Diagnosing Quantum Phase Transition Order and Deconfined Criticality via Entanglement Entropy,Physical Review Letters

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Diagnosing Quantum Phase Transition Order and Deconfined Criticality via Entanglement Entropy
Physical Review Letters ( IF 8.1 ) Pub Date : 2024-09-04 , DOI: 10.1103/physrevlett.133.100402
Zehui Deng ₁ , Lu Liu ₂ , Wenan Guo _{1,

3,

3} , Hai-Qing Lin ₄

Affiliation

We study the scaling behavior of the Rényi entanglement entropy with smooth boundaries at the putative deconfined critical point separating the Néel antiferromagnetic and valence-bond-solid states of the two-dimensional

J - Q_{3}

model. We observe a subleading logarithmic term with a coefficient indicating the presence of four Goldstone modes, signifying the presence of an

S O (5)

symmetry at the transition point, which spontaneously breaks into an

O (4)

symmetry in the thermodynamic limit. This result supports the conjecture that an

S O (5)

symmetry emerges at the transition point, but reveals the transition to be weakly first-order. We demonstrate, through this Letter, a novel approach to detect emergent continuous symmetry and, more importantly, identify weakly first-order phase transitions efficiently, which have been notoriously challenging for conventional methods.

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