Abstract
We study the two-dimensional electron gas in a magnetic field at filling fraction ν=12. At this filling the system is in a gapless state which can be interpreted as a Fermi liquid of composite fermions. We construct trial wave functions for the system on a torus, based on this idea, and numerically compare these to exact wave functions for small systems found by exact diagonalization. We find that the trial wave functions give an excellent description of the ground state of the system, as well as its charged excitations, in all momentum sectors. We analyze the dispersion of the composite fermions and the Berry phase associated with dragging a single fermion around the Fermi surface and comment on the implications of our results for the current debate on whether composite fermions are Dirac fermions.
| Original language | English |
|---|---|
| Article number | 035149 |
| Journal | Physical Review B |
| Volume | 97 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 22 Jan 2018 |
Funding
We thank Nicolas Regnault, Cecile Repellin, Ajit C Balram, Jainendra Jain, and Lars Fritz for discussions. This work was supported through SFI Principal Investigator Award 12/IA/1697. We also wish to acknowledge the SFI/HEA Irish Centre for High-End Computing (ICHEC) for the provision of computational facilities and support. S.H.S. is supported by EPSRC Grant No. EP/I031014/1 and No. EP/N01930X/1. Statement of compliance with EPSRC policy framework on research data: This publication is theoretical work that does not require supporting research data. APPENDIX A:
Fingerprint
Dive into the research topics of 'Trial wave functions for a composite Fermi liquid on a torus'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver