Large Isolated Stripes on Short 18-leg $t$-$J$ Cylinders

TL;DR

This study uses advanced numerical methods to analyze the formation and properties of spin-charge stripes in wide 18-leg $t$-$J$ cylinders, revealing microscopic regimes and providing insights into stripe phenomenology relevant for high-temperature superconductors.

Contribution

It introduces a large-scale DMRG study of 18-leg cylinders to explore stripe filling fractions and microscopic regimes, extending previous finite-size analyses.

Findings

Good agreement with existing results on stripe fillings

Identification of high-filling and low-filling regimes with distinct microscopic characteristics

Insights into challenges for quantum simulation of stripe phenomena

Abstract

Spin-charge stripes belong to the most prominent low-temperature orders besides superconductivity in high-temperature superconductors. This phase is particularly challenging to study numerically due to finite-size effects. By investigating the formation of long, isolated stripes, we offer a perspective complementary to typical finite-doping phase diagrams. We use the density-matrix renormalization group algorithm to extract the ground states of an 18-leg cylindrical strip geometry, making the diameter significantly wider than in previous works. This approach allows us to map out the range of possible stripe filling fractions on the electron versus hole-doped side. We find good agreement with established results, suggesting that the spread of filling fractions observed in the literature is governed by the physics of a single stripe. Taking a microscopic look at stripe formation, we reveal two separate regimes - a high-filling regime captured by a simplified squeezed-space model and a low-filling regime characterized by the structure of individual pairs of dopants. Thereby, we trace back the phenomenology of the striped phase to its microscopic constituents and highlight the different challenges for observing the two regimes in quantum simulation experiments.