SciPost Submission Page
Berry Phase and Quantum Oscillation from Multi-orbital Coadjoint-orbit Bosonization
by Mengxing Ye, Yuxuan Wang
Submission summary
| Authors (as registered SciPost users): | Yuxuan Wang · Mengxing Ye |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202503_00014v1 (pdf) |
| Date accepted: | Aug. 15, 2025 |
| Date submitted: | March 10, 2025, 2:48 a.m. |
| Submitted by: | Wang, Yuxuan |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We develop an effective field theory for a multi-orbital fermionic system using the method of coadjoint orbits for higher-dimensional bosonization. The dynamical bosonic fields are single-particle distribution functions defined on the phase space. We show that when projecting to a single band, Berry curvature effects naturally emerge. In particular, we consider the de Haas-van Alphen effect of a 2d Fermi surface, and show that the oscillation of orbital magnetization in an external field is offset by the Berry phase accumulated by the cyclotron around the Fermi surface. Beyond previously known results, we show that this phase shift holds even for interacting systems, in which the single-particle Berry phase is replaced by the static anomalous Hall conductance. Furthermore, we obtain the correction to the amplitudes of de Haas-van Alphen oscillations due to Berry curvature effects.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
Current status:
Editorial decision:
For Journal SciPost Physics: Publish
(status: Editorial decision fixed and (if required) accepted by authors)
Reports on this Submission
Strengths
Weaknesses
Report
Requested changes
In Eq. (16), the parameters λ1 and λ2 are not explicitly defined in the paper. Given the focus of this work, an explicit expression for these parameters—particularly their dependence on Berry curvature—would be helpful.
Recommendation
Publish (meets expectations and criteria for this Journal)
Strengths
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The paper is concise and clear in its goal and exposition of the formalism it develops to describe an bosonized effective field theory for Fermi liquids in the presence of both a weak magnetic field and a Berry curvature.
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The modification of the Moyal product in the presence of both a Berry curvature and a weak magnetic field and the derivation of the effective field theory for free Fermi surfaces starting from the path integral via a gradient expansion of the Moyal product is a valuable addition to the literature.
Weaknesses
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The consequences of interactions is missing from the manuscript, which only deals with free Fermi surfaces, and this is explicitly noted by the authors in the paper.
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Relatedly, the bosonized effective field theory for free fermions without a magnetic field or Berry curvature is known to run into problems from UV/IR mixing upon quantizing the nonlinear terms in the gradient expansion. A discussion about whether these issues persist in this formalism, and whether they affect the nonperturbative results of the paper, would help tie any remaining loose ends.
Report
Recommendation
Publish (easily meets expectations and criteria for this Journal; among top 50%)
We thank the Referee for their positive evaluation of our work.
We thank the referee for their insightful question on possible UV/IR mixing issues in bosonized effective theory . The short answer is that these issues are resolved in the presence of a weak magnetic field. This point was addressed in a recent paper (Phys. Rev. B 112, 035113) by the two of us, and in the next version of the manuscript we will further clarify this issue.
The referee is correct that our calculation of the Lifshitz-Kosevich formula is based on a model for free fermions. However, we respectfully disagree with the Referee's comment that our paper does not address the consequences of interactions. In fact, in the abstract it is explicitly mentioned that "Beyond previously known results, we show that this phase shift holds even for interacting systems, in which the single-particle Berry phase is replaced by the static anomalous Hall conductance." This claim is backed up by Sec. 6 and Appendix D of the manuscript. To avoid future confusion, we plan to update the manuscript such that the applicability of our key results is presented more clearly.
Author: Yuxuan Wang on 2025-07-31 [id 5697]
(in reply to Report 2 on 2025-07-31)We are pleased with the positive evaluation of our work by the Referee. The requested changes, which will enable a direct comparison with experiments, will be implemented in the next version.