# Auxiliary-Field Quantum Monte Carlo Simulations of Strongly-Correlated Systems, the Final Report

## Abstract

In this final report, we present preliminary results of ground state phases of interacting spinless Dirac fermions. The name "Dirac fermion" originates from the fact that low-energy excitations of electrons hopping on the honeycomb lattice are described by a relativistic Dirac equation. Dirac fermions have received much attention particularly after the seminal work of Haldale1 which shows that the quantum Hall physics can be realized on the honeycomb lattice without magnetic fields. Haldane's work later becomes the foundation of topological insulators (TIs). While the physics of TIs is based largely on spin-orbit coupled non-interacting electrons, it was conjectured that topological insulators can be induced by strong correlations alone.

- Authors:

- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

- Publication Date:

- Research Org.:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1409928

- Report Number(s):
- LLNL-SR-741314

- DOE Contract Number:
- AC52-07NA27344

- Resource Type:
- Technical Report

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE

### Citation Formats

```
Chang, C.
```*Auxiliary-Field Quantum Monte Carlo Simulations of Strongly-Correlated Systems, the Final Report*. United States: N. p., 2017.
Web. doi:10.2172/1409928.

```
Chang, C.
```*Auxiliary-Field Quantum Monte Carlo Simulations of Strongly-Correlated Systems, the Final Report*. United States. doi:10.2172/1409928.

```
Chang, C. Tue .
"Auxiliary-Field Quantum Monte Carlo Simulations of Strongly-Correlated Systems, the Final Report". United States.
doi:10.2172/1409928. https://www.osti.gov/servlets/purl/1409928.
```

```
@article{osti_1409928,
```

title = {Auxiliary-Field Quantum Monte Carlo Simulations of Strongly-Correlated Systems, the Final Report},

author = {Chang, C.},

abstractNote = {In this final report, we present preliminary results of ground state phases of interacting spinless Dirac fermions. The name "Dirac fermion" originates from the fact that low-energy excitations of electrons hopping on the honeycomb lattice are described by a relativistic Dirac equation. Dirac fermions have received much attention particularly after the seminal work of Haldale1 which shows that the quantum Hall physics can be realized on the honeycomb lattice without magnetic fields. Haldane's work later becomes the foundation of topological insulators (TIs). While the physics of TIs is based largely on spin-orbit coupled non-interacting electrons, it was conjectured that topological insulators can be induced by strong correlations alone.},

doi = {10.2172/1409928},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Tue Nov 07 00:00:00 EST 2017},

month = {Tue Nov 07 00:00:00 EST 2017}

}