Fermi arcs and pseudogap phase in a minimal microscopic model of $d$-wave superconductivity

Abstract

We show conclusively that a pseudogap state can arise at $T>T_c$, for reasonable pairing interaction strength, from order parameter fluctuations in a two dimensional minimal model of $d$-wave superconductivity. The occurrence of the pseudogap requires neither strong correlation nor the presence of competing order. We study a model with attractive nearest neighbor interaction and establish our result using a combination of cluster based Monte Carlo for the order parameter field and a twisted-boundary scheme to compute the momentum-resolved spectral function. Apart from a dip in the density of states that characterizes the pseudogap, the momentum and frequency resolution on our effective lattice size $\sim 160\times 160$ allows two major conclusions: (i)~at $T<T_c$, despite the presence of thermal phase fluctuations the superconductor has only nodal Fermi points while all non nodal points on the normal state Fermi surface show a two peak spectral function with a dip at $\omega =0$, and (ii)~for $T>T_c$ the Fermi points develops into arcs, characterized by a single quasiparticle peak, and the arcs connect up to recover the normal state Fermi surface at a temperature $T^{\ast }>T_c$. We show the variation of $T_c$ and $T^{\ast }$ with coupling strength and provide detailed spectral results at a coupling where $T^{\ast }\sim 1.5T_c$.

7 pages, 6 figures

References in corpus (11)

• Energy gaps in high-transition temperature cuprate superconductors
• Thermodynamic evidence for nematic phase transition at the onset of pseudogap in YBa${}_2$Cu${}_3$O${}_y$
• Protected nodes and the collapse of the Fermi arcs in high Tc cuprates
• Point nodes persisting far beyond Tc in Bi2212
• Pseudogap phase of cuprate superconductors confined by Fermi surface topology
• Linking the pseudo-gap in the cuprates with local symmetry breaking: a commentary
• Topological Transition in the Fermi Surface of Cuprate Superconductors in the Pseudogap Regime
• Fermi Arcs in the Superconducting Clustered State for Underdoped Cuprates
• Temperature dependent Fermi arcs in the normal state of the underdoped cuprate superconductors
• Robustness of the nodal d-wave spectrum to strongly fluctuating competing order
• Monte Carlo study of thermal fluctuations and Fermi-arc formation in d-wave superconductors

Cited by in corpus (1)

• High-$T_c$ superconductivity by mobilizing local spin singlets and possible route to higher $T_c$ in pressurized La${}_3$Ni${}_2$O${}_7$