Spin-1/2 XX chains with modulated Gamma interaction

Abstract

We study the spin-1/2 XX chain with a modulated Gamma interaction (GI), which results from the superposition of uniform and staggered Gamma terms. We diagonalize the Hamiltonian of the model exactly using the Fermionization technique. We then probe the energy gap and identify the gapped and gapless regions. We also examine the staggered chiral, staggered nematic and dimer order parameters to determine the different phases of the ground state phase diagram with their respective long-range orders. Our findings indicate that the model undergoes first-order, second-order, gapless-gapless, and gapped-gapped phase transitions.

17 pages, 5 figures

References in corpus (19)

• Anyons in an exactly solved model and beyond
• Generic spin model for the honeycomb iridates beyond the Kitaev limit
• Observation of a One-Dimensional Spin-Orbit Gap in a Quantum Wire
• Magnetization processes of zigzag states on the honeycomb lattice: Identifying spin models for $\alpha$-RuCl${}_3$ and Na${}_2$IrO${}_3$
• Ground-state phase diagram of a spin-1/2 frustrated ferromagnetic XXZ chain: Haldane dimer phase and gapped/gapless chiral phases
• The absence of finite-temperature phase transitions in low-dimensional many-body models: a survey and new results
• Quantum Error Correcting Codes in Eigenstates of Translation-Invariant Spin Chains
• Magnetic ground state of the Kitaev Na${}_2$Co${}_2$TeO${}_6$ spin liquid candidate
• Unveiling the phase diagram of a bond-alternating spin-$\frac{1}{2}$ $K$-$\Gamma$ chain
• Quantum coherence and spin nematic to nematic quantum phase transitions in biquadratic spin-1 and -2 XY chains with rhombic single-ion anisotropy
• Characterizing quantum criticality and steered coherence in the XY-Gamma chain
• Classical spin order near antiferromagnetic Kitaev point in the spin-1/2 Kitaev-Gamma chain
• The gap exponent of XXZ model in a transverse field
• Long-range spin chirality dimer order in the Heisenberg chain with modulated Dzyaloshinskii-Moriya interactions
• Spin interaction and magnetism in cobaltate Kitaev candidate materials: an $ab$ $initio$ and model Hamiltonian approach
• Scaling behavior of the energy gap of spin-1/2 AF-Heisenberg chain in both uniform and staggered fields
• Fermionic versus bosonic descriptions of one-dimensional spin-gapped antiferromagnets
• Magnetic phase diagram of a spin-1/2 XXZ chain with modulated Dzyaloshinskii-Moriya interaction
• Information propagation in one-dimensional XY-$\Gamma$ chains

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