Magnetic plateaus and jumps in a spin-1/2 ladder with alternate Ising-Heisenberg rungs: a field dependent study

Abstract

We study a frustrated two-leg spin-1/2 ladder with alternate Ising and isotropic Heisenberg rung exchange interactions, whereas, interactions along legs and diagonals are Ising type. The ground-state (GS) of this model has four exotic phases: (i) the stripe rung ferromagnet (SRFM), (ii) the anisotropic anti-ferromagnet (AAFM), (iii) the Dimer, and (iv) the stripe leg ferromagnet (SLFM) in absence of any external magnetic field. In this work, we study the effect of externally applied longitudinal and transverse fields on GS phases and note that there are two plateaus with per-site magnetization $1/4$ and $1/2$. There is another plateau at zero magnetization due to a finite spin gap in the presence of a longitudinal field. The exact diagonalization (ED) and the transfer matrix (TM) methods are used to solve the model Hamiltonian and the mechanism of plateau formation is analyzed using spin density, quantum fidelity, and quantum concurrence. In the (i) SRFM phase, Ising exchanges are dominant for all spins but the Heisenberg rungs are weak, and therefore, the magnetization shows a continuous transition as a function of the transverse field. In the other three phases [(ii)-(iv)], the Ising dimer rungs are weak and those are broken first to reach a plateau with per-site magnetization $1/4$, having a large gap which is closed by further application of the transverse field.

arXiv comment15 pages, 9 figures

References in corpus (32)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
• Magnetization plateaus in spin chains: ``Haldane gap'' for half-integer spins
• Dimerization and Incommensurate Spiral Spin Correlations in the Zigzag Spin Chain: Analogies to the Kondo Lattice
• Theory of Two-Dimensional Quantum Heisenberg Antiferromagnets with a Nearly Critical Ground State
• Gapless spin-liquid ground state in the $S=1/2$ kagome antiferromagnet
• DMRG Studies of the Spin-Half Heisenberg System with Dimerization and Frustration
• Magnetic Exchange Interactions in BaMn2As2: A Case Study of the J1-J2-Jc Heisenberg Model
• Quantum Spin Liquid in Spin 1/2 J1-J2 Heisenberg Model on Square Lattice: Many-Variable Variational Monte Carlo Study Combined with Quantum-Number Projections
• Evidence of a bond-nematic phase in LiCuVO4
• Quantum spin liquid in frustrated one dimensional LiCuSbO4
• Gapless quantum spin liquid and global phase diagram of the spin-1/2 $J_1$-$J_2$ square antiferromagnetic Heisenberg model
• Quantum Fidelity and Thermal Phase Transitions
• Critical Behavior of Anisotropic Heisenberg Mixed-Spin Chains in a Field
• Spin dynamics of SrCu${}_2$O${}_3$ and the Heisenberg ladder
• Phase diagrams of spin ladders with ferromagnetic legs
• Phase diagram of S=1/2 two-leg XXZ spin ladder systems
• Ground state and low-energy excitations of the Kitaev-Heisenberg ladder
• Magnetization process, bipartite entanglement and enhanced magnetocaloric effect of the exactly solved spin-1/2 Ising-Heisenberg tetrahedral chain
• Efficient Quantum Monte Carlo simulations of highly frustrated magnets: the frustrated spin-1/2 ladder
• Study of Low Temperature Magnetic Properties of a Single Chain Magnet With Alternate Isotropic and Non-Collinear Anisotropic Units
• Theoretical analysis of the experiments on the double-spin-chain compound -- KCuCl${}_3$
• Quantum phase transitions in the exactly solved spin-1/2 Heisenberg-Ising ladder
• Breakdown of intermediate one-half magnetization plateau of spin-1/2 Ising-Heisenberg and Heisenberg branched chains at triple and Kosterlitz-Thouless critical points
• Continuous phase transition between Neel and valence bond solid phases in a J-Q-like spin ladder system
• Ground-state phase diagram of a spin-1/2 frustrated XXZ ladder
• Magnetization plateaus of spin-$\frac{1}{2}$ system on a 5/7 skewed ladder
• Magnetic properties of frustrated spin ladder
• Symmetries and entanglement in the one-dimensional spin-1/2 XXZ model
• Field-induced spin nematic Tomonaga-Luttinger liquid of the $S=1/2$ spin ladder system with the anisotropic ferromagnetic rung interaction
• Quantum phase diagram of a frustrated spin-1/2 system on a Trellis Ladder
• Ground state of a spin-1/2 Heisenberg-Ising two-leg ladder with XYZ intra-rung coupling