Using exact diagonalization, we study the projected Hamiltonian with Coulomb interaction in eight flat bands of first magic angle twisted bilayer graphene. Employing U(4) [$\mathrm{U}(4)\ifmmode\times\else\texttimes\fi{}\mathrm{U}(4)$] symmetries nonchiral (chiral) band limit, reduced Hilbert space to an extent that allows for around $\ensuremath{\nu}=\ifmmode\pm\else\textpm\fi{}3,\ifmmode\pm\e...

We investigate the steady-state electronic transport through a suspended dimer molecule coupled to leads. When strongly coupled to a vibrational mode, the electron transport is enhanced at the phonon resonant frequency and higher order resonances. The temperature and bias determine the nature of the phonon-assisted resonances, with clear absorption and emission peaks. The strong coupling also i...

The forward-walking Green's function Monte Carlo (GFMC) method is used to compute the staggered magnetization m y in the two-dimensional, spin-1=2 Heisenberg Antifer-romagnet on L L square lattices, up to L = 12. Unlike previous GFMC calculations, the method is unbiased and projects out the exact, rotationally invariant groundstate. These calculations provide connrmation of the existence of lon...

The Fourier Grid Hamiltonian Multiconfigurational Self-Consistent-Field ~FGH-MCSCF! method for calculating vibrational wavefunctions is presented. This method is designed to calculate multidimensional hydrogen nuclear wavefunctions for use in mixed quantum/classical molecular dynamics simulations of hydrogen transfer reactions. The FGH-MCSCF approach combines a MCSCF variational method, which d...