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Tuesday, February 10th 2015

4:30 pm:

The volume enclosed by Fermi surface in Brillouin zone is proportional to the sum of doped electron density and the localized moment density, as required by Luttinger theorem [1]. Experiments on underdoped cuprates suggest that the Fermi pocket volume is proportional to the doping in the pseudogap region. Fractionalized Fermi liquid is proposed as one candidate to explain its violation of Luttinger theorem [2] and Fermi arc observed by ARPES. In my presentation, I will briefly review the Luttinger theorem and recent experiments on pseudogap in cuprates. An effective theory on doped U(1) spin liquid [3] will be discussed in detail. If time allows, I will also present more recent numerical calculations with quantum dimer model [4].

[1] M. Oshikawa, Phys. Rev. Lett. 84, 3370 (1999).

[2] T. Senthil, S. Sachdev, and M. Vojta, Phys. Rev. Lett. 90, 216403 (2003).

[3] Y. Qi, and S. Sachdev, Phys. Rev. B 81, 115129 (2010).

[4] M. Punk, A. Allais, and S. Sachdev, arXiv:1501.000978.

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