Finite Temperature Properties of the Mixed Diamond Chain with Spins 1 and 1/2

Abstract

We formulate statistical mechanics for the mixed diamond chain with spins of magnitudes 1 and 1/2. Owing to a series of conservation laws, any eigenstate of this system is decomposed into eigenstates of finite odd-length spin-1 chains. The ground state undergoes five quantum phase transitions with varying the parameter $\lambda$ controlling frustration. We obtain the values of the residual entropy and the Curie constant which characterize each phase and phase boundary at low temperatures. We further find various characteristic finite-temperature properties such as the nonmonotonic temperature dependence of the magnetic susceptibility, the multipeak structure in the $\lambda$-dependence of entropy, the plateau-like temperature dependence of entropy and the multipeak structure of specific heat.

23 pages, 10 figures

References in corpus (8)

• Magnetic phase diagram of the S=1/2 antiferromagnetic zigzag spin chain in the strongly frustrated region: cusp and plateau
• Quantum vs. Classical Magnetization Plateaus of S=1/2 Frustrated Heisenberg Chains
• Fractional S^z excitation and its bound state around the 1/3 plateau of the S=1/2 Ising-like zigzag XXZ chain
• Frustration-induced quantum phase transitions in a quasi-one-dimensional ferrimagnet: Hard-core boson map and the Ton ks-Girardeau limit
• Frustration Induced Quantum Phases in Mixed Spin Chain with Frustrated Side Chains
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• Frustrated Ising Model on a Diamond Hierarchical Lattice
• Disordered ground states in a quantum frustrated spin chain with side chains

Cited by in corpus (13)

• Exactly solvable mixed-spin Ising-Heisenberg diamond chain with the biquadratic interactions and single-ion anisotropy
• Haldane Phases and Ferrimagnetic Phases with Spontaneous Translational Symmetry Breakdown in Distorted Mixed Diamond Chains with Spins 1 and 1/2
• Frustrated magnetism of spin-1/2 Heisenberg diamond and octahedral chains as a statistical-mechanical monomer-dimer problem
• Exact spin-cluster ground states in a mixed diamond chain
• Magnetic properties of the quantum spin-1/2 XX diamond chain: The Jordan-Wigner approach
• Quantum Phase Transitions in Alternating-Bond Mixed Diamond Chains with Spins 1 and 1/2
• Ground State Phase Diagram of S=1 Diamond Chains
• Quantum Rotors on the AB${}_2$ Chain with Competing Interactions
• Effects of Single-site Anisotropy on Mixed Diamond Chains with Spins 1 and 1/2
• Ground-State Phases of Anisotropic Mixed Diamond Chains with Spins 1 and 1/2
• Coupled Cluster Treatment of the Alternating Bond Diamond Chain
• Scaling Property of the F-AF Spin Chain Near the Exactly Solvable Point
• Exact Thermodynamic Properties of (1,1/2) Mixed Diamond Chains with Strong Single-Site Anisotropy