The Hall Number, Optical Sum Rule and Carrier Density for the $t$-$t'$-$J$ model
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2007
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| _version_ | 1866911376334651392 |
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| author | Haerter, Jan O. Shastry, B. Sriram |
| author_facet | Haerter, Jan O. Shastry, B. Sriram |
| contents | We revisit the relationship between three classical measures of particle number, namely the chemical doping $x$, the Hall number $x_{hall}$ and the particle number inferred from the optical sum rule $x_{opt}$. We study the $t$-$t'$-$J$ model of correlations on a square lattice, as a minimal model for High $T_c$ systems, using numerical methods to evaluate the low temperature Kubo conductivites. These measures disagree significantly in this type of system, owing to Mott Hubbard correlations. The Hall constant has a complex behavior with several changes of sign as a function of filling $x$, depending upon the model parameters. Thus $x_{hall}$ depends sensitively on $t'$ and $J$, due to a kind of quantum interference. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0708_1651 |
| institution | arXiv |
| publishDate | 2007 |
| record_format | arxiv |
| spellingShingle | The Hall Number, Optical Sum Rule and Carrier Density for the $t$-$t'$-$J$ model Haerter, Jan O. Shastry, B. Sriram Strongly Correlated Electrons Superconductivity We revisit the relationship between three classical measures of particle number, namely the chemical doping $x$, the Hall number $x_{hall}$ and the particle number inferred from the optical sum rule $x_{opt}$. We study the $t$-$t'$-$J$ model of correlations on a square lattice, as a minimal model for High $T_c$ systems, using numerical methods to evaluate the low temperature Kubo conductivites. These measures disagree significantly in this type of system, owing to Mott Hubbard correlations. The Hall constant has a complex behavior with several changes of sign as a function of filling $x$, depending upon the model parameters. Thus $x_{hall}$ depends sensitively on $t'$ and $J$, due to a kind of quantum interference. |
| title | The Hall Number, Optical Sum Rule and Carrier Density for the $t$-$t'$-$J$ model |
| topic | Strongly Correlated Electrons Superconductivity |
| url | https://arxiv.org/abs/0708.1651 |