Anomalous enhancement of Neel order in the $S=1/2$ square lattice Heisenberg model under fictitious magnetic field

Abstract

Fictitious magnetic fields can be introduced in quantum magnets by the strain engineering and the Aharonov-Casher effect. Here, we study impacts of a uniform fictitious magnetic field and corresponding Landau quantization on the Neel order in the $S=1/2$ Heisenberg model on the square lattice as a prototypical system of quantum magnets. We first analyze the system by using the spin-wave approximation. It is found that the staggered magnetization is enhanced by the fictitious magnetic field and it shows a simple scaling behavior with respect to the magnetic length, in contrast to a naive expectation based on the Dzyaloshinskii-Moriya interaction. We also perform density matrix renormalization group calculations to fully take quantum effects into account and obtain quantitatively more accurate results. The enhancement is found to be anomalously strong and it shows a non-trivial scaling behavior or a fluctuation induced discontinuity. These results are beyond the well known understanding of correlated systems under magnetic fields called the magnetic catalysis.

11 pages

References in corpus (22)

• The ITensor Software Library for Tensor Network Calculations
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Magnonic topological insulators in antiferromagnets
• Electric-field coupling to spin waves in a centrosymmetric ferrite
• Magnonic quantum Hall effect and Wiedemann-Franz law
• Magnetic catalysis of a charged Bose-Einstein condensate
• Strain-induced pseudo-magnetic field in $\alpha -{\mathcal{T}}_3$ lattice
• Strain-induced pseudomagnetic field and quantum oscillations in kagome crystals
• Magnon quantum anomalies in Weyl ferromagnets
• Magnetic catalysis in the (2+1)-dimensional Gross-Neveu model
• Magnon Landau Levels and Spin Responses in Antiferromagnets
• The Spin-Half {\it XXZ} Antiferromagnet on the Square Lattice Revisited: A High-Order Coupled Cluster Treatment
• Magnon Landau levels in the strained antiferromagnetic honeycomb nanoribbons
• Quantum Monte Carlo study of honeycomb antiferromagnets under a triaxial strain
• Continuous similarity transformation for critical phenomena: easy-axis antiferromagnetic XXZ model
• Towards an experimental proof of the magnonic Aharonov$-$Casher effect
• Tunable valley filtering in dynamically strained $\alpha$-${\mathcal{T}}_3$ lattices
• Quantum criticality of magnetic catalysis in two-dimensional correlated Dirac fermions
• Electric field control of magnons in magnetic thin films: ab initio predictions for 2D metallic heterostructures
• Study of Staggered Magnetization in the Spin-$S$ Square-Lattice Heisenberg Model Using Spiral Boundary Conditions
• Quantitative description of long-range order in the anisotropic spin-1/2 Heisenberg antiferromagnet on the square lattice
• Pseudo-magnetic fields in square lattices

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