Quantum Holography in a Graphene Flake with an Irregular Boundary

Chen, Anffany; Ilan, Roni; Juan, Fernando de; Pikulin, Dmitry I.; Franz, Marcel

doi:10.1103/physrevlett.121.036403

Cited by 117 publications

(176 citation statements)

References 37 publications

(46 reference statements)

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“…Compared with the conventional first-principles calculations [33], this method can calculate large nanostructures matching the usual experimental reachable sample size up to sub-100 nm scales with better precision [49]. This advantage enables us to truly explore the electron structure and transport property for the phosphorene nanostructures with differ-ent edge morphologies realized in experiments, and to provide a fundamental understanding in preparation for the design of nano-devices [39,62].…”

Section: Computational Detailsmentioning

confidence: 99%

“…4, in which the system with and without beard edges is respectively considered, and the stability is analyzed by the first-principles approach. In the calculation the scale of the systems is adapted about 10-30 nm to meet the current experimental development [62], which is large enough to show a good illustration of the credibility and feasibility for the calculated results. This scale is more suitable for using Kwant, a Python package for numerical quantum transport calculations.…”

Section: Computational Detailsmentioning

confidence: 99%

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Crystallographic Characterization of Black Phosphorene and its Application in Nanostructures

et al. 2019

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The central question in the field of two-dimensional (2D) materials is how a material behaves when it is patterned at nanometer scale with different edge geometries. Due to the anisotropy inherent in the puckered structure, black phosphorene nanostructures may have more varieties of edge geometries. Here, we present a comprehensive 2D planar crystallographic characterization of phosphorene uniformly by a chiral vector (angle), from which a new type of edge atomic configuration, the slope edge geometry is discovered. The phosphorene nanoribbons (PNRs) with slope edges, like previously noticed zigzag and skewed-armchair PNRs, also own interesting twofold-degenerate edge states. These three marginal directions, together with the skewed-zigzag and armchair directions without edge states, divide a phosphorene into four regions among which the electronic property is different from each other. Further, for a PNR cutting along any possible direction, by taking into account the z-direction in structure, whether or not it owns edge states depends on the existence of periodic zigzag-like morphology along the edges. For application, moreover, we propose a PNR-based z-shaped homogenous junction with scale ∼100 nm, where the central scattering region between two PNR electrodes is a phosphorene quantum dot (PQD) of PNR segment with various edge morphologies. Interestingly, the calculated conductance by Kwant code based on tight-binding combing with scattering-matrix for the junction relies sensitively on the central PQD edge states. In specification, for the junctions of PQD with edge states the conductance exhibit a terrace with resonant oscillations near Fermi energy, otherwise the electron transport is blocked due to the absence of edge states. Remarkably, the number of oscillating peaks exactly matches to the number of sawtooth along an edge of PQD, since the discrete energy levels of the zigzag-like edge provide the transporting channels for electrons. The results here may be extended to the group-VA 2D materials for observing the electronic property of nanostructures in experiments, and provide a reference for the preparation of better nano-devices. *

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Section: Computational Detailsmentioning

confidence: 99%

Section: Computational Detailsmentioning

confidence: 99%

Crystallographic Characterization of Black Phosphorene and its Application in Nanostructures

et al. 2019

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“…However, the calculation should not be viewed as a useless toy model: Engineering a controlled quantum many-body system that would exhibit a version of holographic duality is a realistic experimental goal (e.g., [30,35,41,42]). Such a system would allow experimental access to black-hole scrambling.…”

Section: Holographic Modelmentioning

confidence: 99%

Resilience of scrambling measurements

Swingle

Halpern

2018

Phys. Rev. A

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Most experimental protocols for measuring scrambling require time evolution with a Hamiltonian and with the Hamiltonian's negative counterpart (backward time evolution). Engineering controllable quantum many-body systems for which such forward and backward evolution is possible is a significant experimental challenge. Furthermore, if the system of interest is quantum chaotic, one might worry that any small errors in the time reversal will be rapidly amplified, obscuring the physics of scrambling. This paper undermines this expectation: We exhibit a renormalization protocol that extracts nearly ideal out-of-time-ordered-correlator measurements from imperfect experimental measurements. We analytically and numerically demonstrate the protocol's effectiveness, up to the scrambling time, in a variety of models and for sizable imperfections. The scheme extends to errors from decoherence by an environment.

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“…It has been argued, though, that the AdS 2 -based bulk theory might still offer an adequate description of a sufficiently large class of the experimentally relevant systems, inclusive of the cuprates, heavy fermions, and other examples of the Kondo-type (z = ∞) physics [25,26], as well as the various mesoscopic and cold atom setups proposed for experimental simulations of the SYK Hamiltonian [67][68][69][70][71][72]. The salient features of this universality class are likely to include such common behaviors as linear resistivity and saturated bounds for certain kinetic coefficients and their ratios.…”

Section: Discussionmentioning

confidence: 99%

Thickening and sickening the SYK model

Khveshchenko

2018

SciPost Phys.

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We discuss higher dimensional generalizations of the 0 + 1-dimensional Sachdev-YeKitaev (SYK) model that has recently become the focus of intensive interdisciplinary studies by, both, the condensed matter and field-theoretical communities. Unlike the previous constructions where multiple SYK copies would be coupled to each other and/or hybridized with itinerant fermions via spatially short-ranged random hopping processes, we study algebraically varying long-range (spatially and/or temporally) correlated random couplings in the general d + 1 dimensions. Such pertinent topics as translationallyinvariant strong-coupling solutions, emergent reparametrization symmetry, effective action for fluctuations, chaotic behavior, and diffusive transport (or a lack thereof) are all addressed. We find that the most appealing properties of the original SYK model that suggest the existence of its 1+1-dimensional holographic gravity dual do not survive the aforementioned generalizations, thus lending no additional support to the hypothetical broad (including 'non-AdS d+2 /non-C F T d+1 ') holographic correspondence.

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Quantum Holography in a Graphene Flake with an Irregular Boundary

Cited by 117 publications

References 37 publications

Crystallographic Characterization of Black Phosphorene and its Application in Nanostructures

Crystallographic Characterization of Black Phosphorene and its Application in Nanostructures

Resilience of scrambling measurements

Thickening and sickening the SYK model

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