Numerical Test of the Energy Scale of Columnar Dimerization in High-T_{c} Cuperate Superconductors

TL;DR

This paper investigates whether bond dimerization energy scales in cuprate superconductors are large enough to impact key physical phenomena, using numerical simulations on ladder models.

Contribution

It provides a quantitative analysis showing that the energy scales from bond dimerization are too small to significantly influence cuprate superconductor mechanisms.

Findings

Maximum gap scales from bond dimerization are too small.

Numerical simulations suggest limited impact of BD on superconducting phenomena.

Supports skepticism about BD's role in high-Tc superconductivity.

Abstract

Spontaneous bond dimerization (BD) was cojectured to be central to the physics of the cuperate superconductors. Based on ladder models and numerical simulations, we examine the quantitative issue of whether the energy scales involved are sufficient to influence the mechanisms of pairing, stripe formation, pseudo-gap, and quantum critical `normal' state phenomena. We present preliminary evidence that maximum gap scales derived from BD are always too small.