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Title: Three-body interactions in generic fractional quantum Hall systems and impact of Galilean invariance breaking
Authors: Yang, Bo
Keywords: DRNTU::Science::Physics
Three-body Interactions
Galilean Invariance
Issue Date: 2018
Source: Yang, B. (2018). Three-body interactions in generic fractional quantum Hall systems and impact of Galilean invariance breaking. Physical Review B, 98(20), 201101-. doi: 10.1103/PhysRevB.98.201101
Series/Report no.: Physical Review B
Abstract: We derive full analytic expressions of three-body interactions from Landau-level (LL) mixing in fractional quantum Hall systems with Schrieffer-Wolff transformation. The formalism can be applied to any LL, and to very general systems without rotational or Galilean invariance. We illustrate how three-body pseudopotentials can be readily computed from the analytical expressions for a wide variety of different systems, and show that for realistic systems, softening the bare Coulomb interactions (e.g., finite thickness or screening) can significantly suppress three-body interactions. More interestingly, for experimental systems without Galilean invariance (which is common for real materials), there is strong evidence that higher orders in band dispersion can drive the Moore-Read state from anti-Pfaffian to Pfaffian phase. Our analysis points to the importance of the realistic band structure details to the non-Abelian topological phases, and the analytical expressions we derived can also be very useful for high fidelity numerical computations.
ISSN: 2469-9950
DOI: 10.1103/PhysRevB.98.201101
Rights: © 2018 American Physical Society. This paper was published in Physical Review B and is made available as an electronic reprint (preprint) with permission of American Physical Society. The published version is available at: []. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
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