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

  • Z 2 topological quantum Paramagnet on a honeycomb bilayer
    Physical Review B, 2019
    Co-Authors: Darshan G. Joshi, Andreas P. Schnyder
    Abstract:

    Topological quantum Paramagnets are exotic states of matter, whose magnetic excitations have a topological band structure, while the ground state is topologically trivial. Here we show that a simple model of quantum spins on a honeycomb bilayer hosts a time-reversal-symmetry protected ${\mathbb{Z}}_{2}$ topological quantum Paramagnet (topological triplon insulator) in the presence of spin-orbit coupling. The excitation spectrum of this quantum Paramagnet consists of three triplon bands, two of which carry a nontrivial ${\mathbb{Z}}_{2}$ index. As a consequence, there appear two counterpropagating triplon excitation modes at the edge of the system. We compute the triplon edge state spectrum and the ${\mathbb{Z}}_{2}$ index for various parameter choices. We further show that upon making one of the Heisenberg couplings stronger, the system undergoes a topological quantum phase transition, where the ${\mathbb{Z}}_{2}$ index vanishes, to a different topological quantum Paramagnet. In this case the counterpopagating triplon edge modes are disconnected from the bulk excitations and are protected by a chiral and a unitary symmetry. We discuss possible realizations of our model in real materials, in particular ${d}^{4}$ Mott insulators, and their potential applications.

  • $\mathbbm{Z}_{2}$ topological quantum Paramagnet on a honeycomb bilayer
    arXiv: Strongly Correlated Electrons, 2018
    Co-Authors: Darshan G. Joshi, Andreas P. Schnyder
    Abstract:

    Topological quantum Paramagnets are exotic states of matter, whose magnetic excitations have a topological band structure, while the ground state is topologically trivial. Here we show that a simple model of quantum spins on a honeycomb bilayer hosts a $\mathbbm{Z}_2$ topological quantum Paramagnet ({\em topological triplon insulator}) in the presence of spin-orbit coupling. The excitation spectrum of this quantum Paramagnet consists of three triplon bands, two of which carry a nontrivial $\mathbbm{Z}_2$ index. As a consequence, there appear two counterpropagating triplon excitation modes at the edge of the system. We compute the triplon edge state spectrum and the $\mathbbm{Z}_2$ index for various parameter choices. We further show that upon making one of the Heisenberg couplings stronger, the system undergoes a topological quantum phase transition, where the $\mathbbm{Z}_2$ index vanishes, to a different topological quantum Paramagnet. In this case the counterpopagating triplon edge modes are disconnected from the bulk excitations and are protected by a chiral and a unitary symmetry. %the phase is characterized by a different topological invariant. We discuss possible realizations of our model in real materials, in particular d$^{4}$ Mott insulators, and their potential applications.

  • mathbbm z _ 2 topological quantum Paramagnet on a honeycomb bilayer
    Physical Review B, 2018
    Co-Authors: Darshan G. Joshi, Andreas P. Schnyder
    Abstract:

    Topological quantum Paramagnets are exotic states of matter, whose magnetic excitations have a topological band structure, while the ground state is topologically trivial. Here we show that a simple model of quantum spins on a honeycomb bilayer hosts a $\mathbbm{Z}_2$ topological quantum Paramagnet ({\em topological triplon insulator}) in the presence of spin-orbit coupling. The excitation spectrum of this quantum Paramagnet consists of three triplon bands, two of which carry a nontrivial $\mathbbm{Z}_2$ index. As a consequence, there appear two counterpropagating triplon excitation modes at the edge of the system. We compute the triplon edge state spectrum and the $\mathbbm{Z}_2$ index for various parameter choices. We further show that upon making one of the Heisenberg couplings stronger, the system undergoes a topological quantum phase transition, where the $\mathbbm{Z}_2$ index vanishes, to a different topological quantum Paramagnet. In this case the counterpopagating triplon edge modes are disconnected from the bulk excitations and are protected by a chiral and a unitary symmetry. %the phase is characterized by a different topological invariant. We discuss possible realizations of our model in real materials, in particular d$^{4}$ Mott insulators, and their potential applications.

Gang Chen - One of the best experts on this subject based on the ideXlab platform.

  • featureless quantum Paramagnet with frustrated criticality and competing spiral magnetism on spin 1 honeycomb lattice magnet
    Physical Review Research, 2020
    Co-Authors: Jian Qiao Liu, Gang Chen, Ziqiang Wang
    Abstract:

    This work study a spin-1 honeycomb lattice magnets with frustrated change interactions. The authors show the phase diagram of the model and emphasize the effects of magnetic frustration on magnetic excitations of featureless quantum Paramagnet.

  • featureless quantum Paramagnet with frustrated criticality and competing spiral magnetism on spin 1 honeycomb lattice magnet
    arXiv: Strongly Correlated Electrons, 2020
    Co-Authors: Jian Qiao Liu, Gang Chen, Ziqiang Wang
    Abstract:

    We study the spin-1 honeycomb lattice magnets with frustrated exchange interactions. The proposed microscopic spin model contains first and second neighbor Heisenberg interactions as well as the single-ion anisotropy. We establish a rich phase diagram that includes a featureless quantum Paramagnet and various spin spiral states induced by the mechanism of order by quantum disorder. Although the quantum Paramagnet is dubbed featureless, it is shown that, the magnetic excitations develop a contour degeneracy in the reciprocal space at the band minima. These contour degenerate excitations are responsible for the frustrated criticality from the quantum Paramagnet to the ordered phases. This work illustrates the effects of magnetic frustration on both magnetic orderings and the magnetic excitations. We discuss the experimental relevance to various Ni-based honeycomb lattice magnets.

  • quantum Paramagnet and frustrated quantum criticality in a spin one diamond lattice antiferromagnet
    Physical Review B, 2017
    Co-Authors: Gang Chen
    Abstract:

    Motivated by the very recent proposal of topological quantum Paramagnet in the diamond lattice antiferromagnet NiRh$_2$O$_4$, we propose a minimal model to describe the magnetic interaction and properties of the diamond material with the spin-one local moments. The minimal model includes the first and second neighbor Heisenberg interactions as well as a local single-ion spin anisotropy that is allowed by the spin-one nature of the local moment and the tetragonal symmetry of NiRh$_2$O$_4$ below 380K. We point out that there exists a quantum phase transition from a trivial quantum Paramagnet when the single-ion spin anisotropy is dominant to the magnetic ordered states when the exchange is dominant. Due to the frustrated spin interaction, the magnetic excitation in the quantum Paramagnetic state supports extensively degenerate band minima in the spectra. As the system approaches the transition, extensively degenerate bosonic modes become critical at the criticality, giving rise to unusual magnetic properties. Our phase diagram and experimental predictions for different phases provide a guildline for the identification of the ground state for NiRh$_2$O$_4$. Although our results are fundamentally different from the proposal of topological quantum Paramagnet for NiRh$_2$O$_4$, it represents interesting possibilities for spin-one diamond lattice antiferromagnets.

Tagirov M. - One of the best experts on this subject based on the ideXlab platform.

Darshan G. Joshi - One of the best experts on this subject based on the ideXlab platform.

  • Z 2 topological quantum Paramagnet on a honeycomb bilayer
    Physical Review B, 2019
    Co-Authors: Darshan G. Joshi, Andreas P. Schnyder
    Abstract:

    Topological quantum Paramagnets are exotic states of matter, whose magnetic excitations have a topological band structure, while the ground state is topologically trivial. Here we show that a simple model of quantum spins on a honeycomb bilayer hosts a time-reversal-symmetry protected ${\mathbb{Z}}_{2}$ topological quantum Paramagnet (topological triplon insulator) in the presence of spin-orbit coupling. The excitation spectrum of this quantum Paramagnet consists of three triplon bands, two of which carry a nontrivial ${\mathbb{Z}}_{2}$ index. As a consequence, there appear two counterpropagating triplon excitation modes at the edge of the system. We compute the triplon edge state spectrum and the ${\mathbb{Z}}_{2}$ index for various parameter choices. We further show that upon making one of the Heisenberg couplings stronger, the system undergoes a topological quantum phase transition, where the ${\mathbb{Z}}_{2}$ index vanishes, to a different topological quantum Paramagnet. In this case the counterpopagating triplon edge modes are disconnected from the bulk excitations and are protected by a chiral and a unitary symmetry. We discuss possible realizations of our model in real materials, in particular ${d}^{4}$ Mott insulators, and their potential applications.

  • $\mathbbm{Z}_{2}$ topological quantum Paramagnet on a honeycomb bilayer
    arXiv: Strongly Correlated Electrons, 2018
    Co-Authors: Darshan G. Joshi, Andreas P. Schnyder
    Abstract:

    Topological quantum Paramagnets are exotic states of matter, whose magnetic excitations have a topological band structure, while the ground state is topologically trivial. Here we show that a simple model of quantum spins on a honeycomb bilayer hosts a $\mathbbm{Z}_2$ topological quantum Paramagnet ({\em topological triplon insulator}) in the presence of spin-orbit coupling. The excitation spectrum of this quantum Paramagnet consists of three triplon bands, two of which carry a nontrivial $\mathbbm{Z}_2$ index. As a consequence, there appear two counterpropagating triplon excitation modes at the edge of the system. We compute the triplon edge state spectrum and the $\mathbbm{Z}_2$ index for various parameter choices. We further show that upon making one of the Heisenberg couplings stronger, the system undergoes a topological quantum phase transition, where the $\mathbbm{Z}_2$ index vanishes, to a different topological quantum Paramagnet. In this case the counterpopagating triplon edge modes are disconnected from the bulk excitations and are protected by a chiral and a unitary symmetry. %the phase is characterized by a different topological invariant. We discuss possible realizations of our model in real materials, in particular d$^{4}$ Mott insulators, and their potential applications.

  • mathbbm z _ 2 topological quantum Paramagnet on a honeycomb bilayer
    Physical Review B, 2018
    Co-Authors: Darshan G. Joshi, Andreas P. Schnyder
    Abstract:

    Topological quantum Paramagnets are exotic states of matter, whose magnetic excitations have a topological band structure, while the ground state is topologically trivial. Here we show that a simple model of quantum spins on a honeycomb bilayer hosts a $\mathbbm{Z}_2$ topological quantum Paramagnet ({\em topological triplon insulator}) in the presence of spin-orbit coupling. The excitation spectrum of this quantum Paramagnet consists of three triplon bands, two of which carry a nontrivial $\mathbbm{Z}_2$ index. As a consequence, there appear two counterpropagating triplon excitation modes at the edge of the system. We compute the triplon edge state spectrum and the $\mathbbm{Z}_2$ index for various parameter choices. We further show that upon making one of the Heisenberg couplings stronger, the system undergoes a topological quantum phase transition, where the $\mathbbm{Z}_2$ index vanishes, to a different topological quantum Paramagnet. In this case the counterpopagating triplon edge modes are disconnected from the bulk excitations and are protected by a chiral and a unitary symmetry. %the phase is characterized by a different topological invariant. We discuss possible realizations of our model in real materials, in particular d$^{4}$ Mott insulators, and their potential applications.

A Schenck - One of the best experts on this subject based on the ideXlab platform.