Magnetization plateau and quantum phase transition of the S=1/2 trimerized XXZ spin chain

Abstract

We study the plateau of the magnetization curve at $M=M_{\mathrm{s}}/3$ ($M_{\mathrm{s}}$ is the saturation magnetization) of the $S=1/2$ trimerized $XXZ$ spin chain. By examining the level crossing of low-lying excitations obtained from the numerical diagonalization, we precisely determine the phase boundary between the plateau state and the no-plateau state on the $\Delta -t$ plane, where $\Delta$ denotes the $XXZ$ anisotropy and $t$ the magnitude of the trimerization. This quantum phase transition is of the Berezinskii-Kosterlitz-Thouless type.

11 pages, 8 figures

References in corpus (6)

• Magnetization Plateaux in N-Leg Spin Ladders
• Magnetization plateau in S=3/2 antiferromagnetic Heisenberg chain with anisotropy
• $SU(2)/Z_2$ symmetry of the BKT transition and twisted boundary conditio n
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Cited by in corpus (21)

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• Quantum vs. Classical Magnetization Plateaus of S=1/2 Frustrated Heisenberg Chains
• Multi-plateau magnetization curves of one-dimensional Heisenberg ferrimagnets
• Thermodynamics of Spin-1/2 AF-AF-F and F-F-AF Trimerized Quantum Heisenberg Chains
• Existence of the magnetization plateau in a class of exactly solvable Ising-Heisenberg chains
• Magnetization-plateau state of the S=3/2 spin chain with single ion anisotropy
• Magnetic properties of exactly solvable doubly decorated Ising-Heisenberg planar models
• Breakdown of the magnetization plateau of the S=1/2 ferromagnetic-ferromagnetic-antiferromagnetic trimerized spin chain with anisotropy
• Magnetization plateaus and phase diagram in polymerized S=1/2 XXZ chains
• Local magnetic properties of periodic nonuniform spin-1/2 XX chains
• Magnetization plateaus in antiferromagnetic-(ferromagnetic)_{n} polymerized S=1/2 XXZ chains
• Translational symmetry broken magnetization plateau of the S=1 antiferromagnetic Heisenberg chain with competing anisotropies
• Macroscopic degeneracy of ground state in the frustrated Heisenberg diamond chain
• Magnetization Plateau of the Distorted Diamond Spin Chain with Anisotropic Ferromagnetic Interaction
• Magnetization Plateau of the Distorted Diamond Spin Chain
• Quantum Phase Transition in the Twisted Three-Leg Spin Tube
• Quantum Phase Transition of S=1/2 Trimerized XXZ Spin Chain in Magnetic Field
• Translational-Symmetry-Broken Magnetization Plateaux of the $S=3/2$ Anisotropic Antiferromagnetic Chain
• Fermionic Approach to Elementary Excitations and Magnetization Plateaus in an S=1/2 XX Hybrid Trimer-Dimer Chain