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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.… Expand

Quantum spin liquid emerging in two-dimensional correlated Dirac fermions

- Z. Meng, T. C. Lang, S. Wessel, F. Assaad, A. Muramatsu
- Physics, MedicineNature
- 30 March 2010

TLDR

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… Expand

Phase diagram of the half-filled two-dimensional SU(N) Hubbard-Heisenberg model : A quantum Monte Carlo study

- F. Assaad
- Physics
- 3 June 2004

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-$N$… Expand

Weak-coupling continuous-time quantum Monte Carlo study of the single impurity and periodic Anderson models with s -wave superconducting baths

- D. J. Luitz, F. Assaad
- Physics
- 14 September 2009

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… Expand

Fermionic quantum criticality in honeycomb and π -flux Hubbard models: Finite-size scaling of renormalization-group-invariant observables from quantum Monte Carlo

- F. P. Toldin, M. Hohenadler, F. Assaad, I. Herbut
- Physics
- 10 November 2014

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… Expand

Correlation effects in quantum spin-Hall insulators: a quantum Monte Carlo study.

- M. Hohenadler, T. C. Lang, F. Assaad
- Physics, MedicinePhysical review letters
- 23 November 2010

TLDR

Dirac Fermions with Competing Orders: Non-Landau Transition with Emergent Symmetry.

- Toshihiro Sato, M. Hohenadler, F. Assaad
- Physics, MedicinePhysical review letters
- 10 July 2017

TLDR

Understanding the Josephson current through a Kondo-correlated quantum dot.

- D. J. Luitz, F. Assaad, T. Novotný, C. Karrasch, V. Meden
- Physics, MedicinePhysical review letters
- 24 January 2012

TLDR

Single-hole dynamics in the t − J model on a square lattice

- M. Brunner, F. Assaad, A. Muramatsu
- Physics
- 21 February 2000

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.… Expand

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