Ground-state properties of the one-dimensional extended Hubbard model at half filling |
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Authors: | S Ejima S Nishimoto |
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Institution: | a Fachbereich Physik, Philipps-Universität Marburg, D-35032 Marburg, Germany b Max-Planck-Institut für Physik komplexer Systeme, D-01187 Dresden, Germany |
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Abstract: | The density-matrix renormalization group (DMRG) technique is used to study the ground-state properties of the one-dimensional half-filled Hubbard model with on-site (nearest-neighbor) repulsive interaction U (V) and nearest-neighbor hopping t. We calculate the static spin structure factor to consider the spin degrees of freedom. We notice a striking difference of the static spin structure factor among the spin-density-wave, charge-density-wave (CDW), and bond-order-wave (BOW) phases. Based on the results, we identify the BOW-CDW transition at small (large) U value as continuous (of first order). We also calculate the double occupancy to consider the charge degrees of freedom. For large U, the double occupancy show a discontinuous jump at the BOW-CDW critical point and it implies first-order transition. With decreasing U, the jump becomes smaller and vanishes at the tricritical point Ut≈5.961t. This value is close to our previous estimation Ut=5.89t obtained with other quantities. Consequently, the results of static spin structure factor and double occupancy support the accuracy of our ground-state phase diagram. |
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