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

Technical Report ·
DOI:https://doi.org/10.2172/1409928· OSTI ID:1409928
 [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

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.

Research Organization:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE
DOE Contract Number:
AC52-07NA27344
OSTI ID:
1409928
Report Number(s):
LLNL-SR-741314
Country of Publication:
United States
Language:
English

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