Reconstruction of the Fermi surface in the pseudogap state of cuprates

TL;DR

This paper models the Fermi surface reconstruction in cuprates' pseudogap state, showing the transition from Fermi arcs to electron and hole pockets, and provides criteria for observing quantum oscillations in high magnetic fields.

Contribution

It introduces a nearly exactly solvable model capturing the evolution of the Fermi surface in the pseudogap state, linking experimental observations across different temperature regimes.

Findings

Demonstrates the evolution from Fermi arcs to small electron and hole pockets.

Provides a qualitative criterion for quantum oscillations in high magnetic fields.

Connects ARPES and quantum oscillation experimental results.

Abstract

Reconstruction of the Fermi surface of high-temperature superconducting cuprates in the pseudogap state is analyzed within nearly exactly solvable model of the pseudogap state, induced by short-range order fluctuations of antiferromagnetic (AFM, spin density wave (SDW), or similar charge density wave (CDW)) order parameter, competing with superconductivity. We explicitly demonstrate the evolution from "Fermi arcs" (on the "large" Fermi surface) observed in ARPES experiments at relatively high temperatures (when both the amplitude and phase of density waves fluctuate randomly) towards formation of typical "small" electron and hole "pockets", which are apparently observed in de Haas - van Alfen and Hall resistance oscillation experiments at low temperatures (when only the phase of density waves fluctuate, and correlation length of the short-range order is large enough). A qualitative criterion for quantum oscillations in high magnetic fields to be observable in the pseudogap state is formulated in terms of cyclotron frequency, correlation length of fluctuations and Fermi velocity.