By analyzing one-dimensional (1D) chains arranged into a two-dimensional (2D) mesh and considering electrons tunneling from chain to chain at the intersection points, we use the 1D bosonization methods to describe the 2D Hubbard model, and find that the 2D Hubbard model can be completely represented by the spin and charge fields. It may provide evidence for spin and charge separation in some 2D quantum systems.

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Phase separation in the 1-D extended Hubbard model

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Bulletin of the American Physical Society

Controlled evidence for phase separation in the fermionic 2D Hubbard model

Fedor vSimkovic, Evgeny Kozik, Boris V. Svistunov, Nikolay V. Prokof'ev, Youjin Deng

Published Mar 13, 2017• 0 citations

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d

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