The quantum Hall effect in the absence of disorder

Journal Article · 02 March 2021 · npj Quantum Materials

DOI: https://doi.org/10.1038/s41535-021-00321-w · OSTI ID:1768902

Kim, Kyung-Su ; Kivelson, Steven A.

Abstract It is widely held that disorder is essential to the existence of a finite interval of magnetic field in which the Hall conductance is quantized, i.e., for the existence of “plateaus” in the quantum Hall effect. Here, we show that the existence of a quasi-particle Wigner crystal (QPWC) results in the persistence of plateaus of finite extent even in the limit of vanishing disorder. Several experimentally detectable features that characterize the behavior in the zero disorder limit are also explored.

• Research Organization: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
• Sponsoring Organization: USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division
• Grant/Contract Number: AC02-76SF00515
• OSTI ID: 1768902
• Journal Information: npj Quantum Materials, Journal Name: npj Quantum Materials Journal Issue: 1 Vol. 6; ISSN 2397-4648
• Publisher: Nature Publishing GroupCopyright Statement
• Country of Publication: United Kingdom
• Language: English