Valley current splitter in minimally twisted bilayer graphene

Hou, Tao; Ren, Yafei; Quan, Yujie; Jung, Jeil; Ren, Wei; Qiao, Zhenhua

doi:10.1103/physrevb.102.085433

Cited by 21 publications

(14 citation statements)

References 37 publications

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“…3(c)]. Although the central metallic area is limited enough, the squared modulus of forward propagating wavepacket into terminal 6 is approximately 14%, agreeing well with the result from the Landauer-Büttiker formalism [45], and the rest is equally partitioned towards adjacent terminals 2 and 4. The partition to the adjacent zero lines is well understood due to the overlap between the incoming and outgoing wavefunctions.…”

supporting

confidence: 79%

“…The extremely-high-precision requirement of gating makes the AB-stacked bilayer graphene be challenging in practical application of ZLMs. Fortunately, minimally twisted bilayer graphene provides a natural system in designing ZLM-based electronics [42][43][44][45][46]. However, the physical origin of current partition at the trifurcation point is still unclear, i.e., how can part of the incoming current directly pass through the trifurcation point?…”

mentioning

confidence: 99%

“…This indicates that the "direct" transmitting current from terminal-3 to -6 is not so "direct", but undergoes a complex routes along the paths of 3 ⇒ 2(4) ⇒ 1(5) ⇒ 6. In a recent work [45], the clue of "bypass jump" can be inferred from the fact that forward scattering is insensitive to the increasing size of AA metallic area within a certain range.…”

mentioning

confidence: 99%

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Physical Origin of Current Partition at a Topological Trifurcation

You¹,

Hou²,

Qiao³

2021

Preprint

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supporting

confidence: 79%

mentioning

confidence: 99%

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Physical Origin of Current Partition at a Topological Trifurcation

You¹,

Hou²,

Qiao³

2021

Preprint

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“…There is also a development of a model where a field theoretical approach is applied to the many-body physics of the channel network, but not in a way that leads to specific predictions for the channel states [26]. Finally, in the work by Hou et al [31] a model of the channels is made using a tightbinding model in a single layer graphene with a position-dependent on-site potential; this approach lacks some of the chiral and layer-coupling aspects. All of these models have some limitations; this clearly leaves room for an in depth analysis of the edge states present in a realistic description of such systems.…”

Section: Introductionmentioning

confidence: 99%

The emergence of one-dimensional channels in marginal-angle twisted bilayer graphene

Walet

Guinea

2019

2D Mater.

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We generalize the continuum model for Moiré structures made from twisted graphene layers, in order to include lattice relaxation and the formation of channels at very small (marginal) twist angles. We show that a precise description of the electronic structure at such small angles can be achieved by i) calculating first the relaxed atomic structure, ii) projecting the interlayer electronic hopping parameters using a suitable basis of Bloch states, and iii) increasing the number of harmonics in the continuum approximation to interlayer hopping. The results show a complex structure of quasi one dimensional states when a finite bias is applied. * Niels.Walet@manchester.ac.uk; http://bit.ly/nielswalet † Francisco.Guinea@imdea.org

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“…This can be interpreted as the domain walls acting as links in the network, whereas the AA domains act as nodes. In the valley-protected network, K states arriving at a node have three valley-preserving scattering directions [15,23], as shown in Fig. 2(b).…”

Section: Introductionmentioning

confidence: 99%

Valley-protected one-dimensional states in small-angle twisted bilayer graphene

et al. 2021

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Theory predicts that the application of an electric field breaks the inversion symmetry of AB and BA stacked domains in twisted bilayer graphene, resulting in the formation of a triangular network of one-dimensional valley-protected helical states. This two-dimensional network of one-dimensional states has been observed in several studies, but direct experimental evidence that the electronic transport in these one-dimensional states is valley protected is still lacking. In this paper, we report the existence of the network in small-angle twisted bilayer graphene at room temperature. Moreover, by analyzing Fourier transforms of atomically resolved scanning tunneling microscopy images of minimally twisted bilayer graphene, we provide convincing experimental evidence that the electronic transport in the counterpropagating one-dimensional states is indeed valley protected.

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Valley current splitter in minimally twisted bilayer graphene

Cited by 21 publications

References 37 publications

Physical Origin of Current Partition at a Topological Trifurcation

Physical Origin of Current Partition at a Topological Trifurcation

The emergence of one-dimensional channels in marginal-angle twisted bilayer graphene

Valley-protected one-dimensional states in small-angle twisted bilayer graphene

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