Critical behavior of four-terminal conductance of bilayer graphene domain walls

Wieder, Benjamin J.; Zhang, Fan; Kane, C. L.

doi:10.1103/physrevb.92.085425

Cited by 9 publications

(7 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Our work in this Section is inspired by similar studies on crossed nanotubes by Komnik and Egger 40,41 , and refines recent results in the context of a bilayer graphene systems 42,43 .…”

Section: Effective Low-energy Theorysupporting

confidence: 66%

Decoherence of charge density waves in beam splitters for interacting quantum wires

Schulz,

Schneider,

Anglin

2019

Preprint

View full text Add to dashboard Cite

Simple intersections between one-dimensional channels can act as coherent beam splitters for noninteracting electrons. Here we examine how coherent splitting at such intersections is affected by inter-particle interactions, in the special case of an intersection of topological edge states. We derive an effective impurity model which represents the edge-state intersection within Luttinger liquid theory at low energy. For Luttinger K = 1 /2, we compute the exact time-dependent expectation values of the charge density as well as the density-density correlation functions. In general a single incoming charge density wave packet will split into four outgoing wave packets with transmission and reflection coefficients depending on the strengths of the tunnelling processes between the wires at the junction. We find that when multiple charge density wave packets from different directions pass through the intersection at the same time, reflection and splitting of the packets depend on the relative phases of the waves. Active use of this phase-dependent splitting of wave packets may make Luttinger interferometry possible. We also find that coherent incident packets generally suffer partial decoherence from the intersection, with some of their initially coherent signal being transferred into correlated quantum noise. In an extreme case four incident coherent wave packets can be transformed entirely into density-density correlations, with the charge density itself having zero expectation value everywhere in the final state.

show abstract

“…Our work in this Section is inspired by similar studies on crossed nanotubes by Komnik and Egger 40,41 , and refines recent results in the context of a bilayer graphene systems 42,43 .…”

Section: Effective Low-energy Theorysupporting

confidence: 66%

Decoherence of charge density waves in beam splitters for interacting quantum wires

Schulz,

Schneider,

Anglin

2019

Preprint

View full text Add to dashboard Cite

show abstract

“…These domain walls have been shown to host Luttinger liquid physics 58 , and intersections between them can form effective quantum point contacts with switching behavior characterized by universal scaling functions and critical exponents 82 . Additionally, these surface domain walls would provide an improvement over recent efforts to test this physics in qualitatively similar domain walls in gapped bilayer graphene [52][53][54]83,84 , which have also been proposed as Luttinger liquids 85,86 . Notably, as the domain walls in bilayer graphene are protected by valley index, they are quite sensitive to disorder, and thus far Luttinger liquid physics in bilayer graphene has not been observed 87,88 .…”

Section: Quasi-2d Fermion Doubling For Dirac Fermionsmentioning

confidence: 97%

Wallpaper fermions and the nonsymmorphic Dirac insulator

Wieder

Bradlyn

Wang

et al. 2018

Science

Self Cite

171

189

View full text Add to dashboard Cite

Materials whose gapless surface states are protected by crystal symmetries include mirror topological crystalline insulators and nonsymmorphic hourglass insulators. There exists only a very limited set of possible surface crystal symmetries, captured by the 17 "wallpaper groups." Here we show that a consideration of symmetry-allowed band degeneracies in the wallpaper groups can be used to understand previously described topological crystalline insulators and to predict phenomenologically distinct examples. In particular, the two wallpaper groups with multiple glide lines, and4, allow for a topological insulating phase whose surface spectrum consists of only a single, fourfold-degenerate, true Dirac fermion, representing an exception to a symmetry-enhanced fermion-doubling theorem. We theoretically predict the presence of this phase in SrPb in space group 127 (4.

show abstract

“…Since the discovery of nodal points with linear dispersion in single-sheet graphene 8,9 , there has been great effort to locate and characterize similar band-touching nodes in other systems. Rich nodal physics can also be found in graphene bilayers, however these systems have quadratically-dispersing nodes, and thus differing transport properties and gapped phases [9][10][11][12][13][14][15] . Therefore, this search for graphene-like physics can be considered more specifically a search for systems with linearly-dispersing nodal points at the Fermi energy.…”

Section: Introductionmentioning

confidence: 99%

Spin-orbit semimetals in the layer groups

2016

Self Cite

View full text Add to dashboard Cite

Recent interest in point and line node semimetals has led to the proposal and discovery of these phenomena in numerous systems. Frequently, though, these nodal systems are described in terms of individual properties reliant on specific space group intricacies or band-tuning conditions. Restricting ourselves to cases with strong spin-orbit interaction, we develop a general framework which captures existing systems and predicts new examples of nodal materials. In many previously proposed systems, the three-dimensional nature of the space group has obscured key generalities. Therefore, we show how within our framework one can predict and characterize a diverse set of nodal phenomena even in two-dimensional systems constructed of three-dimensional sites, known as the "Layer Groups". Expanding on an existing discussion by Watanabe, Po, Vishwanath, and Zaletel of the relationship between minimal insulating filling, nonsymmorphic symmetries, and compact flat manifolds, we characterize the allowed semimetallic structures in the layer groups and draw connections to related three-dimensional systems.

show abstract

Critical behavior of four-terminal conductance of bilayer graphene domain walls

Cited by 9 publications

References 34 publications

Decoherence of charge density waves in beam splitters for interacting quantum wires

Decoherence of charge density waves in beam splitters for interacting quantum wires

Wallpaper fermions and the nonsymmorphic Dirac insulator

Spin-orbit semimetals in the layer groups

Contact Info

Product

Resources

About