Heart of Entanglement: Chiral, Nematic, and Incommensurate Phases in the Kitaev-Gamma Ladder in a Field

Sørensen, Erik S.; Catuneanu, Andrei; Gordon, Jacob; Kee, Hae‐Young

doi:10.1103/physrevx.11.011013

Cited by 39 publications

(30 citation statements)

References 75 publications

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“…In the regime of strong intercell Kitaev interactions in the chain direction, we find a collinear magnetic phase analogous to the stripe phase of the Kitaev-Heisenberg model on the triangular lattice [37][38][39][40][41]. Thus, our work also fits in the context of recent studies of quasi-1D extended Kitaev models aimed at offering insight into twodimensional phases [42][43][44][45][46]. We demonstrate the continuous transition between the CSS and the collinear magnetic phase using a combination of solvable effective Hamiltonians, bosonization of the low-energy theory, and numerical density matrix renormalization group (DMRG) simulations [47,48].…”

Section: Introductionsupporting

confidence: 79%

“…where e 0 is the ground-state energy per site. In d dimensions, the energy susceptibility diverges at the critical point as a power law with exponent α = (2/ν) − (d + z), where ν and z are the correlation and the dynamical critical exponents [45,67]. In Fig.…”

Section: Numerical Resultsmentioning

confidence: 97%

“…The latter was proposed in Ref. [45] as a sensitive measure to detect phase transitions. Altogether, we found excellent agreement among the estimates obtained from these distinct procedures.…”

Section: Numerical Resultsmentioning

confidence: 99%

See 2 more Smart Citations

Continuous phase transition from a chiral spin state to collinear magnetic order in a zigzag chain with Kitaev interactions

Macedo,

Ramos,

Pereira

2022

Preprint

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Quantum spin systems can break time reversal symmetry by developing spontaneous magnetization or spin chirality. However, collinear magnets and chiral spin states are invariant under different symmetries, implying that the order parameter of one phase vanishes in the other. We show how to construct one-dimensional anisotropic spin models that exhibit a "Landau-forbidden" continuous phase transition between such states. As a concrete example, we focus on a zigzag chain with bonddependent exchange and six-spin interactions. Using a combination of exact solutions, effective field theories, and numerical simulations, we show that the transition between the chiral and magnetic phases has an emergent U(1) symmetry. The excitations governing the transition from the chiral phase can be pictured as mobile defects in a Z2 flux configuration which bind fermionic modes. We briefly discuss extensions to two dimensions and analogies with deconfined quantum criticality. Our results suggest new prospects for unconventional phase transitions involving chiral spin states.

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Section: Introductionsupporting

confidence: 79%

Section: Numerical Resultsmentioning

confidence: 97%

See 1 more Smart Citation

Continuous phase transition from a chiral spin state to collinear magnetic order in a zigzag chain with Kitaev interactions

Macedo,

Ramos,

Pereira

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Therefore, investigations in reduced dimensionality, i.e., in one-dimensional (1D) systems, can be useful and valuable to better understand the 2D physics, since there are more controllable theoretical tools in 1D [34][35][36][37][38][39][40][41][42] . Recently, there has been a series of theoretical works on the phase diagrams of quasi-1D generalized Kitaev models [43][44][45][46][47][48][49][50][51][52][53] . A plethora of interesting phases has been found, including emergent conformal invariance, Luttinger liquid phases, magnetically ordered phases, nonlocal string orders, and spin liquids.…”

Section: Introductionmentioning

confidence: 99%

Symmetry analysis of bond-alternating Kitaev spin chains and ladders

Yang,

Nocera,

Herringer

et al. 2022

Preprint

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In this work, we analyze the nonsymmorphic symmetry group structures for a variety of quasione-dimensional generalized Kitaev spin models with bond alternations, including Kitaev-Gamma chain, Kitaev-Heisenberg-Gamma chain, beyond nearest neighbor interactions, and two-leg spin ladders. The symmetry analysis is applied to determine the symmetry breaking patterns of several magnetically ordered phases in the bond-alternating Kitaev-Gamma spin chains, as well as the dimerization order parameters for spontaneous dimerizations. Our work is useful in understanding the magnetic phases in related models and may provide guidance for the symmetry classifications of mean field solutions in further investigations.

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“…Notwithstanding the bidimensionality of real materials, quantum spin chains also play vital roles in understanding peculiar quantum phenomena in two dimensions as they promote strong quantum fluctuations [19][20][21][22][23][24][25]. Over the past few decades, quantum spin chains have attracted broad attention for their abilities to host unconventional quantum criticality [26,27] and topological phases [28,29].…”

Section: Introductionmentioning

confidence: 99%

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

Luo,

Hu,

Kee

2021

Preprint

Self Cite

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The one-dimensional gapped phases that avoid any symmetry breaking have drawn enduring attention. In this work, we study such phases in a bond-alternating spin-1 K-Γ chain built of a Kitaev (K) interaction and an off-diagonal Γ 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 Z2-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 double-peak structure in the specific heat at two different temperatures. In the pure Kitaev limit, the two peaks are representative of developing of short-range spin correlation at T h 0.5680 and freezing of Z2 quantities at T l 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.

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Heart of Entanglement: Chiral, Nematic, and Incommensurate Phases in the Kitaev-Gamma Ladder in a Field

Cited by 39 publications

References 75 publications

Continuous phase transition from a chiral spin state to collinear magnetic order in a zigzag chain with Kitaev interactions

Continuous phase transition from a chiral spin state to collinear magnetic order in a zigzag chain with Kitaev interactions

Symmetry analysis of bond-alternating Kitaev spin chains and ladders

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

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