Implicit Anyon or Single Particle Boson Mechanism of HTCS and Pseudogap Regime

TL;DR

This paper proposes a novel single particle boson mechanism involving anyon-induced spin coupling to explain high-temperature superconductivity and the pseudogap phase, linking experimental phase diagrams to bosonic phase transitions.

Contribution

It introduces a new bosonic mechanism based on anyon spin coupling that explains HTCS and pseudogap phenomena, connecting phase transitions to structural and magnetic effects.

Findings

Qualitative and quantitative explanation of cuprate phase diagram

Pseudogap as a region of meta-stable bosons outside BEC

Superconducting transition as a first-order phase transition

Abstract

We propose a single particle boson mechanism of High T_c Superconductivity (HTCS) and pseudogap regime. Bosons appear in it due to the coupling of spins of the two-dimensional (2D) fermions with statistical magnetic field induced by anyon vector potential. The ground state of 2D gas is pure bosonic if gas is not dense. At the dense limit of gas the interaction of effective (coupled with the statistical magnetic field) spins of bosons leads to the increasing of their fluctuations, which destroy the coupling. An experimental phase diagram of the hole doped superconducting cuprates discussed in the paper of Tallon and Loram might qualitatively and quantitatively be clarified in the framework of this mechanism. The vicinity of the structural phase transition to superconducting state might strengthen the possible quadratic striction in the sample and the phase transition of bosons into Bose-Einstein condensate (BEC), which is responsible for the superconductivity (SC), is not second order, but first, close to second one. According this treatment the pseudogap regime is the region of meta stable bosons, which are out of the BEC. At the pseudogap boundary, E_g, the bosons finally undergo the phase transition into fermions. Non-Fermi liquid like property of quasi-particles discussed in the literature might be related to bosons with spins in the pseudogap regime.