Bosonic resonating valence bond wave function for doped Mott insulators

Abstract

We propose a new class of ground states for doped Mott insulators in the electron second-quantization representation. They are obtained from a bosonic resonating valence bond (RVB) theory of the t-J model. At half filling, the ground state describes spin correlations of the S=1/2 Heisenberg model very accurately. Its spin degrees of freedom are characterized by RVB pairing of spins, the size of which decreases continuously as holes are doped into the system. Charge degrees of freedom emerge upon doping and are described by twisted holes in the RVB background. We show that the twisted holes exhibit an off diagonal long range order (ODLRO) in the pseudogap ground state, which has a finite pairing amplitude, but is short of phase coherence. Unpaired spins in such a pseudogap ground state behave as free vortices, preventing superconducting phase coherence. The existence of nodal quasiparticles is also ensured by such a hidden ODLRO in the ground state, which is non-Fermi-liquid-like in the absence of superconducting phase coherence. Two distinct types of spin excitations can also be constructed. The superconducting instability of the pseudogap ground state is discussed and a d-wave superconducting ground state is obtained. This class of pseudogap and superconducting ground states unifies antiferromagnetism, pseudogap, superconductivity, and Mott physics into a new state of matter.

28 pages, 5 figures, final version to appear in Phys. Rev. B

References in corpus (16)

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• Quasiparticles as composite objects in the RVB superconductor
• Correlations in doped Antiferromagnets
• Quantum Ginzburg-Landau theory of doped Mott insulators
• Magnetic Incommensurability in Doped Mott Insulator

Cited by in corpus (9)

• On the sign structure of doped Mott insulators
• Superconducting ground state of a doped Mott insulator
• Mottness collapse and statistical quantum criticality
• Low-Temperature Pseudogap Phenomenon: Precursor of High-$T_c$ Superconductivity
• Lower Pseudogap Phase: A Spin/Vortex Liquid State
• Hole pairing from attraction of opposite chirality spin vortices: Non-BCS superconductivity in Underdoped Cuprates
• A non-BCS mechanism for superconductivity in underdoped cuprates via attraction between spin vortices
• Superconductivity, pair density wave, and Neel order in cuprates
• Charge dynamics in the phase string model for high-Tc superconductors