TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.16.3.069
TI  - An exact method for bosonizing the Fermi surface in arbitrary dimensions
PY  - 2024/03/08
UR  - https://www.scipost.org/SciPostPhys.16.3.069
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 16
IS  - 3
SP  - 069
A1  - Park, Takamori
AU  - Balents, Leon
AB  - Inspired by the recent work by Delacretaz et. al. [Phys. Rev. Res. 4, 033131 (2022)], 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.
ER  -

@Article{10.21468/SciPostPhys.16.3.069,
	title={{An exact method for bosonizing the Fermi surface in arbitrary dimensions}},
	author={Takamori Park and Leon Balents},
	journal={SciPost Phys.},
	volume={16},
	pages={069},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.16.3.069},
	url={https://scipost.org/10.21468/SciPostPhys.16.3.069},
}