Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2004-09-20
Physical Review B 71, 144509 (2005)
Physics
Condensed Matter
Strongly Correlated Electrons
22 pages, 10 figures; part I is cond-mat/0408329; (v2) changed title and added clarifications
Scientific paper
10.1103/PhysRevB.71.144509
We study the phases of doped spin S=1/2 quantum antiferromagnets on the square lattice, as they evolve from paramagnetic Mott insulators with valence bond solid (VBS) order at zero doping, to superconductors at moderate doping. The interplay between density wave/VBS order and superconductivity is efficiently described by the quantum dimer model, which acts as an effective theory for the total spin S=0 sector. We extend the dimer model to include fermionic S=1/2 excitations, and show that its mean-field, static gauge field saddle points have projective symmetries (PSGs) similar to those of `slave' particle U(1) and SU(2) gauge theories. We account for the non-perturbative effects of gauge fluctuations by a duality mapping of the S=0 dimer model. The dual theory of vortices has a PSG identical to that found in a previous paper (L. Balents et al., cond-mat/0408329) by a duality analysis of bosons on the square lattice. The previous theory therefore also describes fluctuations across superconducting, supersolid and Mott insulating phases of the present electronic model. Finally, with the aim of describing neutron scattering experiments, we present a phenomenological model for collective S=1 excitations and their coupling to superflow and density wave fluctuations.
Balents Leon
Bartosch Lorenz
Burkov Anton
Sachdev Subir
Sengupta Kausik
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