Isothermal and adiabatic magnetization processes of the spin-$\frac{1}{2}$ Heisenberg model on an anisotropic triangular lattice

Abstract

In this study, we investigate the magnetic susceptibility, entropy, and isothermal magnetization curve of the spin-1/2 Heisenberg model on an anisotropic triangular lattice using the orthogonalized finite-temperature Lanczos method. In addition, we investigate the adiabatic magnetization curve and magnetocaloric effect. We estimate these physical quantities with sufficient accuracy in the thermodynamic limit, except at low temperatures. We observe a 1/3 magnetization plateau in the isothermal magnetization process, whereas the plateau is observed to have a slope in the adiabatic process. We show that the magnetocaloric effect can be used to detect the signature of phase transitions. We believe that these results will be useful for understanding the magnetism of anisotropic triangular lattice compounds through a comparison with experimental results in the future.

References in corpus (43)

• Experimental realization of a 2D fractional quantum spin liquid
• Universally diverging Grueneisen parameter and the magnetocaloric effect close to quantum critical points
• Experimental Realization of Spin-1/2 Triangular-Lattice Heisenberg Antiferromagnet
• Observation of extended scattering continua characteristic of spin fractionalization in the 2D frustrated quantum magnet Cs2CuCl4 by neutron scattering
• Unusual ordered phases of highly frustrated magnets: a review
• Magnetization Process and Collective Excitations in the S=1/2 Triangular-Lattice Heisenberg Antiferromagnet Ba3CoSb2O9
• Direct Measurement of the Spin Hamiltonian and Observation of Condensation of Magnons in the 2D Frustrated Quantum Magnet Cs2CuCl4
• Magnetization of SrCu2(BO3)2 in ultrahigh magnetic fields up to 118 T
• Ground State and Finite Temperature Lanczos Methods
• Magnetostriction and magnetic texture to 97.4 Tesla in frustrated SrCu2(BO3)2
• Finite temperature properties and frustrated ferromagnetism in a square lattice Heisenberg model
• High magnetic fields for fundamental physics
• Temperature Dependence of the Magnetic Susceptibility for Triangular-Lattice Antiferromagnets with spatially anisotropic exchange constants
• Magnetism of the N=42 kagome lattice antiferromagnet
• High field properties of geometrically frustrated magnets
• Properties of highly frustrated magnetic molecules studied by the finite-temperature Lanczos method
• Magnetocaloric effect in the frustrated square lattice J1-J2 model
• A series of magnon crystals appearing under ultrahigh magnetic fields in a kagomé antiferromagnet
• Direct determination of exchange parameters in Cs2CuBr4 and Cs2CuCl4: high-field ESR studies
• Magnetic phases of a highly frustrated magnet, ZnCr2O4, up to an ultra-high magnetic field of 600 T
• Magnetization plateaux of S = 1/2 two-dimensional frustrated antiferromagnet Cs${}_2$CuBr${}_4$
• Ground States of Spin-1/2 Triangular Antiferromagnets in a Magnetic Field
• Accuracy of the finite-temperature Lanczos method compared to simple typicality-based estimates
• Adiabatic measurements of magneto-caloric effects in pulsed high magnetic fields up to 55 T
• Exact calculation of the magnetocaloric effect in the spin-1/2 XXZ chain
• Magnon crystallization in the kagome lattice antiferromagnet
• Quantum stabilization of classically unstable plateau structures
• Quantum magnetic properties of the spin-1/2 triangular-lattice antiferromagnet Ba${}_2$La${}_2$CoTe${}_2$O${}_{12}$
• Finite-temperature properties of the Kitaev-Heisenberg models on kagome and triangular lattices studied by improved finite-temperature Lanczos methods
• Advanced Finite-Temperature Lanczos Method for anisotropic spin systems
• Enhancement and Discontinuity of Effective Mass through the First-Order Metamagnetic Transition in UTe${}_2$
• Thermodynamic properties of an $S=1/2$ ring-exchange model on the triangular lattice
• Kondo Lattice Model with Finite Temperature Lanczos Method
• Capacitive detection of magnetostriction, dielectric constant, and magneto-caloric effects in pulsed magnetic fields
• Magnetization process of the breathing pyrochlore magnet CuInCr${}_4$S${}_8$ in ultra-high magnetic fields up to 150 T
• Particle-hole symmetry breaking in a spin-dimer system TlCuCl${}_3$ observed at 100 T
• Magnetic structure and high-field magnetization of the distorted kagome lattice antiferromagnet Cs${}_2$Cu${}_3$SnF${}_{12}$
• One-dimensionalization by Geometrical Frustration in the Anisotropic Triangular Lattice of the 5d Quantum Antiferromagnet Ca3ReO5Cl2
• Variational Studies of Triangular Heisenberg Antiferromagnet in Magnetic Field
• Application of the finite-temperature Lanczos method for the evaluation of magnetocaloric properties of large magnetic molecules
• Vanishing Wilson ratio as the hallmark of quantum spin-liquid models
• Temperature Dependence of Spin Correlation and Charge Dynamics in the Stripe Phase of High-T_c Superconductors
• Anisotropic Triangular Lattice Realized in Rhenium Oxychlorides A3ReO5Cl2 (A = Ba and Sr)

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• Finite-temperature properties of the easy-axis Heisenberg model on frustrated lattices
• Stability of the 1/3 magnetization plateau of the $J_1-J_2$ kagome Heisenberg model
• Dimensional reduction and incommensurate dynamic correlations in the $S=\frac{1}{2}$ triangular-lattice antiferromagnet Ca${}_3$ReO${}_5$Cl${}_2$