Composite quasiparticles and the "hidden" quantum critical point in the topological transition scenario of high-$T_c$ cuprates

TL;DR

This paper investigates the role of topological excitations and composite quasiparticles in the phase diagram of high-$T_c$ cuprates, revealing a hidden quantum critical point through quantum interference effects.

Contribution

It introduces a topological framework using composite fermions and instanton events to explain the hidden quantum critical point in cuprates.

Findings

Identification of topological instanton effects in the phase diagram.

Evidence for a hidden quantum critical point.

Role of composite quasiparticles in cuprate physics.

Abstract

The quantum interference effects due to the Aharonov-Bohm-type phase factors are studied in the layered $t-t'-t_\perp-U-J$ strongly correlated system relevant for cuprates. Casting Coulomb interaction in terms of composite-fermions via the flux attachment facility, we argue that U(1) compact group instanton events labeled by a topological winding number are essential configurations of the phase field dual to the charge. The impact of these topological excitations is calculated for the phase diagram, which displays the "hidden" quantum critical point.