Plaquette versus ordinary $d$-wave pairing in the $t^{\prime }$-Hubbard model on a width 4 cylinder

Abstract

The Hubbard model and its extensions are important microscopic models for understanding high- $T_c$ superconductivity in cuprates. In the model with next-nearest-neighbor hopping $t^{\prime }$ (the $t^{\prime }$- Hubbard model), pairing is strongly influenced by $t^{\prime }$ . In particular, a recent study on a width-4 cylinder observed quasi-long-rage superconducting order, associated with a negative $t^{\prime }$ , which was taken to imply superconductivity in the two-dimensional (2D) limit. In this work we study more carefully pairing in the width-4 $t^{\prime }$-Hubbard model. We show that in this specific system, the pairing symmetry with $t^{\prime }<0$ is not the ordinary $d$-wave one would expect in the 2D limit. Instead we observe a so-called plaquette d-wave pairing. The plaquette d-wave exists only on a width-4 cylinder, and so is not representative of the 2D limit. We find that a negative $t^{\prime }$ suppresses the conventional d-wave, leading to plaquette pairing. In contrast, a different $t^{\prime \prime }$ coupling acting diagonally on the plaquettes suppresses plaquette pairing, leading to conventional $d$-wave pairing.

6 pages, 7 figures

References in corpus (8)

• The density-matrix renormalization group in the age of matrix product states
• Theory of Intertwined Orders in High Temperature Superconductors
• An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates
• A Strictly Single-Site DMRG Algorithm with Subspace Expansion
• Hybrid-space density matrix renormalization group study of the doped two-dimensional Hubbard model
• Competition among various charge-inhomogeneous states and d-wave superconducting state in Hubbard models on square lattices
• Coupling quantum Monte Carlo and independent-particle calculations: self-consistent constraint for the sign problem based on density or density matrix
• Effective Hamiltonian for cuprate superconductors derived from multi-scale ab initio scheme with level renormalization

Cited by in corpus (1)

• Ground State Phase Diagram of the $t$-$t^{\prime }$-$J$ model