Magnetic susceptibility of quantum spin systems calculated by sine square deformation: one-dimensional, square lattice, and kagome lattice Heisenberg antiferromagnets

Abstract

We develop a simple and unbiased numerical method to obtain the uniform susceptibility of quantum many body systems. When a Hamiltonian is spatially deformed by multiplying it with a sine square function that smoothly decreases from the system center toward the edges, the size-scaling law of the excitation energy is drastically transformed to a rapidly converging one. Then, the local magnetization at the system center becomes nearly size independent; the one obtained for the deformed Hamiltonian of a system length as small as L=10 provides the value obtained for the original uniform Hamiltonian of L=100. This allows us to evaluate a bulk magnetic susceptibility by using the magnetization at the center by existing numerical solvers without any approximation, parameter tuning, or the size-scaling analysis. We demonstrate that the susceptibilities of the spin-1/2 antiferromagnetic Heisenberg chain and square lattice obtained by our scheme at L=10 agree within 10 to (-3) with exact analytical and numerical solutions for L=infinite down to temperature of 0.1 times the coupling constant. We apply this method to the spin-1/2 kagome lattice Heisenberg antiferromagnet which is of prime interest in the search of spin liquids.

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References in corpus (12)

• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Vesignieite BaCu3V2O8(OH)2 as a Candidate Spin-1/2 Kagome Antiferromagnet
• Numerical Linked-Cluster Approach to Quantum Lattice Models
• Magnetic Susceptibility of the Kagome Antiferromagnet ZnCu3(OH)6Cl2
• Magnetism of the N=42 kagome lattice antiferromagnet
• Connecting distant ends of one-dimensional critical systems by a sine-square deformation
• Exact ground state of the sine-square deformed XY spin chain
• Suppression of finite-size effects in one-dimensional correlated systems
• Sine-square deformation and Mobius quantization of two-dimensional conformal field theory
• Spin susceptibility of quantum magnets from high to low temperatures
• Sine-Square Deformation and its Relevance to String Theory
• Zero-energy states in conformal field theory with sine-square deformation

Cited by in corpus (17)

• Gapless ground state in the archetypal quantum kagome antiferromagnet ZnCu${}_3$(OH)${}_6$Cl${}_2$
• The fine structure of heating in a quasiperiodically driven critical quantum system
• Effect of perturbations on the kagome $S=1/2$ antiferromagnet at all temperatures
• Adapting Planck's route to investigate the thermodynamics of the spin-half pyrochlore Heisenberg antiferromagnet
• Thermodynamics of the spin-half square-kagome lattice antiferromagnet
• Emergent spin-gapped magnetization plateaus in a spin-1/2 perfect kagome antiferromagnet
• Thermal Pure Quantum Matrix Product States Recovering a Volume Law Entanglement
• Dimensional reduction in quantum spin-1/2 system on a 1/7-depleted triangular lattice
• Heat conduction in herbertsmithite: field dependence at the onset of the quantum spin liquid regime
• Sine-square deformed mean-field theory
• Sine-square deformation applied to classical Ising models
• Signatures of the finite-temperature mirror symmetry breaking in the $S$=1/2 Shastry-Sutherland model
• Thermal pure matrix product state in two dimensions: tracking thermal equilibrium from paramagnet down to the Kitaev honeycomb spin liquid state
• Fluctuation based interpretable analysis scheme for quantum many-body snapshots
• Energy Scale Deformation on Regular Polyhedra
• The magnetization process of classical Heisenberg magnets with non-coplanar cuboc ground states
• Specific heat and susceptibility of S=1/2 antiferromagnets on square, triangular, and kagome lattices