Hard-core bosonic domain walls on a honeycomb lattice

Zhu, Xingchuan; Li, Bo; Guo, Huaiming; Feng, Shiping

doi:10.1103/physreva.101.063609

Cited by 2 publications

(1 citation statement)

References 47 publications

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“…Moreover, in the system of artificial lattices, such as the molecular graphene on the surface of metal, lots of breakthroughs have been made in recent years [147][148][149][150]. Consequently, it is also possible to induce the topological kink states and even topological superconducting states as well as superfluid states based on the flexibility of the artificial systems [151,152].…”

Section: Discussionmentioning

confidence: 99%

Topological kink states in graphene

et al. 2021

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Due to the unique band structure, graphene exhibits a number of exotic electronic properties that have not been observed in other materials. Among them, it has been demonstrated that there exist the one-dimensional valley-polarized topological kink states localized in the vicinity of the domain wall of graphene systems, where a bulk energy gap opens due to the inversion symmetry breaking. Notably, the valley-momentum locking nature makes the topological kink states attractive to the property manipulation in valleytronics. This paper systematically reviews both the theoretical research and experimental progress on topological kink states in monolayer graphene, bilayer graphene and graphene-like classical wave systems. Besides, various applications of topological kink states, including the valley filter, current partition, current manipulation, Majorana zero modes and etc, are also introduced.

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Section: Discussionmentioning

confidence: 99%

Topological kink states in graphene

et al. 2021

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Engineering Quantum Phases of Ultracold Bosons on Lieb Lattice

Lin

2024

Fortschritte der Physik

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The quantum phase transition of the hardcore boson model on a Lieb lattice by quantum Monte Carlo simulations is studied. Considering nearest‐neighbor interchain hopping, the phase diagram of the Bose‐Hubbard model on the Lieb lattice contains solid phases with average density = 2/3, and superfluid phases between solid phases.Two ways of controlling quantum states are discussed: to add an alternating on‐site potential, and to add an alternating hopping amplitude in the X‐ and Y‐directions. For the above cases, there exists a new filling state, = 1/3. Adding an alternating on‐site potential to the Hamiltonian, the phase transition from to is sharp and discontinuous, featuring the nature of a first order. Considering a dimerization term, for large V, it is expected that there is a direct transition from the valence‐bond insulator to the CDW as the interaction is strengthened. For the three cases, upper boundary for and lower boundary for are calculated.

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Hard-core bosonic domain walls on a honeycomb lattice

Cited by 2 publications

References 47 publications

Topological kink states in graphene

Topological kink states in graphene

Engineering Quantum Phases of Ultracold Bosons on Lieb Lattice

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