2025/09/02 by Wang, Zhiyan, Wang, Zhe, Ding, Yi-Ming +3
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el)
paper · doi:10.48550/arxiv.2509.02044
We investigate the second order Rényi entanglement entropy at the quantum critical point of spin-1/2 antiferromagnetic Heisenberg model on a columnar dimerized square lattice. The universal constant γ in the area-law scaling S2(ℓ) = αℓ - γ is found to be sensitive to the entangling surface configurations, with γsp > 0 for strong-bond-cut (special) surfaces and γord < 0 for weak-bond-cut (ordinary) surfaces, which is attributed to the distinct conformal boundary conditions. Introducing boundary dimerization drives a renormalization group (RG) flow from the special to the ordinary boundary criticality, and the constant γ decreases monotonically with increasing dimerization strength, demonstrating irreversible evolution under the boundary RG flow. These results provide strong numerical evidence for a higher-dimensional analog of the g-theorem, and suggest γ as a characteristic function for boundary RG flow in (2+1)-dimensional conformal field theory.