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Projected Wavefunctions and High T c Superconductivity in Doped Mott Insulators

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Strongly Correlated Systems

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 171))

Abstract

We review the use of projected wavefunctions to gain insight into the strongly correlated d-wave superconducting state of high T c cuprates within the framework of the large U Hubbard model. Using sum rules, we show that doped Mott insulators exhibit a strong particle-hole asymmetry in their single-particle spectral function. We calculate the doping dependence of a variety of observables using a simple approximation scheme, the Gutzwiller approximation, and compare the results with variational Monte Carlo results and with experimental data on the cuprates. We gain detailed insights into the superconducting dome, the energy gap, nodal excitations, their quasiparticle weight and dispersion, momentum distribution, superfluid stiffness, and optical spectral weight. We show that strong correlations make the d-wave state robust against disorder-induced pair breaking. Finally, we discuss the competition between antiferromagnetism and superconductivity, the difference between hole and electron-doped Mott insulators, and how the range of hopping enhances superconductivity for hole-doped materials.

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Notes

  1. 1.

    Gutzwiller’s original proposal is \({\mathcal{P}}_{\alpha } ={ \prod \nolimits }_{i}(1 - \alpha {n}_{i\uparrow }{n}_{i\downarrow })\), where α < 1 is treated as a variational parameter. This is often called the partial Gutzwiller projector. The one we use is the full projector given by α = 1.

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Acknowledgments

We thank Arun Paramekanti, Juan Carlos Campuzano, Seamus Davis, Arti Garg, and Fu-Chun Zhang for many discussions, and acknowledge inspiring interactions with P. W. Anderson. Our work was supported by NSF DMR-1006532 and DOE DE-SC0005035 (MR), DARPA QuEST and DARPA OLE (RS), and NSF DMR-0907275 (NT).

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Authors and Affiliations

  1. Physics Department, The Ohio State University, Columbus, OH, 43210, USA

    Mohit Randeria & Nandini Trivedi

  2. Condensed Matter Theory Center, University of Maryland, College Park, MD, 20742, USA

    Rajdeep Sensarma

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  1. Mohit Randeria
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  2. Rajdeep Sensarma
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  3. Nandini Trivedi
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Correspondence to Mohit Randeria .

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  1. Dipartimento di Fisica "E.R. Caianiello", Università degli Studi di Salerno, Via Ponte don Melillo, Fisciano (SA), 84084, Italy

    Adolfo Avella

  2. Dipartimento di Fisica "E.R. Caianiello", Università degli Studi di Salerno, Via Ponte don Melillo, Fisciano (SA), 84084, Italy

    Ferdinando Mancini

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Randeria, M., Sensarma, R., Trivedi, N. (2012). Projected Wavefunctions and High T c Superconductivity in Doped Mott Insulators. In: Avella, A., Mancini, F. (eds) Strongly Correlated Systems. Springer Series in Solid-State Sciences, vol 171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21831-6_2

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