Tunable zero modes and quantum interferences in flat-band topological insulators

Zurita, Juan; Creffield, Charles E.; Platero, Gloria

doi:10.22331/q-2021-11-25-591

Cited by 18 publications

(2 citation statements)

References 125 publications

(312 reference statements)

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“…As a final note the helix may also be seen as a ladder where one chain has spin up and the other spin down and it may be related to other models. Alternating spin up and spin down the helix is related to a Creutz ladder 47,48 : γ = 4 a staggered Creutz ladder with fluxes 0 and π. For γ = 3 trimerized ladder with fluxes 0, 2π/3, 2π/3, 0, −2π/3, −2π/3, 0.…”

Section: Discussionmentioning

confidence: 99%

Topological states in chiral electronic chains

Sacramento

Madeira²

2022

Phys. Rev. B

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We consider the influence of topological phases, or their vicinity, on the spin density and spin polarization through a chiral chain. We show the quantization of the Berry phase in a one-dimensional polarization helix structure, under the presence of an external magnetic field, and show its influence on the spin density. The polar angle of the momentum space spin density becomes quantized in the regime that the Berry phase is quantized, as a result of the combined effect of the induced spin-orbit coupling and the external transverse magnetic field, while the edge states do not show the polar angle quantization, in contrast with the bulk states. Under appropriate conditions, the model can be generalized to have similarities with a chain with non-homogeneous Rashba spin-orbit couplings, with zero or low energy edge states. Due to the breaking of time-reversal symmetry, we recover the effect of chiral induced spin polarization and spin transport across the chiral chain, when coupling to external leads. Some consequences of the quantized spin polarization and low energy states on the spin transport are discussed.

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Section: Discussionmentioning

confidence: 99%

Topological states in chiral electronic chains

Sacramento

Madeira²

2022

Phys. Rev. B

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“…Among these ladder models, the Creutz ladder [9,10] stands out as one of the most well-known examples, capable of capturing the magnetic field's effects within its straightforward structure. The Creutz ladder exhibits robust zero-energy modes owing to Aharonov-Bohm caging [11] and sustains topologically protected edge modes [12].…”

Section: Introductionmentioning

confidence: 99%

Controllable Floquet topological phases in the magnetic ladder system

Wang,

Zhang,

Yan

et al. 2024

New J. Phys.

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Utilizing both the electric and magnetic fields to manipulate electron dynamics enables the external control of topological states. This study investigates the topological characteristics of a quasi-one-dimensional ladder lattice subjected to a time-periodic electric field and a constant magnetic field. The Floquet topological phases are determined in the high-frequency approximation. In the absence of a magnetic field ($\phi=0$), the energy band diagram is modulated by the electric field parameter $\alpha/\hbar\omega$, leading to a topological phase transition when $\alpha/\hbar\omega$ crosses the value of 1. When a magnetic field is present ($\phi=\pi$), the topological phase transitions in the ladder model are influenced by both the electric field parameter $\alpha/\hbar\omega$ and the perpendicular hopping $t_0$, resulting in a diverse range of adjustable topological states. These discoveries offer promising prospects for the utilization of ladder lattice systems with externally modifiable topological properties.

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Compact localized boundary states in a quasi-1D electronic diamond-necklace chain

et al. 2023

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Zero-energy modes localized at the ends of one-dimensional (1D) wires hold great potential as qubits for fault-tolerant quantum computing. However, all the candidates known to date exhibit a wave function that decays exponentially into the bulk and hybridizes with other nearby zero-modes, thus hampering their use for braiding operations. Here, we show that a quasi-1D diamond-necklace chain exhibits an unforeseen type of robust boundary state, namely compact localized zero-energy modes that do not decay into the bulk. We find that this state emerges due to the presence of a latent symmetry in the system. We experimentally realize the diamond-necklace chain in an electronic quantum simulator setup.

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Tunable zero modes and quantum interferences in flat-band topological insulators

Cited by 18 publications

References 125 publications

Topological states in chiral electronic chains

Topological states in chiral electronic chains

Controllable Floquet topological phases in the magnetic ladder system

Compact localized boundary states in a quasi-1D electronic diamond-necklace chain

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