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• W1978440023 abstract "The coupled cluster method (CCM) is used to study the zero-temperature properties of a frustrated spin-half ($s=frac{1}{2}$) ${J}_{1}$--${J}_{2}$ Heisenberg antiferromagnet (HAF) on a two-dimensional (2D) chevron-square lattice. On an underlying square lattice, each site of the model has four nearest-neighbor exchange bonds of strength ${J}_{1}>0$ and two frustrating next-nearest-neighbor (diagonal) bonds of strength ${J}_{2}ensuremath{equiv}ensuremath{kappa}{J}_{1}>0$, such that each fundamental square plaquette has only one diagonal bond. The diagonal ${J}_{2}$ bonds are arranged in a chevron pattern such that along one of the two basic square axis directions (say, along rows), the ${J}_{2}$ bonds are parallel, while along the perpendicular axis direction (say, along columns), alternate ${J}_{2}$ bonds are perpendicular to each other, and hence form one-dimensional (1D) chevron chains in this direction. The model thus interpolates smoothly between 2D HAFs on the square ($ensuremath{kappa}=0$) and triangular ($ensuremath{kappa}=1$) lattices, and also extrapolates to disconnected 1D HAF chains ($ensuremath{kappa}ensuremath{rightarrow}ensuremath{infty}$). The classical ($sensuremath{rightarrow}ensuremath{infty}$) version of the model has collinear N'eel order for $0<ensuremath{kappa}<{ensuremath{kappa}}_{mathrm{cl}}$ and a form of noncollinear spiral order for ${ensuremath{kappa}}_{mathrm{cl}}<ensuremath{kappa}<ensuremath{infty}$, where ${ensuremath{kappa}}_{mathrm{cl}}=frac{1}{2}$. For the $s=frac{1}{2}$ model, we use both these classical states, as well as other collinear states not realized as classical ground-state (GS) phases, as CCM reference states, on top of which the multispin-flip configurations resulting from quantum fluctuations are incorporated in a systematic truncation hierarchy, which we carry out to high orders and then extrapolate to the physical limit. At each order we calculate the GS energy, GS magnetic order parameter, and the susceptibilities of the states to various forms of valence-bond crystalline (VBC) order, including plaquette and two different dimer forms. We find strong evidence that the $s=frac{1}{2}$ model has two quantum critical points, at ${ensuremath{kappa}}_{{c}_{1}}ensuremath{approx}0.72(1)$ and ${ensuremath{kappa}}_{{c}_{2}}ensuremath{approx}1.5(1)$, such that the system has N'eel order for $0<ensuremath{kappa}<{ensuremath{kappa}}_{{c}_{1}}$, a form of spiral order for ${ensuremath{kappa}}_{{c}_{1}}<ensuremath{kappa}<{ensuremath{kappa}}_{{c}_{2}}$ that includes the correct three-sublattice ${120}^{ensuremath{circ}}$ spin ordering for the triangular-lattice HAF at $ensuremath{kappa}=1$, and parallel-dimer VBC order for ${ensuremath{kappa}}_{{c}_{2}}<ensuremath{kappa}<ensuremath{infty}$." @default.
• W1978440023 created "2016-06-24" @default.
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• W1978440023 date "2013-10-25" @default.
• W1978440023 modified "2023-10-18" @default.
• W1978440023 title "Frustrated spin-<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:math>Heisenberg antiferromagnet on a chevron-square lattice" @default.
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• W1978440023 doi "https://doi.org/10.1103/physrevb.88.144423" @default.
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