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Antiferromagnetism and d-wave superconductivity in (doped) Mott insulators: A wave function approach

Zheng-Yu Weng, Yongquan Zhou, V. N. Muthukumar

We propose a class of wave functions that provide a unified description of antiferromagnetism and d-wave superconductivity in (doped) Mott insulators. The wave function has a Jastrow form and prohibits double occupancies. In the absence of holes, the wave function describes antiferromagnetism accurately. Off diagonal long range order develops at finite doping and the superconducting order parameter has d-wave symmetry. We also show how nodal quasiparticles and neutral spin excitations can be constructed from this wave function.We propose a class of wave functions that provide a unified description of antiferromagnetism and d-wave superconductivity in (doped) Mott insulators. The wave function has a Jastrow form and prohibits double occupancies. In the absence of holes, the wave function describes antiferromagnetism accurately. Off diagonal long range order develops at finite doping and the superconducting order parameter has d-wave symmetry. We also show how nodal quasiparticles and neutral spin excitations can be constructed from this wave function.

arXiv:cond-mat/0304388Apr 17, 20030 citations

Theory of slightly doped Mott insulator

Naoto Nagaosa, T. K. Lee, C.-M. Ho +2 more

Physica C SuperconductivityMay 1, 20030 citations

Renewed Understanding on Doped Mott Insulators

Masatoshi Imada

Bulletin of the American Physical SocietyMar 25, 20110 citations

Quantum Phases in a Doped Mott Insulator on the Shastry-Sutherland Lattice

Jun Liu, Nandini Trivedi, Yongbin Lee +2 more

We propose the projected BCS wave function as the ground state for the doped Mott insulator SrCu2(BO3)2 on the Shastry-Sutherland lattice. At half filling this wave function yields the exact ground state. Adding mobile charge carriers, we find a strong asymmetry between electron and hole doping. Upon electron doping an unusual metal with strong valence bond correlations forms. Hole doped systems are d-wave resonating valence bond superconductors in which superconductivity is strongly enhanced by the emergence of spatially varying plaquette bond order.We propose the projected BCS wave function as the ground state for the doped Mott insulator SrCu2(BO3)2 on the Shastry-Sutherland lattice. At half filling this wave function yields the exact ground state. Adding mobile charge carriers, we find a strong asymmetry between electron and hole doping. Upon electron doping an unusual metal with strong valence bond correlations forms. Hole doped systems are d-wave resonating valence bond superconductors in which superconductivity is strongly enhanced by the emergence of spatially varying plaquette bond order.

arXiv:cond-mat/0702118Physical Review LettersNov 30, 200723 citations

Gutzwiller description of non-magnetic Mott insulators: Dimer lattice model

Michele Fabrizio

We introduce an extension of the Gutzwiller variational wave function able to deal with insulators that escape any mean-field-like description, as, for instance, nonmagnetic insulators. As an application, we study the Mott transition from a paramagnetic metal into a nonmagnetic Peierls, or valence-bond, Mott insulator. We analyze this model by means of our Gutzwiller wave function analytically in the limit of large coordination lattices, where we find that (1) the Mott transition is of first order; (2) the Peierls gap is large in the Mott insulator, although it is mainly contributed by the electron repulsion; and (3) singlet superconductivity arises around the transition.We introduce an extension of the Gutzwiller variational wave function able to deal with insulators that escape any mean-field-like description, as, for instance, nonmagnetic insulators. As an application, we study the Mott transition from a paramagnetic metal into a nonmagnetic Peierls, or valence-bond, Mott insulator. We analyze this model by means of our Gutzwiller wave function analytically in the limit of large coordination lattices, where we find that (1) the Mott transition is of first order; (2) the Peierls gap is large in the Mott insulator, although it is mainly contributed by the electron repulsion; and (3) singlet superconductivity arises around the transition.

arXiv:0704.1389Physical Review BOct 9, 200762 citations

Breakdown of Strong Coupling Expansions for doped Mott Insulators

Philip Phillips, Dimitrios Galanakis, Tudor D. Stanescu

Bulletin of the American Physical SocietyMar 24, 20050 citations

A wave function description of doped Mott insulators

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