Chiral bosonic phases on the Haldane honeycomb lattice

Vasić, Ivana; Petrescu, Alexandru; Hur, Karyn Le; Hofstetter, Walter

doi:10.1103/physrevb.91.094502

Cited by 51 publications

(70 citation statements)

References 135 publications

(240 reference statements)

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“…Looking toward the future, we anticipate that having the ability to induce a local structural transition to a superconducting phase with local probes will be a useful quantum nanotechnology workbench to design superconducting nanostructures for investigating both fundamental interest and practical applications of quantum electronics. We envision the ability to create networks of low dimensional superconducting structures, such as lines and dots, or create patterns to engineer designer bosonic systems with artificial gauge fields [55,56].…”

Section: Discussionmentioning

confidence: 99%

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Creating nanostructured superconductors on demand by local current annealing

Baek

Zhang

et al. 2015

Phys. Rev. B

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Abstract:Superconductivity results from a Bose condensate of Cooper-paired electrons with a macroscopic quantum wavefunction. Dramatic effects can occur when the region of the condensate is shaped and confined to the nanometer scale. Recent progress in nanostructured superconductors has revealed a route to topological superconductivity, with possible applications in quantum computing. However, challenges remain in controlling the shape and size of specific superconducting materials. Here, we report a new method to create nanostructured superconductors by partial crystallization of the half-Heusler material, YPtBi. Superconducting islands, with diameters in the range of 100 nm, were reproducibly created by local current annealing of disordered YPtBi in the tunneling junction of a scanning tunneling microscope (STM). We characterize the superconducting island properties by scanning tunneling spectroscopic measurements to determine the gap energy, critical temperature and field, coherence length, and vortex formations. These results show unique properties of a confined superconductor and demonstrate that this new method holds promise to create tailored superconductors for a wide variety of nanometer scale applications.

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Section: Discussionmentioning

confidence: 99%

“…The uncertainty in the normalized flux is derived from the uncertainty in the island area, which was determined from the STM topographic profile in Fig. 3(e) [56]. …”

Section: Appendix D: Electrical Transport Measurementsmentioning

confidence: 99%

Creating nanostructured superconductors on demand by local current annealing

Baek

Zhang

et al. 2015

Phys. Rev. B

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“…Using direct analogs of the fractional QHE (FQHE) in a topological flat band [17,18], evidence of bosonic FQHE has been demonstrated in a simple lattice model [19]. However, this simple replacement in a Chern insulator does not generate the expected bosonic QHE and the bosonic phase dominated by spinorbit coupling in the Haldane model becomes a chiral superfluid [20][21][22]. The realization of bosonic QHE in a simple lattice is achieved by combining correlated hopping and a background gauge field or the use of the lowest band of an optical flux lattice [23][24][25].…”

mentioning

confidence: 99%

Bosonic edge states in gapped honeycomb lattices

et al. 2016

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Using quantum Monte Carlo simulations of bosons in gapped honeycomb lattices, we prove the existence of bosonic edge states. For single-layer honeycomb lattices, bosonic edge states can be created, cross the gap, and merge into bulk states using an on-site potential applied to the outermost sites of the boundary. On the bilayer honeycomb lattice, bosonic edge states traversing the gap at half filling are demonstrated. The topological origin of the bosonic edge states is discussed in terms of the pseudo-Berry curvature. The results will simulate experimental studies of these exotic bosonic edge states using ultracold bosons trapped in honeycomb optical lattices. Introduction.-Many important phenomena in condensed matter physics share the same intriguing feature, namely, the presence of edge states in the gap. Well-known examples include the quantum Hall effect (QHE), topological insulators, and graphene systems [1][2][3][4]. The appearance of an edge state is the consequence of the non-trivial topological properties of the bulk band. Edge states have been created in various systems such as quantum wells and graphene [5][6][7][8]; the existence of edge states constitutes a central motivation for studying these kinds of materials. Edge states are perfectly conducting channels and play an important role in electronic transport [9]. Edge states can be engineered to create onedimensional topological superconductors, which support localized Majorana fermions [10].

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“…1 As the system has the strong frustrations for the case of φ = 0, it is important to see if the phase diagram depends on the system size. In order to see this, we studied the system with (L x , L y ) = (6,6). No exact diaganalization results are available for this system size.…”

Section: A Low-temperature Phase Diagramsmentioning

confidence: 99%

“…A recent study reported its ground-state properties and low-energy excitations at unit filling 6 . In particular, we are interested in the hardcore boson limit where the on-site repulsive interaction U is very large (U → ∞).…”

Section: Introductionmentioning

confidence: 99%

Phase diagrams of Bose-Hubbard model and antiferromagnetic spin-1/2 models on a honeycomb lattice

Nakafuji

Ichinose

2017

Phys. Rev. A

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Motivated by the recent experimental realization of the Haldane model by ultracold fermions in an optical lattice, we investigate phase diagrams of the hard-core Bose-Hubbard model on a honeycomb lattice. This model is closely related with a spin-1/2 antiferromagnetic (AF) quantum spin model. Nearest-neighbor (NN) hopping amplitude is positive and it prefers an AF configurations of phases of Bose-Einstein condensates. On the other hand, an amplitude of the next-NN hopping depends on an angle variable as in the Haldane model. Phase diagrams are obtained by means of an extended path-integral Monte-Carlo simulations. Besides the AF state, a 120 o -order state, there appear other phases including a Bose metal in which no long-range orders exist.

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Chiral bosonic phases on the Haldane honeycomb lattice

Cited by 51 publications

References 135 publications

Creating nanostructured superconductors on demand by local current annealing

Creating nanostructured superconductors on demand by local current annealing

Bosonic edge states in gapped honeycomb lattices

Phase diagrams of Bose-Hubbard model and antiferromagnetic spin-1/2 models on a honeycomb lattice

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