Left-left-right-right magnetic order in spin-1/2 Kitaev-Heisenberg chain

Abstract

In this work, we perform a combination of analytical and numerical studies on the phase diagram of the spin-1/2 Kitaev-Heisenberg chain in the region of negative Kitaev and positive Heisenberg couplings. Apart from the antiferromagnetic phase, we find a magnetically ordered phase with left-left-right-right order and a gapless phase with central charge value $c=1$, resolving the existing contradictory results in literature regarding this parameter region. In particular, the origin of the left-left-right-right order is clarified based on a perturbative Luttinger liquid analysis. The left-left-right-right phase is further shown to persist in the Kitaev-Heisenberg-Gamma model when a small nonzero Gamma interaction is introduced. Using a coupled-chain method, we also demonstrate that the one-dimensional (1D) left-left-right-right order gives a quasi-1D explanation for the 2D stripy order of the same model on the honeycomb lattice.

25 pages, 12 figures

References in corpus (24)

• Non-Abelian Anyons and Topological Quantum Computation
• The density-matrix renormalization group in the age of matrix product states
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• The ITensor Software Library for Tensor Network Calculations
• Models and Materials for Generalized Kitaev Magnetism
• On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3
• Hidden symmetries of the extended Kitaev-Heisenberg model: Implications for honeycomb lattice iridates A2IrO3
• Order-by-disorder and spin-orbital liquids in a distorted Heisenberg-Kitaev model
• The Heart of Entanglement: Chiral, Nematic, and Incommensurate Phases in the Kitaev-Gamma Ladder in a Field
• Ground state and low-energy excitations of the Kitaev-Heisenberg ladder
• Unveiling the phase diagram of a bond-alternating spin-$\frac{1}{2}$ $K$-$\Gamma$ chain
• Characterizing quantum criticality and steered coherence in the XY-Gamma chain
• Unusual excitations and double-peak specific heat in a bond-alternating spin-$1$ $K$-$\Gamma$ chain
• Engineering One-Dimensional Quantum Stripes from Superlattices of Two-Dimensional Layered Materials
• Lifshitz phase transitions in one-dimensional Gamma model
• Quantum phase transitions in the spin-1 Kitaev-Heisenberg chain
• Spin dynamics of the generalized quantum spin compass chain
• Field Induced Chiral Soliton Phase in the Kitaev Spin Chain
• Symmetry analysis of bond-alternating Kitaev spin chains and ladders
• Spin wave theory of one-dimensional generalized Kitaev model
• Origin of nonsymmorphic bosonization formulas in generalized antiferromagnetic Kitaev spin-$\frac{1}{2}$ chains from a renormalization-group perspective
• Nonsymmorphic bosonization in one-dimensional generalized Kitaev spin-1/2 models
• Emergent SU(2)${}_1$ conformal symmetry in the spin-1/2 Kitaev-Gamma chain with a Dzyaloshinskii-Moriya interaction
• Nonsymmorphic spin-space cubic groups and SU(2)${}_1$ conformal invariance in one-dimensional spin-1/2 models

Cited by in corpus (1)

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