# Weak phase stiffness and nature of the quantum critical point in underdoped cuprates

Source: [Weak phase stiffness and nature of the quantum critical point in underdoped cuprates](<https://www.sota2.com/research/paper/68fa32791e209131ce88857a>)

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

Data updated: 2025-10-24T19:31:01.112Z

Authors: Yucel Yildirim, Wei Ku

Published: 2013-02-28T20:55:40.000Z

## Abstract

We demonstrate that the zero-temperature superconducting phase diagram of underdoped cuprates can be quantitatively understood in the strong binding limit, using only the experimental spectral function of the "normal" pseudo-gap phase without any free parameter. In the prototypical (La$\_{1-x}$Sr$\_x$)$\_2$CuO$\_4$, a kinetics-driven $d$-wave superconductivity is obtained above the critical doping $\\delta\_c\\sim 5.2\\%$, below which complete loss of superfluidity results from local quantum fluctuation involving local $p$-wave pairs. Near the critical doping, a enormous mass enhancement of the local pairs is found responsible for the observed rapid decrease of phase stiffness. Finally, a striking mass divergence is predicted at $\\delta\_c$ that dictates the occurrence of the observed quantum critical point and the abrupt suppression of the Nernst effects in the nearby region.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1302.7317>)

[PDF](<https://arxiv.org/pdf/1302.7317.pdf>)