# Nonlinear transport by vortex tangles in cuprate high-temperature superconductors

## TL;DR

This paper introduces a unified vortex tangle model for cuprate superconductors, explaining nonlinear transport phenomena and validating key theoretical concepts with experimental data.

## Contribution

It presents a novel unified model that captures both low-density vortex dynamics and dense vortex core collisions, resolving previous discrepancies in vortex fluctuation theories.

## Key findings

- Accurately predicts nonlinear resistivity dependence on magnetic field.
- Validates vortex tangle concept and phase fluctuation scenario of pseudogap.
- Matches experimental data across multiple samples.

## Abstract

A unified model of vortex tangles is proposed to describe unconventional transport in cuprate high-temperature superconductors, which not only captures the fast vortices scenario at low density, but also predicts a novel mechanism of core-core collisions in dense vortex fluid regime. The theory clarifies the nature of vortex fluctuations being the quantum fluctuations of holes and then resolves a discrepancy of two orders of magnitude of Anderson's damping model $\hbar n_v$, with right prediction of the nonlinear field dependence of the resistivity $\rho=\rho_n(B+B_T)/(B_0+B+B_T)$ and the Nernst effect, validated by data of several samples. Consequently, Anderson's vortex tangles concept and phase fluctuation scenario of pseudogap are verified quantitatively.