Particle-Hole Symmetry and the Fractional Quantum Hall Effect in the Lowest Landau Level

被引：13

作者：

Pan, W. ^{[1
,2
,3
]}

Kang, W. ^{[4
]}

Lilly, M. P. ^{[3
]}

Reno, J. L. ^{[3
]}

Baldwin, K. W. ^{[5
]}

West, K. W. ^{[5
]}

Pfeiffer, L. N. ^{[5
]}

Tsui, D. C. ^{[5
]}

机构：

[1] Sandia Natl Labs, Dept Mat Phys, Livermore, CA 94551 USA

[2] Sandia Natl Labs, Quantum Phenomena Dept, Albuquerque, NM 87185 USA

[3] Sandia Natl Labs, Ctr Integrated Nanotechnol, Albuquerque, NM 87185 USA

[4] Univ Chicago, Dept Phys, Chicago, IL 60637 USA

[5] Princeton Univ, Dept Elect Engn, Princeton, NJ 08544 USA

来源：

PHYSICAL REVIEW LETTERS | 2020年 / 124卷 / 15期

基金：

美国国家科学基金会;

关键词：

COMPOSITE FERMIONS; STATISTICS; STATES; ENERGIES; PHASE; GAP;

D O I：

10.1103/PhysRevLett.124.156801

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We report on detailed experimental studies of a high-quality heterojunction insulated-gate field-effect transistor (HIGFET) to probe the particle-hole symmetry of the fractional quantum Hall effect (FQHE) states about half-filling in the lowest Landau level. The HIGFET is specially designed to vary the density of a two-dimensional electronic system under constant magnetic fields. We find in our constant magnetic field, variable density measurements that the sequence of FQHE states at filling factors nu = 1/3, 2/5, 3/7. and its particle-hole conjugate states at filling factors 1-nu = 2/3, 3/5, 4/7. have a very similar energy gap. Moreover, a reflection symmetry can be established in the magnetoconductivities between the nu and 1-nu states about half-filling. Our results demonstrate that the FQHE states in the lowest Landau level are manifestly particle-hole symmetric.

引用

页数：6

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