Quantum criticality with two length scales

TL;DR

This paper introduces a two-length-scale scaling theory for deconfined quantum critical points, resolving previous simulation discrepancies and revising understanding of quantum phase transitions in strongly-correlated systems.

Contribution

It proposes and validates a novel critical scaling form with two divergent length scales, advancing the theoretical framework of quantum criticality.

Findings

Confirmed a continuous quantum phase transition with deconfined excitations

Reconciled simulation deviations with the two-length-scale scaling form

Explained anomalous scaling behavior at finite temperature

Abstract

The theory of deconfined quantum critical points describes phase transitions at temperature T = 0 outside the standard paradigm, predicting continuous transformations between certain ordered states where conventional theory requires discontinuities. Numerous computer simulations have offered no proof of such transitions, however, instead finding deviations from expected scaling relations that were neither predicted by the DQC theory nor conform to standard scenarios. Here we show that this enigma can be resolved by introducing a critical scaling form with two divergent length scales. Simulations of a quantum magnet with antiferromagnetic and dimerized ground states confirm the form, proving a continuous transition with deconfined excitations and also explaining anomalous scaling at T > 0. Our findings revise prevailing paradigms for quantum criticality, with potentially far-reaching implications for many strongly-correlated materials.