Critical role of the sign structure in the doped Mott insulator: Superconductivity vs. Fermi liquid

Abstract

Mechanism of superconductivity (SC) in a purely interacting electron system has been one of the most challenging issues in condensed matter physics. In the BCS theory, the Landau's Fermi liquid is a normal state against which an SC instability occurs once an \emph{additional} pairing force is added. We show that in the doped Mott insulator an \emph{intrinsic} SC ground state (specifically a Luther-Emery state in a finite-doping two-leg $t$-$J$ ladder) can be directly turned into a Fermi-gas-like state by merely switching off the hidden statistical sign structure via two schemes. It points to a new pairing paradigm, %beyond the resonating-valence-bond scheme, which is an "Amperean-like pairing" with a "stringlike" pairing force as shown by an adiabatic continuity to a strong anisotropic limit of the model.

arXiv comment8 pages, 5 figures

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• Enhanced superconductivity by near-neighbor attraction in the doped Hubbard model
• Pair density wave in doped three-band Hubbard model on two-leg square cylinders
• Superconducting valence bond fluid in lightly doped 8-leg $t$-$J$ cylinders
• Ground-state phase diagram of the extended two-leg $t$-$J$ ladder
• Robust superconducting correlation against inter-site interactions in the extended two-leg Hubbard ladder
• Phase Diagram, $d$-Wave Superconductivity, and Pseudogap of the $t$-$t^{\prime }$-$J$ Model at Finite Temperature
• Hund's Rule, Interorbital Hybridization, and High-$T_c$ Superconductivity in the Bilayer Nickelate
• Proposal for asymmetric photoemission and tunneling spectroscopies in quantum simulators of the triangular-lattice Fermi-Hubbard model
• Sign structure of the $t$-$t^{\prime }$-$J$ model and its physical consequences
• Extracting the Speed of Light from Matrix Product States
• Pair density wave characterized by a hidden string order parameter
• Mottness, Phase String, and High-$T_c$ Superconductivity
• Revealing quantum phase string effect in doped Mott-insulator: a tensor network state approach
• Effect of phase string on single-hole dynamics in the two-leg Hubbard ladder
• Coupled Hubbard ladders at weak coupling: Pairing and spin excitations