Trial Wavefunctions for the Goldstone Mode in 𝜈=1/2+1/2 Quantum Hall Bilayers
Simon, Steven H.
MetadataShow full item record
Möller, G., & Simon, S. H. (2010). Trial Wavefunctions for the Goldstone Mode in 𝜈=1/2+1/2 Quantum Hall Bilayers. https://doi.org/10.1155/2011/815169
Based on the known physics of the excitonic superfluid or 111 state of the quantum Hall 𝜈=1/2+1/2 bilayer, we create a simple trial wavefunction ansatz for constructing a low-energy branch of (Goldstone) excitations by taking the overall ground state and boosting one layer with respect to the other. This ansatz works extremely well for any interlayer spacing. For small 𝑑, this is simply the physics of the Goldstone mode, whereas for large 𝑑, this is a reflection of composite fermion physics. We find hints that certain aspects of composite fermion physics persist to low 𝑑 whereas certain aspects of Goldstone mode physics persist to high 𝑑. Using these results, we show nonmonotonic behavior of the Goldstone mode velocity as a function of 𝑑.
External DOI: https://doi.org/10.1155/2011/815169
This record's URL: https://www.repository.cam.ac.uk/handle/1810/267558
All Rights Reserved
Rights Holder: Copyright © 2011 Gunnar Möller and Steven H. Simon. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Licence URL: https://www.rioxx.net/licenses/all-rights-reserved/