Conductivity and Hall effect in the two-dimensional Hubbard model

Infrared Hall effect in the electron-doped high-TccupratePr2−xCexZimmers1, Shi2, Schmadel3 et al. 2007Phys. Rev. B211140View full textAdd to dashboardCite

“…If ⌬ is not too large ͑⌬Ͻ0.26 eV for x = 0.15͒, the calculated Fermi surface exhibits both an electronlike pocket centered at ͑ ,0͒ and holelike pockets centered at ͑± /2, /2͒ as observed in ARPES; 7 for larger ⌬, only the electron pocket remains. The longitudinal and Hall conductivities are calculated by direct evaluation of the Kubo formula; for xy we used the expressions given by Voruganti et al 25 While this approach does not capture the physics of the Mott transition, it does give a reasonable picture of the effect of a SDW gap on the quasiparticle properties. Using this model, the xy response for x = 0.15 and 0.12 is calculated using a constant scattering rate ␥ = 0.2t = 608 cm −1 and ⌬ = 1200 and 1800 cm −1 , respectively.…”

Transport functions for hypercubic and Bethe lattices

“…σ yy α xx − σ xy α yx σ yy α xy − σ xy α yy −σ yx α xx + σ xx α yx −σ yx α xy + σ xx α yy , (19) the Peltier tensor…”

Topological magnetic solitons in the two-dimensional Mott-Hubbard gap

“…The aim of this study was to isolate those normal state properties of the copperoxide high temperature superconductors which may be associated with small fluctuations about a spiral magnetic mean field, from those which require large amplitude nonlinear corrections or an entirely new condensate at the mean field level. We found that certain features such as the twist of the magnetic background, the closure of the Mott-Hubbard gap [4,5], and the sign change of the Hall coefficient [6] with doping 6 could be described in standard spin-density-wave mean field theory of the intermediate coupling Hubbard model. However, other important features such as the rapid loss of magnetic long range order with <5, the marginal Fermi-liquid behavior [7], and the striking mid-infrared absorption [8] could not be accounted for in a natural way.…”

“…In a recent series of papers [4][5][6], we have presented a careful study of the magnetic and electronic properties of the strongly correlated Hubbard model starting from a mean field theory of spiral magnetism and continuing to the lowest order fluctuation corrections. The fluctuation Hamiltonian led to a physical picture of the doped Mott-Hubbard system as a highly nontrivial metal in which there was strong coupling between collective charge and spin excitations.…”

“…We consider a general Hartree-Fock, mean-field, factorization [4][5][6] of the Hubbard model in which the ground state expectation value of the electron spin operator is given by ^{c ia cr af3 Ci(3) = shi, where n* = ±n(r) is a unit vector describing the orientation of the local magnetic moment at each lattice site i, and n(r) is a slowly varying plaquette variable which defines the axis of quantization of the local antiferromagnetic ordering. For the uniform antiferromagnet one can choose n(r) = +z.…”