Unusual excitations and double-peak specific heat in a bond-alternating spin-$1$ $K$-$\Gamma$ chain

Abstract

One-dimensional gapped phases that avoid any symmetry breaking have drawn enduring attention. In this paper, we study such phases in a bond-alternating spin-1 $K$-$\Gamma$ chain built of a Kitaev ($K$) interaction and an off-diagonal $\Gamma$ term. In the case of isotropic bond strength, a Haldane phase, which resembles the ground state of a spin-$1$ Heisenberg chain, is identified in a wide region. A gapped Kitaev phase situated at dominant ferromagnetic and antiferromagnetic Kitaev limits is also found. The Kitaev phase has extremely short-range spin correlations and is characterized by finite ${\mathbb{Z}}_2$-valued quantities on bonds. Its lowest entanglement spectrum is unique, in contrast to the Haldane phase whose entanglement spectrum is doubly degenerate. In addition, the Kitaev phase shows a double-peak structure in the specific heat at two different temperatures. In the pure Kitaev limit, the two peaks are representative of the development of short-range spin correlation at $T_h\simeq 0.5680$ and the freezing of ${\mathbb{Z}}_2$ quantities at $T_l\simeq 0.0562$, respectively. By considering bond anisotropy, regions of Haldane phase and Kitaev phase are enlarged, accompanied by the emergence of dimerized phases and three distinct magnetically ordered states.

arXiv comment14 pages, 13 figures. For a previous spin-1/2 analogy, see arXiv:2012.03382

References in corpus (61)

• Anyons in an exactly solved model and beyond
• The density-matrix renormalization group
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Entanglement spectrum of a topological phase in one dimension
• Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order
• Classification of Gapped Symmetric Phases in 1D Spin Systems
• Symmetry protection of topological order in one-dimensional quantum spin systems
• Kitaev quantum spin liquid - concept and materialization
• Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
• Generic spin model for the honeycomb iridates beyond the Kitaev limit
• Thermodynamics of Spin S = 1/2 Antiferromagnetic Uniform and Alternating-Exchange Heisenberg Chains
• Exact results for spin dynamics and fractionization in the Kitaev Model
• Topological characterization of quantum phase transitions in a S=1/2 spin model
• Dynamics of a two-dimensional quantum spin liquid: signatures of emergent Majorana fermions and fluxes
• Thermal fractionalization of quantum spins in a Kitaev model: $T$-linear specific heat and coherent transport of Majorana fermions
• Possible Kitaev Quantum Spin Liquid State in 2D Materials with S=3/2
• Microscopic mechanism for higher-spin Kitaev model
• Density matrix renormalisation group for a quantum spin chain at non-zero temperature
• Spin-S Kitaev model: Classical Ground States, Order by Disorder and Exact Correlation Functions
• Criticality in correlated quantum matter
• Topological excitations and the dynamic structure factor of spin liquids on the kagome lattice
• Numerical Study of the $S=1$ Antiferrromagnetic Spin Chain with Bond Alternation
• Materials design of Kitaev spin liquids beyond the Jackeli-Khaliullin mechanism
• Phase Diagram of $S=1$ Bond-Alternating XXZ chains
• Thermodynamics of quantum Heisenberg spin chains
• Ising ferromagnet to valence bond solid transition in a one-dimensional spin chain: Analogies to deconfined quantum critical points
• Classical spin liquid instability driven by off-diagonal exchange in strong spin-orbit magnets
• Floating phase versus chiral transition in a 1D hard-boson model
• Dynamic and thermodynamic properties of the generalised diamond chain model for azurite
• Ground-state and thermodynamic properties of an $S=1$ Kitaev model
• Incipient and well-developed entropy plateaus in spin-S Kitaev models
• Tensor network wavefunction of $S=1$ Kitaev spin liquids
• The Heart of Entanglement: Chiral, Nematic, and Incommensurate Phases in the Kitaev-Gamma Ladder in a Field
• Variational study of the Kitaev-Heisenberg-Gamma model
• Field-Driven Gapless Spin Liquid in the Spin-1 Kitaev Honeycomb Model
• Phase diagram of the spin-1/2 Kitaev-Gamma chain and emergent SU(2) symmetry
• Comparative density-matrix renormalization group study of symmetry-protected topological phases in spin-1 chain and Bose-Hubbard models
• Magnetic Field Induced Spin Liquids in S=1 Kitaev Honeycomb Model
• Quantum spin liquid in the semiclassical regime
• Thermodynamics of Spin-1/2 AF-AF-F and F-F-AF Trimerized Quantum Heisenberg Chains
• Characterizing spin-one Kitaev quantum spin liquids
• Unveiling the phase diagram of a bond-alternating spin-$\frac{1}{2}$ $K$-$\Gamma$ chain
• The Schottky-type specific heat as an indicator of relative degeneracy between ground and first-excited states: the case study of regular Ising polyhedra
• Ordered states in the Kitaev-Heisenberg model: From 1D chains to 2D honeycomb
• Gapless quantum spin liquid in a honeycomb $\Gamma$ magnet
• $S=1/2$ Chain-Boundary Excitations in the Haldane Phase of 1D $S=1$ Systems
• Comprehensive study of the phase diagram of the spin-1/2 Kitaev-Heisenberg-Gamma chain
• Lifshitz phase transitions in one-dimensional Gamma model
• Universal Thermodynamics in the Kitaev Fractional Liquid
• Classical spin order near antiferromagnetic Kitaev point in the spin-1/2 Kitaev-Gamma chain
• Gutzwiller Projected wavefunctions in the fermonic theory of S=1 spin chains
• Local probe of fractional edge states of S=1 Heisenberg spin chains
• Spin-1 Kitaev model in one dimension
• Further insights into the thermodynamics of the Kitaev honeycomb model
• Flux mobility delocalization in the Kitaev spin ladder
• Quantum phase transitions in the spin-1 Kitaev-Heisenberg chain
• Symmetry-protected topological phase in a one-dimensional correlated bosonic model with a synthetic spin-orbit coupling
• Thermodynamics of a gauge-frustrated Kitaev spin liquid
• Thermodynamics of a spin-1/2 XYZ Heisenberg chain with a Dzyaloshinskii-Moriya interaction
• Double-peak specific heat feature in frustrated antiferromagnetic clusters

Cited by in corpus (23)

• Beyond Kitaev physics in strong spin-orbit coupled magnets
• Characterizing quantum criticality and steered coherence in the XY-Gamma chain
• Instabilities of spin-1 Kitaev spin liquid phase in presence of single-ion anisotropies
• Insights into the Anisotropic Spin-$S$ Kitaev Chain
• Spin dynamics of the generalized quantum spin compass chain
• Symmetry analysis of bond-alternating Kitaev spin chains and ladders
• Spontaneous dimerization, spin-nematic order, and deconfined quantum critical point in a spin-1 Kitaev chain with tunable single-ion anisotropy
• Islands of Chiral Solitons in Integer Spin Kitaev Chains
• Thermally enhanced Majorana-mediated spin transport in the Kitaev model
• Origin of nonsymmorphic bosonization formulas in generalized antiferromagnetic Kitaev spin-$\frac{1}{2}$ chains from a renormalization-group perspective
• Strain-induced phase diagram of the $S=\frac{3}{2}$ Kitaev material $\mathrm{CrSiT}{\mathrm{e}}_3$
• High Chern numbers and topological flat bands in high-field polarized Kitaev magnets on the star lattice
• Chiral spin state and nematic ferromagnet in the spin-1 Kitaev-$\Gamma$ model
• Emergent SU(2)${}_1$ conformal symmetry in the spin-1/2 Kitaev-Gamma chain with a Dzyaloshinskii-Moriya interaction
• Left-left-right-right magnetic order in spin-1/2 Kitaev-Heisenberg chain
• Nonsymmorphic bosonization in one-dimensional generalized Kitaev spin-1/2 models
• Interplay of Kitaev Interaction and Off-diagonal Exchanges: Exotic Phases and Quantum Phase Diagrams
• Nonsymmorphic spin-space cubic groups and SU(2)${}_1$ conformal invariance in one-dimensional spin-1/2 models
• Quantum criticality and emergent orders in the spin-1 bilinear-biquadratic-Kitaev chain
• Assembling Kitaev honeycomb spin liquids from arrays of 1D symmetry protected topological phases
• Exact Fractionalized Ground States in an Extended Spin-1 Kitaev Chain
• Creating long-range entangled Majorana pairs: from spin-1/2 twisted Kitaev to generalized XY chains
• Thermodynamic stability and structural transitions in virus-host networks