Anomalous scaling corrections and quantum phase diagram of the Heisenberg antiferromagnet on the spatially anisotropic honeycomb lattice

Abstract

Using large-scale quantum Monte Carlo simulations, we determine the ground state phase diagram of the spin-1/2 antiferromagnetic Heisenberg model on the honeycomb lattice for the most generic case of three varying interaction strengths along the different lattice directions. We identify continuous quantum phase transition lines that separate the long-range ordered antiferromagnetic regime from three distinct quantum-disordered phases, each characterized by dominant dimer-singlet formations. The finite-size behavior along these phase transition lines exhibits anomalously large corrections to scaling, which we relate to similar recent findings in certain dimerized quantum spin systems and to singular one-dimensional limits in the model parameter space. We also comment more generally on the non-universality of critical cumulant ratios in anisotropic systems and attempts to restore universality by varying the aspect ratio.

arXiv comment8 pages, 13 figures

References in corpus (19)

• Critical Exponents of the N-vector model
• Stochastic series expansion method with operator-loop update
• Critical exponents and equation of state of the three-dimensional Heisenberg universality class
• Theory of Two-Dimensional Quantum Heisenberg Antiferromagnets with a Nearly Critical Ground State
• Ground-State Phase Diagram of Quantum Heisenberg Antiferromagnets on the Anisotropic Dimerized Square Lattice
• High-precision finite-size scaling analysis of the quantum-critical point of S=1/2 Heisenberg antiferromagnetic bilayers
• Eliminating leading corrections to scaling in the 3-dimensional O(N)-symmetric phi^4 model: N=3 and 4
• Evidence of Unconventional Universality Class in a Two-Dimensional Dimerized Quantum Heisenberg Model
• Critical Binder cumulant in two-dimensional anisotropic Ising models
• Nonuniversal finite-size scaling in anisotropic systems
• Anomalous quantum-critical scaling corrections in two-dimensional antiferromagnets
• Critical Binder cumulant for isotropic Ising models on square and triangular lattices
• Two-particle decay and quantum criticality in dimerized antiferromagnets
• Solving the puzzle of an unconventional phase transition for a 2d dimerized quantum Heisenberg model
• Monte Carlo simulation with aspect ratio optimization: Anomalous anisotropic scaling in dimerized antiferromagnet
• Subtlety of Determining the Critical Exponent $\nu$ of the Spin-1/2 Heisenberg Model with a Spatially Staggered Anisotropy on the Honeycomb Lattice
• Exact Critical Casimir Amplitude of Anisotropic Systems from Conformal Field Theory and Self-Similarity of Finite-Size Scaling Functions in $d\ge 2$ Dimensions
• Multiparameter universality and directional nonuniversality of exact anisotropic critical correlation functions of the two-dimensional Ising universality class
• Multiparameter universality and conformal field theory for anisotropic confined systems: test by Monte Carlo simulations

Cited by in corpus (2)

• Imaginary-time relaxation quantum critical dynamics in two-dimensional dimerized Heisenberg model
• Exact staggered dimer ground state and its stability in a two-dimensional magnet