6,969 research outputs found
Dirac zero-modes in compact U(1) gauge theory
We study properties of the zero and near-zero eigenmodes of the overlap Dirac
operator in compact U(1) gauge theory. In the confinement phase the exact
zero-modes are localized as found by studying the values of the inverse
participation ratio and other features. Non-zero-eigenmodes are less localized
in the confinement phase. In the Coulomb phase no zero-modes are observed and
the eigenmodes show no localization at all.Comment: Minor corrections, 15 pages, 5 figures, LaTeX styl
Wilderness Solitude in the 21st Century
Recent advances in mobile communication technology have led to a decrease in opportunities for individuals to experience alone-time within daily life. As a result, the solitude offered by wilderness landscapes has become all the more valuable. Past research on wilderness solitude has been divided into two distinct frameworks: the Social-Spatial Perspective and the Humanistic Perspective. This distinction has severely limited the development of a comprehensive research model that incorporates all the possible conditions relating to wilderness solitude. This study synthesized past research and theory to create a quantitative model of wilderness solitude which includes elements from both research perspectives, while incorporating novel conditions that relate to digital connectivity. Study participants were wilderness visitors to Montana’s Bob Marshall Wilderness Complex during the summer and fall of 2017. Exploratory factor analysis revealed four components of wilderness solitude. These components suggest that our interpretation of the “opportunities for solitude” clause within the Wilderness Act of 1964 ought to consider the themes of Societal Release, Introspection, Physical Separation and De-tethering from Digital Connectivity
Entanglement Spectra of Interacting Fermions in Quantum Monte Carlo Simulations
In a recent article T. Grover [Phys. Rev. Lett. 111, 130402 (2013)]
introduced a simple method to compute Renyi entanglement entropies in the realm
of the auxiliary field quantum Monte Carlo algorithm. Here, we further develop
this approach and provide a stabilization scheme to compute higher order Renyi
entropies and an extension to access the entanglement spectrum. The method is
tested on systems of correlated topological insulators.Comment: 7+ pages, 5 figure
Interaction induced Dirac fermions from quadratic band touching in bilayer graphene
We revisit the effect of local interactions on the quadratic band touching
(QBT) of Bernal stacked bilayer graphene models using renormalization group
(RG) arguments and quantum Monte Carlo simulations of the Hubbard model. We
present an RG argument which predicts, contrary to previous studies, that weak
interactions do not flow to strong coupling even if the free dispersion has a
QBT. Instead they generate a linear term in the dispersion, which causes the
interactions to flow back to weak coupling. Consistent with this RG scenario,
in unbiased quantum Monte Carlo simulations of the Hubbard model we find
compelling evidence that antiferromagnetism turns on at a finite , despite
the hopping problem having a QBT. The onset of antiferromagnetism takes
place at a continuous transition which is consistent with a dynamical critical
exponent as expected for 2+1 d Gross-Neveu criticality. We conclude that
generically in models of bilayer graphene, even if the free dispersion has a
QBT, small local interactions generate a Dirac phase with no symmetry breaking
and that there is a finite-coupling transition out of this phase to a
symmetry-broken state
Effective models for strong electronic correlations at graphene edges
We describe a method for deriving effective low-energy theories of electronic
interactions at graphene edges. Our method is applicable to general edges of
honeycomb lattices (zigzag, chiral, and even disordered) as long as localized
low-energy states (edge states) are present. The central characteristic of the
effective theories is a dramatically reduced number of degrees of freedom. As a
consequence, the solution of the effective theory by exact diagonalization is
feasible for reasonably large ribbon sizes. The quality of the involved
approximations is critically assessed by comparing the correlation functions
obtained from the effective theory with numerically exact quantum Monte-Carlo
calculations. We discuss effective theories of two levels: a relatively
complicated fermionic edge state theory and a further reduced Heisenberg spin
model. The latter theory paves the way to an efficient description of the
magnetic features in long and structurally disordered graphene edges beyond the
mean-field approximation.Comment: 13 pages, 9 figure
Z2 topological invariants in two dimensions from quantum Monte Carlo
We employ quantum Monte Carlo techniques to calculate the topological
invariant in a two-dimensional model of interacting electrons that exhibits a
quantum spin Hall topological insulator phase. In particular, we consider the
parity invariant for inversion-symmetric systems, which can be obtained from
the bulk's imaginary-time Green's function after an appropriate continuation to
zero frequency. This topological invariant is used here in order to study the
trivial-band to topological-insulator transitions in an interacting system with
spin-orbit coupling and an explicit bond dimerization. We discuss the
accessibility and behavior of this topological invariant within quantum Monte
Carlo simulations.Comment: 7 pages, 6 figure
Spontaneous particle-hole symmetry breaking of correlated fermions on the Lieb lattice
We study spinless fermions with nearest-neighbor repulsive interactions
(- model) on the two-dimensional three-band Lieb lattice. At
half-filling, the free electronic band structure consists of a flat band at
zero energy and a single cone with linear dispersion. The flat band is expected
to be unstable upon inclusion of electronic correlations, and a natural channel
is charge order. However, due to the three-orbital unit cell, commensurate
charge order implies an imbalance of electron and hole densities and therefore
doping away from half-filling. Our numerical results show that below a
finite-temperature Ising transition a charge density wave with one electron and
two holes per unit cell and its partner under particle-hole transformation are
spontaneously generated. Our calculations are based on recent advances in
auxiliary-field and continuous-time quantum Monte Carlo simulations that allow
sign-free simulations of spinless fermions at half-filling. It is argued that
particle-hole symmetry breaking provides a route to access levels of finite
doping, without introducing a sign problem.Comment: 9 pages, 6 figures, added data for strong Coulomb repulsion and
classical Ising-limi
Dimerized Solids and Resonating Plaquette Order in SU(N)-Dirac Fermions
We study the quantum phases of fermions with an explicit SU(N)-symmetric,
Heisenberg-like nearest-neighbor flavor exchange interaction on the honeycomb
lattice at half-filling. Employing projective (zero temperature) quantum Monte
Carlo simulations for even values of N, we explore the evolution from a
weak-coupling semimetal into the strong-coupling, insulating regime.
Furthermore, we compare our numerical results to a saddle-point approximation
in the large-N limit. From the large-N regime down to the SU(6) case, the
insulating state is found to be a columnar valence bond crystal, with a direct
transition to the semimetal at weak, finite coupling, in agreement with the
mean-field result in the large-N limit. At SU(4) however, the insulator
exhibits a subtly different valence bond crystal structure, stabilized by
resonating valence bond plaquettes. In the SU(2) limit, our results support a
direct transition between the semimetal and an antiferromagnetic insulator.Comment: 5 pages, 6 figure
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