao, Tongzhou [1 ]
Balram, Ajit C. [2 ]
Jolicoeur, Thierry [3 ]
Jain, Jainendra K. [1 ]
机构
[1] Penn State Univ, Dept Phys, 104 Davey Lab, University Pk, PA 16802 USA
[2] HBNI, Inst Math Sci, CIT Campus, Chennai 600113, Tamil Nadu, India
[3] Univ Paris Saclay, Inst Phys Theor, CEA, CNRS, F-91190 Gif Sur Yvette, France
关键词
The work at Penn State was supported by the US Department of Energy; Office of Basic Energy Sciences; under Grant No. DE-SC0005042. A.C.B. acknowledges the Science and Engineering Research Board (SERB) of the Department of Science and Technology (DST) for funding support via the Start-up Grant SRG/2020/000154. Some portions of this research were conducted with Advanced CyberInfrastructure computational resources provided by The Institute for CyberScience at The Pennsylvania State University. Some of the numerical calculations reported in this work were carried out on the Nandadevi supercomputer; which is maintained and supported by the Institute of Mathematical Science's High Performance Computing center. One of us (Th.J.) acknowledges CEA-DRF for providing CPU time on the supercomputer COBALT at GENCI-CCRT;
D O I
10.1103/PhysRevB.103.085303
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A recent work [Balram, Jain, and Barkeshli, Phys. Rev. Res. 2, 013349 (2020)] has suggested that an unconventional state describing Z(n) superconductivity of composite bosons, which supports excitations with charge 1/(3n) of the electron charge, is energetically better than the Laughlin wave function at nu = 7/3 in GaAs systems. All experiments to date, however, are consistent with the latter. To address this discrepancy, we study the effect of finite width on the ground state and predict a phase transition from an unconventional Z(n) state at small widths to the Laughlin state for widths exceeding similar to 1.5 magnetic lengths. We also determine the parameter region where an unconventional state is stabilized in the one-third filled zeroth Landau level in bilayer graphene. The roles of Landau level mixing and spin are also considered.
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页数:10
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