arXiv:cond-mat/0103530 · Journal of the Physical Society of Japan

Crossover from Quarter-Filling to Half-Filling in a One-Dimensional Electron System with a Dimerized and Quarter-Filled Band

Masahisa Tsuchiizu, Hideo Yoshioka, Yoshikazu Suzumura

Published Jun 15, 2001• 50 citations

Abstract

The interplay between quarter-filled and half-filled umklapp scattering has been examined by applying the renormalization group method to a one-dimensional quarter-filled electron system with dimerization, on-site (U) and nearest-neighbor (V) repulsive interactions. The phase diagram on the U-V plane is obtained at absolute zero temperature where the Mott insulator (the charge ordered insulator) is found for smaller (larger) V. By choosing the moderate parameter in the region of Mott insulator, it is shown that the resistivity exhibits a crossover from behavior of quarter-filling to that of half-filling with decreasing temperature.

DOI: 10.1143/jpsj.70.1460

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arXiv:cond-mat/0103530 · Journal of the Physical Society of Japan

Crossover from Quarter-Filling to Half-Filling in a One-Dimensional Electron System with a Dimerized and Quarter-Filled Band

Masahisa Tsuchiizu, Hideo Yoshioka, Yoshikazu Suzumura

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arXiv HTML PDF

Abstract

DOI: 10.1143/jpsj.70.1460

Related papers

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{U=U}_{c}

and

{U=U}_{s}

that separate the BI and MI phases for a given V. A charge-neutral spin-singlet exciton band develops in the BI phase

(U<{U}_{c})

and drops below the band gap when U exceeds a special point

{U}_{e}.

The exciton gap closes at the first critical point

{U}_{c}

while the charge and spin gaps persist and coincide between

{U}_{c}<U<{U}_{s}

where the system is dimerized. Both the charge and spin gaps collapse at

{U=U}_{s}

when the transition to the MI phase occurs. In the MI phase

(U>{U}_{s})

the charge gap increases almost linearly with U while the spin gap remains zero. These findings clarify earlier published results on the same model, and offer insights into several important issues regarding an appropriate scaling analysis of DMRG data and a full physical picture of the delicate nature of the phase transitions driven by electron correlation. The present work provides a comprehensive understanding for the critical behavior and phase diagram for the transition from BI to MI in one-dimensional correlated electron systems with a periodic alternating site potential.