Magnon dispersion and single hole motion in 2D frustrated antiferromagnets with four-sublattice structures

Kar, Satyaki

doi:10.1016/j.jmmm.2015.06.015

Cited by 2 publications

(3 citation statements)

References 42 publications

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“…Solving for the coefficient matrix U (see Ref. 27), we can also obtain the spin deviation given as =…”

Section: Appendix A: Details Of Swt (1) Amentioning

confidence: 99%

“…27), we can also obtain the spin deviation given as = On the other hand, if we want to do the spin wave analysis for large h values we rather consider the ferromagnetic spin orientations along the field direction x to be the quantization axis and take that ferromagnetic state (with no sublattice division) to be the spin reference state. A π/2 rotation about the y axis moves the z axis to the field direction and that becomes the z axis in the transformed coordinates.…”

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Magnons in a two-dimensional transverse-field XXZ model

2017

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The XXZ model on a square lattice in the presence of a transverse magnetic field is studied within the spin wave theory to investigate the resulting canted antiferromagnet. The small and large field regimes are probed separately both for easy-axis and easy-plane scenarios which reveal an unentangled factorized ground state at an intermediate value of the field. Goldstone modes are obtained for the field-free XY antiferromagnet as well as for the isotropic antiferromagnet with field up to its saturation value. Moreover, for an easy-plane anisotropy, we find that there exists a non-zero field, where magnon degeneracy appears as a result of restoration of an U(1) sublattice symmetry and that, across that field, there occurs a magnon band crossing. For completeness, we then obtain the system phase diagram for S = 1/2 via large scale quantum Monte Carlo simulations using the stochastic series expansion technique. Our numerical method is based on a quantization of spin along the direction of the applied magnetic field and does not suffer from a sign-problem, unlike comparable algorithms based on a spin quantization along the axis of anisotropy. With this formalism, we are also able to obtain powder averages of the transverse and longitudinal magnetizations, which may be useful for understanding experimental measurements on polycrystalline samples.

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“…Solving for the coefficient matrix U (see Ref. 27), we can also obtain the spin deviation given as =…”

Section: Appendix A: Details Of Swt (1) Amentioning

confidence: 99%

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confidence: 99%

Magnons in a two-dimensional transverse-field XXZ model

2017

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“…we first analyze the case for θ x = θ y = θ = π. In this case there will be in fact a 4-sublattice structure [28] and one can obtain the dispersions by Fourier transformation and diagonalization of the 4 × 4 matrix H k given by nonzero elements…”

Section: D Modelmentioning

confidence: 99%

Edge state behavior in a Su–Schrieffer–Heeger like model with periodically modulated hopping

Kar

2023

J. Phys.: Condens. Matter

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Su-Schrieffer-Heeger (SSH) model is one of the simplest models to show topological end/edgestates and the existence of Majorana fermions. Here we consider a SSH like model both in oneand two dimensions where a nearest neighbor hopping features spatially periodic modulations. Inthe 1D chain, we witness appearance of new in-gap end states apart from a pair of Majorana zeromodes (MZM) when the hopping periodicity go beyond two lattice spacings. The pair of MZMs, thatappear in the topological regime, characterize the end modes each existing in either end of the chain.These, however, crossover to both-end end modes for small hopping modulation strength in a finitechain. Contrarily in a 2D SSH model with symmetric hopping that we consider, both non-zero andzero energy topological states appear in a finite square lattice even with a simple staggered hopping,though the zero energy modes disappear in a ribbon configuration. Apart from edge modes, the 2Dsystem also features corner modes as well as modes with satellite peaks distributed non-randomlywithin the lattice. In both the dimensions, an increase in the periodicity of hopping modulationcauses the zero energy Majorana modes to become available for either sign of the modulation. Butinterestingly with different periodicity for hopping modulations in the two directions, the zero energymodes in a 2D model become rarer and does not appear for all strength and sign of the modulation.

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Magnon dispersion and single hole motion in 2D frustrated antiferromagnets with four-sublattice structures

Cited by 2 publications

References 42 publications

Magnons in a two-dimensional transverse-field XXZ model

Magnons in a two-dimensional transverse-field XXZ model

Edge state behavior in a Su–Schrieffer–Heeger like model with periodically modulated hopping

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