Abstract
We study the ground state of a system with an interface between ν=4 and ν=3 in the quantum Hall regime. Far from the interface, for a range of interaction strengths, the ν=3 region is fully polarized but ν=4 region is unpolarized. Upon varying the strength of the interactions and the width of the interface, the system chooses one of two distinct edge/interface phases. In phase A, stabilized for wide interfaces, spin is a good quantum number, and there are no gapless long-wavelength spin fluctuations. In phase B, stabilized for narrow interfaces, spin symmetry is spontaneously broken at the Hartree-Fock level. Going beyond Hartree-Fock, we argue that phase B is distinguished by the emergence of gapless long-wavelength spin excitations bound to the interface, which can be detected by a measurement of the relaxation time T2 in nuclear magnetic resonance.
| Original language | English |
|---|---|
| Article number | L081401 |
| Journal | Physical Review B |
| Volume | 103 |
| Issue number | 8 |
| DOIs | |
| State | Published - Feb 1 2021 |
Bibliographical note
Publisher Copyright:© 2021 American Physical Society.
Funding
Acknowledgments. We would like to thank Udit Khanna for many illuminating discussions. We would also like to thank the International Center for Theoretical Sciences, Bangalore, for its hospitality and support during the workshop “Novel Phases of Quantum Matter” (Code: ICTS/Topmatter2019/12). A.S. and G.M. would like to thank the US-Israel Binational Science Foundation for its support via Grant No. 2016130. S.R. and G.M. would like to thank the VAJRA scheme of SERB, India for its support. Y.G. was also supported by CRC 183 (project C01) of the DFG, the Minerva Foundation, DFG Grant No. RO 2247/8-1, DFG Grant No. MI 658/10-1, and the GIF Grant No. I-1505-303.10/2019. We would also like to thank the University of Kentucky Center for Computational Sciences and Information Technology Services Research Computing for their support and use of the Lipscomb Compute Cluster and associated research computing resources.
| Funders | Funder number |
|---|---|
| Minerva Foundation Institute for Medical Research Helsinki | MI 658/10-1, RO 2247/8-1 |
| Deutsche Forschungsgemeinschaft | |
| German-Israeli Foundation for Scientific Research and Development | I-1505-303.10/2019 |
| United States-Israel Binational Science Foundation | 2016130, C01, CRC 183 |
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics