Fermi momentum resolved charge order for spin disordered stripes

TL;DR

This paper investigates how charge order manifests differently along the Fermi surface in doped antiferromagnets with stripe correlations, revealing a coexistence of a nodal liquid and static charge stripes depending on the momentum region.

Contribution

It demonstrates the momentum-dependent manifestation of charge order and provides a detailed analysis of Fermi surface features in stripe-ordered systems, including implications for hole and electron pockets.

Findings

Charge order appears differently in nodal and antinodal regions.

Nodal liquid can coexist with static charge stripes without static spin order.

Estimated upper limits for hole pocket areas are 1.6% and 4% for different charge periods.

Abstract

For a doped antiferromagnet with short-range spin stripe correlations and long-range charge stripe order we find that the manifestation of charge order changes abruptly as a function of momentum along the Fermi surface. The disorder averaged local density of states is almost perfectly homogeneous when integrated only over states which contribute to the ``nodal'' spectral weight whereas it displays long range charge stripe order when integrated only over states which contribute to the ``antinodal'' spectral weight. An effectively two dimensional nodal liquid can thus coexist with static charge stripes provided there is no static spin order. We also study commensurate spin and charge stripe ordered systems where the Fermi surface consists of a nodal hole pocket and an open ``stripe band'' section. Due to the stripe order the relation between hole density and size of a pocket will be reduced compared to a paramagnet by a factor of two for even charge period and four for odd charge period and we find an estimated upper limit on the area fraction of a hole pocket of 1.6% for charge period four and 4% for charge period five. We also discuss why electron pockets are not expected for a stripe ordered system and show that the open Fermi surface section may be electron like with a negative Hall coefficient.