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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
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.
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.
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.
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.