https://github.com/carstenbauer/dqmc

Determinant quantum Monte Carlo code for simulating an antiferromagnetic quantum critical metal
https://github.com/carstenbauer/dqmc

Last synced: about 1 month ago
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Determinant quantum Monte Carlo code for simulating an antiferromagnetic quantum critical metal

• Host: GitHub
• URL: https://github.com/carstenbauer/dqmc
• Owner: carstenbauer
• License: mit
• Created: 2019-02-18T20:04:59.000Z (almost 6 years ago)
• Default Branch: master
• Last Pushed: 2020-12-09T19:11:52.000Z (about 4 years ago)
• Last Synced: 2024-10-13T22:32:36.243Z (2 months ago)
• Language: Julia
• Homepage:
• Size: 1.74 MB
• Stars: 19
• Watchers: 3
• Forks: 1
• Open Issues: 14
• Metadata Files:
  • Readme: README.md
  • License: License.md

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README

        
[![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.3603345.svg)](https://doi.org/10.5281/zenodo.3603345)

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         o      O o       O  o  o  O  O o              Determinant quantum Monte Carlo code

         O      o O       o  O   Oo   O o              for simulating quantum critical metals!

         o      O o       O  O        o o           

         O      o O    Oo o  o        O O              (In pure Julia!)

         o    .O' `o     O'  o        O `o     .o   

         OooOO'    `OoooO Oo O        o  `OoooO'  

| **Build Status**                                                                                |  **License**                                                                                |

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**Determinant quantum Monte Carlo (DQMC)** code for simulating a quantum critical metal, a Fermi sea coupled to antiferromagnetic bosonic fluctuations, in two spatial dimensions.



A version of this code has been used to produce (most of) the results in the following paper:

> [*Hierarchy of energy scales in an O(3) symmetric antiferromagnetic quantum critical metal: a Monte Carlo study*
Carsten Bauer, Yoni Schattner, Simon Trebst, Erez Berg](https://arxiv.org/abs/2001.00586)

### Performance comparison

The figure below shows a comparison of three different DQMC codes written in C++, Fortran, and Julia. Specifically, it shows the time it takes to perform one sweep of local updates in space and imaginary time for a spin-fermion model (studied in the paper linked above). All kinds of special features, such as a small magnetic flux to improve finite size effects, are turned off.

Codes:

* C++ code by Max Gerlach ([repository](https://github.com/maxhgerlach/detqmc), [used in this paper](https://journals.aps.org/prb/abstract/10.1103/PhysRevB.95.035124)).

* Private Fortran code by Yoni Schattner ([used in this paper](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.117.097002)).

* Julia DQMC implementation in this repository.



### Settings

**Environmental variables:**

* `LATTICES`: folder with ALPS XML lattice files (mandatory unless you're me)

* `WALLTIME`: Set a walltime limit for the algorithm. (optional)

* `JULIA_DQMC`: path to the root of this repo (optional, currently only used in `live.jl/ipynb` and `test_live.ipynb` to activate the environment)

### Modes

Special modes as indicated by fields in `dqmc.in.xml`:

* `EDRUN`: if set to true, temporal gradients and quartic term in bosonic action are turned off.

* `TIMING`: stop after thermalization phase and report speed and allocations of all major functions.