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An exact method for bosonizing the Fermi surface in arbitrary dimensions
by Takamori Park, Leon Balents
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Takamori Park |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202401_00033v1 (pdf) |
| Date accepted: | 2024-02-21 |
| Date submitted: | 2024-01-25 17:49 |
| Submitted by: | Park, Takamori |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
Inspired by the recent work by Delacretaz et. al., we rigorously derive an exact and simple method to bosonize a non-interacting fermionic system with a Fermi surface starting from a microscopic Hamiltonian. In the long-wavelength limit, we show that the derived bosonized action is exactly equivalent to the action obtained by Delacretaz et. al. In addition, we propose diagrammatic rules to evaluate correlation functions using our bosonized theory and demonstrate these rules by calculating the three- and four-point density correlation functions. We also consider a general density-density interaction and show that the simplest approximation in our bosonic theory is identical to RPA results.
Author comments upon resubmission
We have made changes to the manuscript based on the suggestions and questions of the referees. In addition, we have submitted responses to the individual referee reports as replies to their posts.
Sincerely,
Takamori Park, Leon Balents
List of changes
1. A new section was added to the appendix (Appendix B) that explicitly shows how the three- and four-point density correlation function calculated in our bosonization formalism matches the corresponding fermion loop calculations.
2. An additional paragraph was added to the end of Section 3.1 that provides more details on how to evaluate correlation functions.
3. A paragraph was added to the discussion section (Section 4) on the connection to 1D bosonization and calculation of the anomalous dimension.
4. All typographical and grammatical errors were corrected.
Published as SciPost Phys. 16, 069 (2024)