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Xuefeng Zhang 张学锋 - One of the best experts on this subject based on the ideXlab platform.

  • quantum phase transition of the bose hubbard model with anisotropic hopping on a Cubic Lattice
    Physical Review B, 2020
    Co-Authors: Tao Wang 汪涛, Xuefeng Zhang 张学锋
    Abstract:

    In a quantum many-body system, dimensionality plays a critical role in determining the type of quantum phase transition. To study the quantum system during dimensional crossover, we studied the Bose-Hubbard model on a Cubic Lattice with anisotropic hopping by using the high-order symbolic strong-coupling expansion method. The analytic series expanded boundaries between the Mott insulator and the superfluid phase up to eighth order are calculated. The critical exponents are extracted by the Pad\'e resummation method, which clearly shows dimensional crossover behavior. Meanwhile, the critical points at commensurate filling can also be obtained, and they match well with the prediction of renormalization group theory. Finally, the scaling of the gap energy and the whole phase diagram are given, and they can be taken as the benchmark for experiment and numerical simulations in future study.

Xuefeng Zhang - One of the best experts on this subject based on the ideXlab platform.

  • quantum phase transition of the bose hubbard model on Cubic Lattice with anisotropic hopping
    Physical Review B, 2020
    Co-Authors: Tao Wang, Xuefeng Zhang
    Abstract:

    In quantum many-body system, dimensionality plays a critical role on type of the quantum phase transition. In order to study the quantum system during dimensional crossover, we studied the Bose-Hubbard model on Cubic Lattice with anisotropic hopping by using the high order symbolic strong coupling expansion method. The analytic series expanded boundaries between the Mott-insulator and superfluid phase up to eighth order are calculated. The critical exponents are extracted by Pade re-summation method, which clearly shows the dimensional crossover behavior. Meanwhile, the critical points at commensurate filling can also be obtained, and they match well with the prediction of renormalization group theory. The scaling of the gap energy and whole phase diagram are given at last, and they can be taken as the benchmark for experiment and numerical simulations in the future study.

Yasir Iqbal - One of the best experts on this subject based on the ideXlab platform.

  • quantum paramagnetism and helimagnetic orders in the heisenberg model on the body centered Cubic Lattice
    Physical Review B, 2019
    Co-Authors: Pratyay Ghosh, Tobias Muller, Francesco Parisen Toldin, J Richter, Rajesh Narayanan, Ronny Thomale, Johannes Reuther, Yasir Iqbal
    Abstract:

    We investigate the spin $S=1/2$ Heisenberg model on the body centered Cubic Lattice in the presence of ferromagnetic and antiferromagnetic nearest-neighbor $J_{1}$, second-neighbor $J_{2}$, and third-neighbor $J_{3}$ exchange interactions. The classical ground state phase diagram obtained by a Luttinger-Tisza analysis is shown to host six different (noncollinear) helimagnetic orders in addition to ferromagnetic, N\'eel, stripe and planar antiferromagnetic orders. Employing the pseudofermion functional renormalization group (PFFRG) method for quantum spins ($S=1/2$) we find an extended nonmagnetic region, and significant shifts to the classical phase boundaries and helimagnetic pitch vectors caused by quantum fluctuations while no new long-range dipolar magnetic orders are stabilized. The nonmagnetic phase is found to disappear for $S=1$. We calculate the magnetic ordering temperatures from PFFRG and quantum Monte Carlo methods, and make comparisons to available data

  • quantum paramagnetism and helimagnetic orders in the heisenberg model on the body centered Cubic Lattice
    Physical Review, 2019
    Co-Authors: Pratyay Ghosh, Tobias Muller, Francesco Parisen Toldin, J Richter, Rajesh Narayanan, Ronny Thomale, Johannes Reuther, Yasir Iqbal
    Abstract:

    It is a well-known fact that with increasing spatial dimensionality magnetic systems have a progressively higher tendency towards developing long-range magnetic order. Here, the authors investigate whether frustration could potentially counter this trend already in three dimensions. To this end, they investigate interacting spins on the body centered Cubic Lattice using a state-of-the-art functional renormalization group framework. The results indicate that strong frustration effects do lead to melting of the magnetic orders and have the potential to stabilize quantum spin liquid phases.

Jörg Peters - One of the best experts on this subject based on the ideXlab platform.

  • Box Spline Reconstruction On The Face-Centered Cubic Lattice
    IEEE Transactions on Visualization and Computer Graphics, 2008
    Co-Authors: Jörg Peters
    Abstract:

    We introduce and analyze an efficient reconstruction algorithm for FCC-sampled data. The reconstruction is based on the 6-direction box spline that is naturally associated with the FCC Lattice and shares the continuity and approximation order of the triquadratic B-spline. We observe less aliasing for generic level sets and derive special techniques to attain the higher evaluation efficiency promised by the lower degree and smaller stencil-size of the C1 6-direction box spline over the triquadratic B-spline.

Jose Santos - One of the best experts on this subject based on the ideXlab platform.