Symplectic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi></mml:math>and time reversal in frustrated magnetism

Flint, Rebecca; Coleman, Piers

doi:10.1103/physrevb.79.014424

Cited by 69 publications

(102 citation statements)

References 59 publications

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“…Given this difficulty, in the next section, we resort to the Schwinger boson theory, which is reliable for the study of 2D systems. 20,[22][23][24] …”

Section: Density-matrix Renormalization Groupmentioning

confidence: 99%

One dimensionalization in the spin-1 Heisenberg model on the anisotropic triangular lattice

et al. 2017

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We investigate the effect of dimensional crossover in the ground state of the antiferromagnetic spin-1 Heisenberg model on the anisotropic triangular lattice that interpolates between the regime of weakly coupled Haldane chains (J J) and the isotropic triangular lattice (J = J). We use the density-matrix renormalization group (DMRG) and Schwinger boson theory performed at the Gaussian correction level above the saddle-point solution. Our DMRG results show an abrupt transition between decoupled spin chains and the spirally ordered regime at (J /J)c ∼ 0.42, signaled by the sudden closing of the spin gap. Coming from the magnetically ordered side, the computation of the spin stiffness within Schwinger boson theory predicts the instability of the spiral magnetic order toward a magnetically disordered phase with one-dimensional features at (J /J)c ∼ 0.43. The agreement of these complementary methods, along with the strong difference found between the intra-and the interchain DMRG short spin-spin correlations; for sufficiently large values of the interchain coupling, suggests that the interplay between the quantum fluctuations and the dimensional crossover effects gives rise to the one-dimensionalization phenomenon in this frustrated spin-1 Hamiltonian.

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“…Given this difficulty, in the next section, we resort to the Schwinger boson theory, which is reliable for the study of 2D systems. 20,[22][23][24] …”

Section: Density-matrix Renormalization Groupmentioning

confidence: 99%

One dimensionalization in the spin-1 Heisenberg model on the anisotropic triangular lattice

et al. 2017

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“…While theoretical studies exist on the order-from-disorder phenomenon and phase diagram of the J 1 − J 2 model 28,29 , the spin dynamics in the paramagnetic phase of the model in the (π, 0) collinear regime has not yet been systematically studied. We carry out the calculations using a modified spin wave theory 30 , which incorporates the 1/S corrections that are important for capturing the order-from-disorder phenomenon and the associated dynamical properties.…”

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confidence: 99%

Spin dynamics of aJ1−J2antiferromagnet and its implications for iron pnictides

Goswami

et al. 2011

Phys. Rev. B

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Motivated by the recent observation of antiferromagnetic correlations in the paramagnetic phase of iron pnictides, we study the finite temperature spin dynamics of a two dimensional J1 − J2 antiferromagnet. We consider the paramagnetic phase in the regime of a (π, 0) collinear ground state, using the modified spin wave theory. Below the mean field Ising transition temperature, we identify short-range anisotropic antiferromagnetic correlations. We show that the dynamical structure factor S(q, ω) contains elliptic features in the momentum space, and determine its variation with temperature and energy. Implications for the spin-dynamical experiments in the iron pnictides are discussed.

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“…The symplectic group SP (N ) offers many advantages for condensed matter physics, allowing for a consistent extension of the notion of time reversal symmetry to the large-N limit, which permits one to form singlet pairs of particles that are absent in the SU (N ) generalization 40,41 . This capability is vital to describe antiferromagnetism and superconductivity.…”

Section: B Large-n Approachmentioning

confidence: 99%

“…However, in this paper we seek to extend the supersymmetric description of spins to the symplectic subgroup SP (N ) of SU (N ) [39][40][41] :…”

Section: B Large-n Approachmentioning

confidence: 99%

Supersymmetric approach to heavy fermion systems

Ramires

Coleman

2016

Phys. Rev. B

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We propose a generalization of the supersymmetric representation of spins with symplectic symmetry, generalizing the rotation group of the spin from SU (2) to SP (N ). As a test application of this new representation, we consider two toy models involving a competition of the Kondo effect and antiferromagnetism: a two-impurity model and a frustrated three-impurity model. Exploring an ensemble of L-shaped representations with a fixed number of boxes in their respective Young tableaux, we allow the system to choose which representation is energetically more favorable in each region in parameter space. We discuss how the features of these preliminary applications can generalize to Kondo lattice models.

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SymplecticNand time reversal in frustrated magnetism

Cited by 69 publications

References 59 publications

One dimensionalization in the spin-1 Heisenberg model on the anisotropic triangular lattice

One dimensionalization in the spin-1 Heisenberg model on the anisotropic triangular lattice

Spin dynamics of aJ1−J2antiferromagnet and its implications for iron pnictides

Supersymmetric approach to heavy fermion systems

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