Critical Fluctuation Operators for a Quantum Model of Ferroelectric

TL;DR

This paper investigates how the decay rate of interactions influences critical fluctuation operators in a quantum ferroelectric model, providing explicit calculations of critical exponents for fluctuation behaviors.

Contribution

It introduces an exactly solvable quantum model of ferroelectricity and derives explicit critical exponents for fluctuation operators based on interaction decay.

Findings

Critical exponents for displacement fluctuations calculated.

Critical exponents for momentum fluctuations calculated.

Dependence of fluctuation operators on interaction decay rate established.

Abstract

We consider dependence of the critical fluctuation operators on the rate of interaction decay for an exactly soluble model of the quantum anharmonic crystal of ferroelectric type. The critical exponents for the abnormal behavior of the displacement and momentum fluctuation operators on the critical line are calculated explicitly.