# Anisotropy in the helicity modulus of a quantum 3D XY-model: application to YBCO

Source: [Anisotropy in the helicity modulus of a quantum 3D XY-model: application to YBCO](<https://www.sota2.com/research/paper/68fa26222c2a3760193b6e13>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T11:09:37.332Z

Authors: B. Mitrovic, K. Samokhin, S. K. Bose

Published: 2003-10-14T16:55:40.000Z

## Abstract

We present a variational study of the helicity moduli of an anisotropic quantum three-dimensional (3D) XY-model of YBCO in superconducting state. It is found that both the ab-plane and the c-axis helicity moduli, which are proportional to the inverse square of the corresponding magnetic field penetration depth, vary with temperature T as T to the fourth power in the zero temperature limit. Moreover, the c-axis helicity modulus drops with temperature much faster than the ab-plane helicity modulus because of the weaker Josephson couplings along the c-axis compared to those along the ab-plane. These findings are in disagreement with the experiments on high quality samples of YBCO.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0310310>)

[PDF](<https://arxiv.org/pdf/cond-mat/0310310.pdf>)