Balázs Hetényi 2009 J. Phys. A: Math. Theor. 42 412003 doi:10.1088/1751-8113/42/41/412003
Balázs Hetényi
Show affiliationsA total position operator X in the position representation is derived for lattice fermionic systems with periodic boundary conditions. The operator is shown to be Hermitian, the generator of translations in momentum space, and its time derivative is shown to correspond to the total current operator in a periodic system. The operator is such that its moments can be calculated up to any order. To demonstrate its utility finite size scaling is applied to the Brinkman–Rice transition as well as to metallic and insulating Gutzwiller wavefunctions.
71.10.Fd Lattice fermion models (Hubbard model, etc.)
71.30.+h Metal-insulator transitions and other electronic transitions
47B15 Hermitian and normal operators (spectral measures, functional calculus, etc.)
82C10 Quantum dynamics and nonequilibrium statistical mechanics (general)
82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs
Issue 41 (16 October 2009)
Received 24 July 2009, in final form 19 August 2009
Published 22 September 2009
Balázs Hetényi 2009 J. Phys. A: Math. Theor. 42 412003
J F Gomes et al 2009 J. Phys. A: Math. Theor. 42 275208
Zhanqiang Deng et al 2007 Nanotechnology 18 475603
A P Menushenkov et al 2009 J. Phys.: Conf. Ser. 190 012091
Seong Jun Kim et al 2009 Smart Mater. Struct. 18 115009
Joseph Ben Geloun and Mahouton Norbert Hounkonnou 2009 J. Phys. A: Math. Theor. 42 295202
Julien Tailleur et al 2008 J. Phys. A: Math. Theor. 41 505001
Sunnyeo Lee et al 2009 Class. Quantum Grav. 26 245002
H George et al 2009 New J. Phys. 11 113028
Martina Roso et al 2008 Nanotechnology 19 285707