Exact Solution of a Two-Species Quantum Dimer Model for Pseudogap Metals

Physical Review Letters
Johannes FeldmeierMatthias Punk

Abstract

We present an exact ground state solution of a quantum dimer model introduced by Punk, Allais, and Sachdev [Quantum dimer model for the pseudogap metal, Proc. Natl. Acad. Sci. U.S.A. 112, 9552 (2015).PNASA60027-842410.1073/pnas.1512206112], which features ordinary bosonic spin-singlet dimers as well as fermionic dimers that can be viewed as bound states of spinons and holons in a hole-doped resonating valence bond liquid. Interestingly, this model captures several essential properties of the metallic pseudogap phase in high-T_{c} cuprate superconductors. We identify a line in parameter space where the exact ground state wave functions can be constructed at an arbitrary density of fermionic dimers. At this exactly solvable line the ground state has a huge degeneracy, which can be interpreted as a flat band of fermionic excitations. Perturbing around the exactly solvable line, this degeneracy is lifted and the ground state is a fractionalized Fermi liquid with a small pocket Fermi surface in the low doping limit.

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Jul 22, 2015·Proceedings of the National Academy of Sciences of the United States of America·Matthias PunkSubir Sachdev

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Citations

Sep 14, 2018·Reports on Progress in Physics·Subir Sachdev

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Proceedings of the National Academy of Sciences of the United States of America
Matthias PunkSubir Sachdev
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