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Joby Joseph - One of the best experts on this subject based on the ideXlab platform.

  • generating a Hexagonal Lattice wave field with a gradient basis structure
    arXiv: Optics, 2016
    Co-Authors: Manish Kumar, Joby Joseph
    Abstract:

    We present a new, single step approach for generating a Hexagonal Lattice wave-field with a gradient local basis structure. We incorporate this by coherently superposing two (or more) Hexagonal Lattice wave-fields which differ in their basis structures. The basis of the resultant Lattice wave-field is highly dependent on the relative strengths of constituent wave-fields and a desired spatial modulation of basis structure is thus obtained by controlling the spatial modulation of relative strengths of constituent wave-fields. The experimental realization of gradient Lattice is achieved by using a phase only spatial light modulator (SLM) in an optical 4f Fourier filter setup where the SLM is displayed with numerically calculated gradient phase mask. The presented method is wavelength independent and is completely scalable making it very promising for micro-fabrication of corresponding structures.

  • Generating a Hexagonal Lattice wave field with a gradient basis structure.
    Optics letters, 2014
    Co-Authors: Manish Kumar, Joby Joseph
    Abstract:

    We present a new, single-step approach for generating a Hexagonal Lattice wave field with a gradient local basis structure. We incorporate this by coherently superposing two (or more) Hexagonal Lattice wave fields, which differ in their basis structures. The basis of the resultant Lattice wave field is highly dependent on the relative strengths of constituent wave fields, and a desired spatial modulation of basis structure is thus obtained by controlling the spatial modulation of relative strengths of constituent wave fields. The experimental realization of gradient Lattice is achieved by using a phase-only spatial light modulator (SLM) in an optical 4f Fourier filter setup where the SLM is displayed with a numerically calculated gradient phase mask. The presented method is wavelength independent and is completely scalable, making it promising for microfabrication of corresponding structures.

Rémy Mosseri - One of the best experts on this subject based on the ideXlab platform.

  • Phase diagram of an extended quantum dimer model on the Hexagonal Lattice
    Physical Review Letters, 2015
    Co-Authors: Thiago Schlittler, Thomas Barthel, Grégoire Misguich, Julien Vidal, Rémy Mosseri
    Abstract:

    We introduce a quantum dimer model on the Hexagonal Lattice that, in addition to the standard three-dimer kinetic and potential terms, includes a competing potential part counting dimer-free hexagons. The zero-temperature phase diagram is studied by means of quantum Monte Carlo simulations , supplemented by variational arguments. It reveals some new crystalline phases and a cascade of transitions with rapidly changing flux (tilt in the height language). We analyze perturbatively the vicinity of the Rokhsar-Kivelson point, showing that this model has the microscopic ingredients needed for the " devil's staircase " scenario [E. Fradkin et al. Phys. Rev. B 69, 224415 (2004)], and is therefore expected to produce fractal variations of the ground-state flux.

P Chandra - One of the best experts on this subject based on the ideXlab platform.

  • phase diagram of the Hexagonal Lattice quantum dimer model
    Physical Review B, 2001
    Co-Authors: Roderich Moessner, S L Sondhi, P Chandra
    Abstract:

    We discuss the phase diagram of the quantum dimer model on the Hexagonal (honeycomb) Lattice. In addition to the columnar and staggered valence-bond solids which have been discussed in previous work, we establish the existence of a plaquette valence-bond solid. The transition between the plaquette and columnar phases at v/t=-0.2{+-}0.05 is argued to be first order. We note that this model should describe valence-bond-dominated phases of frustrated Heisenberg models on the Hexagonal Lattice and discuss its relation to recent exact diagonalization work by Fouet on the J{sub 1}-J{sub 2} model on the same Lattice. Our results also shed light on the properties of the transverse field Ising antiferromagnet on the triangular Lattice and the classical Ising antiferromagnet on the stacked triangular Lattice, which are related to dimer models by duality.

Jesús Salas - One of the best experts on this subject based on the ideXlab platform.

  • phase diagram for the bisected Hexagonal Lattice five state potts antiferromagnet
    Physical Review E, 2020
    Co-Authors: Jesús Salas
    Abstract:

    In this paper we study the phase diagram of the five-state Potts antiferromagnet on the bisected-Hexagonal Lattice. This question is important since Delfino and Tartaglia recently showed that a second-order transition in a five-state Potts antiferromagnet is allowed, and the bisected-Hexagonal Lattice had emerged as a candidate for such a transition on numerical grounds. By using high-precision Monte Carlo simulations and two complementary analysis methods, we conclude that there is a finite-temperature first-order transition point. This one separates a paramagnetic high-temperature phase, and a low-temperature phase where five phases coexist. This phase transition is very weak in the sense that its latent heat (per edge) is two orders of magnitude smaller than that of other well-known weak first-order phase transitions.

  • The 3-state Potts antiferromagnet on the Hexagonal Lattice
    Journal of Physics A: Mathematical and General, 1998
    Co-Authors: Jesús Salas
    Abstract:

    We study the 3-state Hexagonal-Lattice Potts antiferromagnet by a Monte Carlo simulation using the Wang-Swendsen-Kotecký cluster algorithm. We study the staggered susceptibility and the correlation length, and we confirm that this model is disordered at all temperatures . We also measure the ground-state entropy density.

Manish Kumar - One of the best experts on this subject based on the ideXlab platform.

  • generating a Hexagonal Lattice wave field with a gradient basis structure
    arXiv: Optics, 2016
    Co-Authors: Manish Kumar, Joby Joseph
    Abstract:

    We present a new, single step approach for generating a Hexagonal Lattice wave-field with a gradient local basis structure. We incorporate this by coherently superposing two (or more) Hexagonal Lattice wave-fields which differ in their basis structures. The basis of the resultant Lattice wave-field is highly dependent on the relative strengths of constituent wave-fields and a desired spatial modulation of basis structure is thus obtained by controlling the spatial modulation of relative strengths of constituent wave-fields. The experimental realization of gradient Lattice is achieved by using a phase only spatial light modulator (SLM) in an optical 4f Fourier filter setup where the SLM is displayed with numerically calculated gradient phase mask. The presented method is wavelength independent and is completely scalable making it very promising for micro-fabrication of corresponding structures.

  • Generating a Hexagonal Lattice wave field with a gradient basis structure.
    Optics letters, 2014
    Co-Authors: Manish Kumar, Joby Joseph
    Abstract:

    We present a new, single-step approach for generating a Hexagonal Lattice wave field with a gradient local basis structure. We incorporate this by coherently superposing two (or more) Hexagonal Lattice wave fields, which differ in their basis structures. The basis of the resultant Lattice wave field is highly dependent on the relative strengths of constituent wave fields, and a desired spatial modulation of basis structure is thus obtained by controlling the spatial modulation of relative strengths of constituent wave fields. The experimental realization of gradient Lattice is achieved by using a phase-only spatial light modulator (SLM) in an optical 4f Fourier filter setup where the SLM is displayed with a numerically calculated gradient phase mask. The presented method is wavelength independent and is completely scalable, making it promising for microfabrication of corresponding structures.