# Fermi surface reconstruction by a charge-density-wave with finite correlation length

## TL;DR

This paper studies how finite correlation length in charge-density-waves affects Fermi surface reconstruction and quantum oscillations, with implications for understanding cuprate superconductors.

## Contribution

It introduces an effective Dingle factor considering finite correlation length and analyzes its impact on Fermi surface reconstruction in cuprates.

## Key findings

- Finite correlation length suppresses quantum oscillations exponentially.
- Bidirectional CDW correlation lengths are too short to explain observed reconstructions.
- Unidirectional CDW correlation lengths are sufficient for Fermi surface reconstruction.

## Abstract

Even a small amplitude charge-density-wave (CDW) can reconstruct a Fermi surface, giving rise to new quantum oscillation frequencies. Here, we investigate quantum oscillations when the CDW has a finite correlation length $\xi$ -- a case relevant to the hole-doped cuprates. By considering the Berry phase induced by a spatially varying CDW phase, we derive an effective Dingle factor that depends exponentially on the ratio of the cyclotron orbit radius, $R_c$, to $\xi$. In the context of YBCO, we conclude that the values of $\xi$ reported to date for bidirectional CDW order are, prima facie, too short to account for the observed Fermi surface reconstruction; on the other hand, the values of $\xi$ for the unidirectional CDW are just long enough.