2,641 research outputs found
Charge-Density-Wave Transitions of Dirac Fermions Coupled to Phonons
The spontaneous generation of charge-density-wave order in a Dirac fermion
system via the natural mechanism of electron-phonon coupling is studied in the
framework of the Holstein model on the honeycomb lattice. Using two independent
and unbiased quantum Monte Carlo methods, the phase diagram as a function of
temperature and coupling strength is determined. It features a quantum critical
point as well as a line of thermal critical points. Finite-size scaling appears
consistent with fermionic Gross-Neveu-Ising universality for the quantum phase
transition, and bosonic Ising universality for the thermal phase transition.
The critical temperature has a maximum at intermediate couplings. Our findings
motivate experimental efforts to identify or engineer Dirac systems with
sufficiently strong and tunable electron-phonon coupling.Comment: 4+3 pages, 4+2 figure
Gravity Effects on Information Filtering and Network Evolving
In this paper, based on the gravity principle of classical physics, we
propose a tunable gravity-based model, which considers tag usage pattern to
weigh both the mass and distance of network nodes. We then apply this model in
solving the problems of information filtering and network evolving.
Experimental results on two real-world data sets, \emph{Del.icio.us} and
\emph{MovieLens}, show that it can not only enhance the algorithmic
performance, but can also better characterize the properties of real networks.
This work may shed some light on the in-depth understanding of the effect of
gravity model
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