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Undamped Bloch Oscillations in the $U
ightarrow infty$ one-dimensional Hubbard model | | Yong Zheng
; | | Date: |
9 Jul 2019 | | Abstract: | Via an exact solution of $U
ightarrow infty$ one-dimensional Hubbard model
in an electric field, we show that undamped Bloch oscillations extensively
exist in this model. We also show that undamped Bloch oscillations can also
exist for any magnitude of $U$, even in two or three dimension, at least for
some special eigenstates of the Hubbard model. As an extension, we show exactly
that, for a system of electrons with $delta$-function interactions, which is
closely related to the Hubbard model, it seems that the correlation interaction
plays no role on the response of the system to an electric field. | | Source: | arXiv, 1907.4116 | | Services: | Forum | Review | PDF | Favorites | |
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