17 research outputs found
Finite-Temperature Properties across the Charge Ordering Transition -- Combined Bosonization, Renormalization Group, and Numerical Methods
We theoretically describe the charge ordering (CO) metal-insulator transition
based on a quasi-one-dimensional extended Hubbard model, and investigate the
finite temperature () properties across the transition temperature, . In order to calculate dependence of physical quantities such as the
spin susceptibility and the electrical resistivity, both above and below
, a theoretical scheme is developed which combines analytical
methods with numerical calculations. We take advantage of the renormalization
group equations derived from the effective bosonized Hamiltonian, where Lanczos
exact diagonalization data are chosen as initial parameters, while the CO order
parameter at finite- is determined by quantum Monte Carlo simulations. The
results show that the spin susceptibility does not show a steep singularity at
, and it slightly increases compared to the case without CO because
of the suppression of the spin velocity. In contrast, the resistivity exhibits
a sudden increase at , below which a characteristic dependence
is observed. We also compare our results with experiments on molecular
conductors as well as transition metal oxides showing CO.Comment: 9 pages, 8 figure
Ground state and finite temperature behavior of 1/4-filled band zigzag ladders
We consider the simplest example of lattice frustration in the 1/4-filled
band, a one-dimensional chain with next-nearest neighbor interactions. For this
zigzag ladder with electron-electron as well as electron-phonon interactions we
present numerical results for ground state as well as thermodynamic properties.
In this system the ground state bond distortion pattern is independent of
electron-electron interaction strength. The spin gap in the ground state of the
zigzag ladder increases with the degree of frustration. Unlike in
one-dimension, where the spin-gap and charge ordering transitions can be
distinct, we show that in the ladder they occur simultaneously. We discuss spin
gap and charge ordering transitions in 1/4-filled materials with one, two, or
three dimensional crystal structures. We show empirically that regardless of
dimensionality the occurrence of simultaneous or distinct charge and magnetic
transitions can be correlated with the ground state bond distortion pattern.Comment: 12 pages, 8 eps figure