Quantum oscillations in $\mathrm{YBa_{2}Cu_{3}O_{6+\delta}}$ from an incommensurate $d$-density wave order
| Autor: | Eun, Jonghyoun, Wang, Zhiqiang, Chakravarty, Sudip |
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| Rok vydání: | 2012 |
| Předmět: | |
| Zdroj: | Proc. Natl. Acad. Sci. USA 109, 13198-13203 (2012) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1073/pnas.1208274109 |
| Popis: | We consider quantum oscillation experiments in $\mathrm{YBa_{2}Cu_{3}O_{6+\delta}}$ from the perspective of an incommensurate Fermi surface reconstruction using an exact transfer matrix method and the Pichard-Landauer formula for the conductivity. The specific density wave order considered is a period-8 $d$-density wave in which the current density is unidirectionally modulated. The current modulation is also naturally accompanied by a period-4 site charge modulation in the same direction, which is consistent with recent magnetic resonance measurements. In principle Landau theory also allows for a period-4 bond charge modulation, which is not discussed, but should be simple to incorporate in the future. This scenario leads to a natural, but not a unique, explanation of why only oscillations from a single electron pocket is observed, and a hole pocket of roughly twice the frequency as dictated by two-fold commensurate order, and the corresponding Luttinger sum rule, is not observed. However, it is possible that even higher magnetic fields will reveal a hole pocket of half the frequency of the electron pocket or smaller. This may be at the borderline of achievable high field measurements because at least a few complete oscillations have to be clearly resolved. Comment: 8 pages, 7 figures |
| Databáze: | arXiv |
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