Comment on “Anderson transition in disordered graphene” by Amini M. et al.

Schleede, Jens; Schubert, G.; Fehske, Holger

doi:10.1209/0295-5075/90/17002

Cited by 15 publications

(14 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, when the disorder strength increases to a large enough amount, there will be localized states around the Fermi point, which is consistent with the results of Naumis [29]. Subsequently, Schileede pointed out for an arbitrary disorder strength that all the states are localized and there exists no mobility edge [30]. Amini et al acknowledged that the mobility edge might be induced by the kernel [31], but they argued the comment that the localization can occur throughout the whole spectrum because an arbitrary weak disorder strength is unreasonable since there exists minimal conductivity in graphene samples, and Anderson transition was observed by Bostwick et al [32].…”

Section: Introductionsupporting

confidence: 85%

See 1 more Smart Citation

Kernel polynomial method to Anderson transition in disordered β-graphyne

Wang¹

2020

Condens. Matter Phys.

View full text Add to dashboard Cite

By means of variable moment kernel polynomial method, we analyze the localization properties of β-graphyne sheet subjected to the Anderson disorder. To detect the localization transition we focus on the scaling behavior of the normalized typical density of states. We find that there takes place a metal-insulator transition and the critical disorder strength is of the order of the bandwidth, which is contrary to the one-parameter scaling theory stating that for infinite two dimensional systems, all the electronic states are localized for an arbitrary strength of the Anderson disorder. As its particular localization properties, it is reasonable to predict there will exist dc conductivity for β-graphyne at zero temperature.

show abstract

Section: Introductionsupporting

confidence: 85%

“…ρ ty and ρ me are both finite for extended states while for localized states ρ ty tends to zero but ρ me remains finite. To detect the localization transition only for a single finite size system is insufficient [30]. It is reasonable to take into account the scaling behavior of typical DOS, ρ ty .…”

Section: Model and Methodsmentioning

confidence: 99%

Kernel polynomial method to Anderson transition in disordered β-graphyne

Wang¹

2020

Condens. Matter Phys.

View full text Add to dashboard Cite

show abstract

“…The small oscillations in the RPE kernel pointed out by Schleede et al 9) are not visible in the magnified scale.…”

Section: Figmentioning

confidence: 67%

“…Being practically identical to the normal distribution, the RPE kernel is evidently oscillationless, as opposed to the criticism raised recently by Schleede et al 9) The resolution is uniform and depends only on N . In the KPM, the Jackson kernel becomes asymmetric and varies its width, as the eigenvalue goes away from the center of the spectrum.…”

Section: Figmentioning

confidence: 72%

Rapid Scheme of Producing Generalized Fourier Expansion of Matrix Functions and its Application to Physical Problems

Matsumoto

Yamane

Tanaka

et al. 2011

Progress in Nuclear Science and Technology

View full text Add to dashboard Cite

Application of orthogonal polynomial expansion to quantum simulations is formulated on a general footing, implementing the regulation technique by Sota and Itoh for treating for the Gibbs oscillation. It is an alternative to the kernel polynomial method using Tchebyshev polynomial, but is simpler to handle and makes it possible to use all the popular orthogonal polynomials, covering finite, semi-infinite and infinite intervals of the eigenvalue spectrum. The accuracy can be made equivalent to direct diagonalization, with the resolution being homogeneous in the whole range of the spectrum. The target quantities can be as diverse as including eigenvectors, as well as all sorts of one-particle properties and correlation functions, involving thermal average and quantum time evolution. It can also be used as a handy tool for solving linear algebraic equations.

show abstract

“…While the formation of GICs with potassium has been known since the 1930s, [67] the advent of PIBs resulted from the recent discovery that potassium can reversibly intercalate electrochemically in graphite to a stage-one KC 8 structure in 2015. [12,13] The calculated crystal structures are displayed in Figure 3b, where the lowest enthalpy of formation is observed for the /A α A β A γ A δ/, where the direct stacking of potassium is avoided due to its larger size.…”

Section: Potassium-ion Batterymentioning

confidence: 99%

Carbon Anodes for Nonaqueous Alkali Metal‐Ion Batteries and Their Thermal Safety Aspects

Adams

Varma

2019

Advanced Energy Materials

140

View full text Add to dashboard Cite

electrolyte, but were limited by significant safety concerns, such as thermal runaway, arising from the lithium metal anode and its tendency for dendrite formation. These dendrites develop and grow due to uneven lithium deposition caused by irregularities in the solid electrolyte interphase (SEI) passivation layer, which forms via electrolyte decomposition on the highly reactive lithium anode surface. Eventually, repeated cycling can result in an internal short circuit via puncturing of the separator by dendrites for cell failure and possible thermal runaway. Extensive research was conducted to mitigate these concerns, primarily by electrolyte manipulation to improve SEI uniformity or implementation of a polymer based solid-state electrolyte. However, this issue has still not been fully overcome even to this day, resulting in the alternative strategy of replacing the lithium anode with an intercalation-based storage material.The development of these "rocking chair" batteries began in the 1980s, where charging transfers lithium from cathode to anode and discharging reverses this process, with the first practical demonstrations by Scrosati. [2] Substantial progress came with the discoveries of the standard electrode materials: LiCoO 2 cathode by Goodenough and co-workers in 1981, [3] and graphite anode by Yazami and Touzain in 1983. [4] The first cell comprising a carbon anode and LiCoO 2 cathode was tested by Yoshino in 1983, which exhibited superior safety features as compared to lithium metal anode. [5] Optimization of the electrolyte came from replacing propylene carbonate (PC), which underwent a decomposition reaction with graphite due to cointercalation and exfoliation, to ethylene carbonate (EC)/ diethyl carbonate (DEC) mixtures. A schematic of this mature LIB is shown in Figure 1a. Sony commercialized the lithiumion battery (LIB) in 1991, where the new electrochemistry demonstrated advantages of higher energy density, longer life time, and no memory effect, as compared to the conventional nickel-cadmium and nickel-metal hydride secondary cells. Further progress and improvement in electrolyte, electrode microstructure, and cell manufacturing has led to a doubling of energy density for LIBs since their inception, almost 30 years later, despite their analogous operation mechanism. [6] Additionally, from their initial application for handheld electronics, LIBs are now seeing rapid utilization in vehicle electrification, with the global LIB capacity projected to double to 278 GWh per year Since their commercialization by Sony in 1991, graphite anodes in combination with various cathodes have enabled the widespread success of lithium-ion batteries (LIBs), providing over 10 billion rechargeable batteries to the global population. Next-generation nonaqueous alkali metal-ion batteries, namely sodium-ion batteries (SIBs) and potassium-ion batteries (PIBs), are projected to utilize intercalation-based carbon anodes as well, due to their favorable electrochemical properties. While traditionally graphite anodes have d...

show abstract

Comment on “Anderson transition in disordered graphene” by Amini M. et al.

Cited by 15 publications

References 9 publications

Kernel polynomial method to Anderson transition in disordered β-graphyne

Kernel polynomial method to Anderson transition in disordered β-graphyne

Rapid Scheme of Producing Generalized Fourier Expansion of Matrix Functions and its Application to Physical Problems

Carbon Anodes for Nonaqueous Alkali Metal‐Ion Batteries and Their Thermal Safety Aspects

Contact Info

Product

Resources

About