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World-line and Determinantal Quantum Monte Carlo Methods for Spins, Phonons and Electrons
In this chapter we will concentrate primarily on world-line methods with loop updates, for spins and also for spin-phonon systems, as well as on the auxiliary field quantum Monte Carlo (QMC) method.
Quantum spin liquid emerging in two-dimensional correlated Dirac fermions
TLDR
It is shown, by means of large-scale quantum Monte Carlo simulations of correlated fermions on a honeycomb lattice (a structure realized in, for example, graphene), that a quantum spin liquid emerges between the state described by massless Dirac fermion and an antiferromagnetically ordered Mott insulator.
Pinning the Order: The Nature of Quantum Criticality in the Hubbard Model on Honeycomb Lattice
A new algorithm of quantum Monte Carlo simulations designed to detect very weak magnetic order allows high-resolution studies of the correlation between magnetic order and electrical insulation in
Phase diagram of the half-filled two-dimensional SU(N) Hubbard-Heisenberg model : A quantum Monte Carlo study
We investigate the phase diagram of the half-filled $\mathrm{SU}(N)$ Hubbard-Heisenberg model with hopping $t$, exchange $J$, and Hubbard $U$, on a two-dimensional square lattice. In the large-$N$
Weak-coupling continuous-time quantum Monte Carlo study of the single impurity and periodic Anderson models with s -wave superconducting baths
We apply the unbiased weak-coupling continuous time quantum Monte Carlo (CTQMC) method to review the physics of a single magnetic impurity coupled to s-wave superconducting leads described by the BCS
Fermionic quantum criticality in honeycomb and π -flux Hubbard models: Finite-size scaling of renormalization-group-invariant observables from quantum Monte Carlo
We numerically investigate the critical behavior of the Hubbard model on the honeycomb and the $\pi$-flux lattice, which exhibits a direct transition from a Dirac semimetal to an
Correlation effects in quantum spin-Hall insulators: a quantum Monte Carlo study.
TLDR
In the quantum spin-Hall state the Kane-Mele model supplemented by a Hubbard U term is considered, and the spin, charge, and single-particle dynamics of the helical Luttinger liquid is studied by retaining the Hubbard interaction only on a ribbon edge.
Dirac Fermions with Competing Orders: Non-Landau Transition with Emergent Symmetry.
TLDR
A model of Dirac fermions in 2+1 dimensions with dynamically generated, anticommuting SO(3) Néel and Z_{2} Kekulé mass terms that permits sign-free quantum Monte Carlo simulations is considered and provides a new framework to study exotic critical phenomena.
Understanding the Josephson current through a Kondo-correlated quantum dot.
TLDR
For increased tunnel couplings the Kondo scale becomes comparable to the superconducting gap, and the regime of the strongest competition between superconductivity and Kondo correlations is reached; the gate voltage dependence of the critical current in this regime is predicted.
Single-hole dynamics in the t − J model on a square lattice
We present quantum Monte Carlo (QMC) simulations for a single hole in a $t\ensuremath{-}J$ model from $J=0.4t$ to $J=4t$ on square lattices with up to $24\ifmmode\times\else\texttimes\fi{}24$ sites.
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