Tethys

Diagrammatic Monte-Carlo (DiagMC) calculation of Fröhlich polarons. A WIP.

Starting with §3 in [1] - a minimalist bare expansion for the Green function of the Frohlich polaron.

Inputs

• Electron-phonon coupling constant, α
• Electron momentum, k
• Number of MC sweeps
• Number of diagram updates per sweep

Potential Outputs

Observables:

• Ground State Energy
• Effective polaron mass

How to run the simulation

A basic example is given in the examples folder - example.jl

Packages

Feynman's variational solution to calculate polaron mobility - https://github.com/jarvist/PolaronMobility.jl

Bibliography

1. Greitemann, J.; Pollet, L. Lecture Notes on Diagrammatic Monte Carlo for the Fröhlich Polaron. SciPost Phys. Lect. Notes 2018, 2. https://doi.org/10.21468/SciPostPhysLectNotes.2.
2. Hahn, T.; Klimin, S.; Tempere, J.; Devreese, J. T.; Franchini, C. Diagrammatic Monte Carlo Study of Fröhlich Polaron Dispersion in Two and Three Dimensions. Phys. Rev. B 2018, 97 (13), 134305. https://doi.org/10.1103/PhysRevB.97.134305.
3. Mishchenko, A. S.; Prokof’ev, N. V.; Sakamoto, A.; Svistunov, B. V. Diagrammatic Quantum Monte Carlo Study of the Fröhlich Polaron. Phys. Rev. B 2000, 62 (10), 6317–6336. https://doi.org/10.1103/PhysRevB.62.6317.