Deconfined quantum criticality of frustrated hard-core dipolar bosons

TL;DR

This paper explores the potential for deconfined quantum critical points (DQCPs) to occur in frustrated dipolar bosons in optical lattices, revealing their nature through numerical analysis and offering a platform for experimental realization.

Contribution

It demonstrates the emergence of DQCPs from fused BKT transitions in frustrated dipolar bosons, providing a new theoretical and numerical framework for understanding these unconventional phase transitions.

Findings

DQCPs arise from fusion of two BKT transitions.

Scaling of ground-state fidelity confirms DQCPs and BKTs.

Critical exponents vary for DQCPs and BKTs.

Abstract

Deconfined quantum critical points (DQCPs) are proposed as unconventional second-order phase transitions beyond the Landau-Ginzburg-Wilson paradigm. The nature and experimental realizations of DQCPs are crucial issues of importance. We illustrate the potential for DQCPs between the valence bond solid state and the antiferromagnetic phase to arise in optical lattices containing frustrated dipolar bosons subject to hard-core constraints. The emergence of DQCPs is comprehended through the fusion of two Berezinskii-Kosterlitz-Thouless (BKT) transitions. The DQCPs and the BKTs are confirmed by the scaling of ground-state fidelity susceptibilities in finite systems and the analysis of order parameters obtained from infinite systems. The numerical analysis reveals varying critical exponents of the correlation length in DQCPs and the logarithmic scaling in BKTs, respectively. This work offers a promising platform for realizing DQCPs and provides valuable insights into their nature within the framework of topological phase transitions.