Large Chern-number topological superfluids in a coupled-layer system

Huang, Beibing; Chan, C. F.; Gong, Ming

doi:10.1103/physrevb.91.134512

Cited by 17 publications

(17 citation statements)

References 86 publications

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“…To realize topological state with higher Chern number, one can resort to complicated hoppings [28] or lattices [29]. Nonetheless, the simple triangular lattice favors some topologically nontrivial states, it can produce topological state with higher Chern number by merely the nearest-neighbor hoppings [30,31].…”

Section: Introductionmentioning

confidence: 99%

Topological Fulde-Ferrell superfluids in triangular lattices

Guo

2017

Phys. Rev. A

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Fulde-Ferrell (FF) Larkin-Ovchinnikov (LO) phases were proposed for superconductors or superfluids in strong magnetic field. With the experimental progresses in ultracold atomic systems, topological FFLO phases has also been put forward, since it is a natural consequence of realizable spin-orbital coupling (SOC). In this work, we theoretically investigate a triangular lattice model with SOC and in-plane field. By constructing the phase diagram, we show that it can produce topological FF states with Chern numbers, C = ±1 and C = −2. We get the phase boundaries by the change of the sign of Pfaffian. The chiral edge states for different topological FF phases are also elucidated.

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Section: Introductionmentioning

confidence: 99%

Topological Fulde-Ferrell superfluids in triangular lattices

Guo

2017

Phys. Rev. A

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“…The topological phase diagram can be obtained by the calculation of the winding number [18,21]. Using the chiral basis, the Hamiltonian (8) assumes the following off-diagonal form [21] H˜(k)=UH(k)U†=0AkAk†0, where U is the basis change matrix and Ak is the 2×2 matrix Ak=−ϵk−iΔk−t1−Δ1−t1+Δ1−ϵk−iΔk.…”

Section: Ladder Of Two Kitaev Chainsmentioning

confidence: 99%

Unveiling Signatures of Topological Phases in Open Kitaev Chains and Ladders

et al. 2019

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In this work, the general problem of the characterization of the topological phase of an open quantum system is addressed. In particular, we study the topological properties of Kitaev chains and ladders under the perturbing effect of a current flux injected into the system using an external normal lead and derived from it via a superconducting electrode. After discussing the topological phase diagram of the isolated systems, using a scattering technique within the Bogoliubov–de Gennes formulation, we analyze the differential conductance properties of these topological devices as a function of all relevant model parameters. The relevant problem of implementing local spectroscopic measurements to characterize topological systems is also addressed by studying the system electrical response as a function of the position and the distance of the normal electrode (tip). The results show how the signatures of topological order affect the electrical response of the analyzed systems, a subset of which being robust also against the effects of a moderate amount of disorder. The analysis of the internal modes of the nanodevices demonstrates that topological protection can be lost when quantum states of an initially isolated topological system are hybridized with those of the external reservoirs. The conclusions of this work could be useful in understanding the topological phases of nanowire-based mesoscopic devices.

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“…Experimentally, only a handful of solid-state materials have been synthesized that exhibit |C| ≥ 2 phases [8][9][10][11], though photonic platforms have also met with some success [12]. One route to the realization of higher Chern number phases in the solid state is by the use of layered systems [13][14][15], such as thin films of topological insulators [16][17][18], in which the Chern numbers of individual energy bands add up to yield an overall higher Chern number. Much of the theoretical research on higher Chern number bands has focused on model tight-binding Hamiltonians that host such phases [14,[19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Generating and detecting topological phases with higher Chern number

Alase,

Feder

2021

Preprint

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Topological phases with broken time-reversal symmetry and Chern number |C| ≥ 2 are of fundamental interest, but it remains unclear how to engineer the desired topological Hamiltonian within the paradigm of spin-orbit-coupled particles hopping only between nearest neighbours of a static lattice. We show that phases with higher Chern number arise when the spin-orbit coupling satisfies a combination of spin and spatial rotation symmetries. We leverage this result both to construct minimal two-band tight binding Hamiltonians that exhibit |C| = 2, 3 phases, and to show that the Chern number of one of the energy bands can be inferred from the particle spin polarization at the high-symmetry crystal momenta in the Brillouin zone. Using these insights, we provide a detailed experimental scheme for the specific realization of a time-reversal-breaking topological phase with |C| = 2 for ultracold atomic gases on a triangular lattice subject to spin-orbit coupling. The Chern number can be directly measured using Zeeman spectroscopy; for fermions the spin amplitudes can be measured directly via time of flight, while for bosons this is preceded by a short Bloch oscillation. Our results provide a pathway to the realization and detection of novel topological phases with higher Chern number in ultracold atomic gases.

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Large Chern-number topological superfluids in a coupled-layer system

Cited by 17 publications

References 86 publications

Topological Fulde-Ferrell superfluids in triangular lattices

Topological Fulde-Ferrell superfluids in triangular lattices

Unveiling Signatures of Topological Phases in Open Kitaev Chains and Ladders

Generating and detecting topological phases with higher Chern number

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