Relativistic Wigner functions in transition metal dichalcogenides

Ferry, D. K.; Welland, Ian

doi:10.1007/s10825-017-1094-4

Cited by 14 publications

(16 citation statements)

References 62 publications

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“…Recently, there is a significant increment in the employment of WF for electronic systems [20][21][22][23][24][25][26][27]. For instance, it has been used for the study of electron transport [21,23,27]. These different works have achieved to demonstrate that this quantum mechanics formulation allows a clear connection among different physics areas, by the simple reason that this representation treats electrons and photons indistinctly due to their wave nature.…”

Section: Introductionmentioning

confidence: 99%

Phase-space representation of Landau and electron coherent states for uniaxially strained graphene

Díaz-Bautista

Betancur-Ocampo

2020

Phys. Rev. B

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Recent experimental advances in the reconstruction of the Wigner function (WF) in electronic systems have led us to consider the possibility of employing this theoretical tool in the analysis of electron dynamics of uniaxially strained graphene. In this work, we study the effect of strain on the WF of electrons in graphene under the interaction of a uniform magnetic field. This mechanical deformation modifies drastically the shape of the Wigner and Husimi function of Landau and coherent states. The WF has a different behavior straining the material along the zigzag direction in comparison with the armchair one and favors the obtention of electron coherent states. The time evolution of the WF for electron coherent states shows fluctuations between classical and quantum behavior with a local maximum value moving in a closed path. The phase-space representation shows more clearly the effect of non-equidistant of relative Landau levels in the time evolution of electron coherent states than other approaches. Our findings may be useful in establishing protocols for the realization of electron coherent states in graphene as well as a bridge between condensed matter and quantum optics.

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Section: Introductionmentioning

confidence: 99%

Phase-space representation of Landau and electron coherent states for uniaxially strained graphene

Díaz-Bautista

Betancur-Ocampo

2020

Phys. Rev. B

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Section: Wigner Function Applicationsmentioning

confidence: 75%

“…The results are shown in Figure 3, and agree almost exactly with the analytical results. One may compare these results with those of [74] to observe that the Monte Carlo procedure faithfully reproduces the analytical results. approach, we can continue to use a simple model for the Wigner function, formed initially from two Gaussian packets as in the analytical approach.…”

Section: Spin Filteringmentioning

confidence: 83%

“…For a longitudinal field of 1 kV/cm, a typical density of 10 11 cm −2 of free carriers, a mobility is 60 cm 2 /Vs, we find a drift velocity of about 3.6 × 10 4 cm/s. The transverse velocity is generated by the Lorentz force arising from the effective magnetic field, and this gives a transverse velocity of approximately 1.9 × 10 4 cm/s, using values in (15) from [ 74 ]. We will use these values below in the simulations.…”

Section: Wigner Function Applicationsmentioning

confidence: 99%

“…We will use these values below in the simulations. For this system, the Wigner function for two spins starting from the same location in the semiconductor will be entangled with a cross-term representing the correlation of the two oppositely-directed spins [ 74 ], and this may be evaluated analytically. Using the particle Monte Carlo approach, we can continue to use a simple model for the Wigner function, formed initially from two Gaussian packets as in the analytical approach.…”

Section: Wigner Function Applicationsmentioning

confidence: 99%

See 2 more Smart Citations

Complex Systems in Phase Space

Ferry

Nedjalkov

Weinbub

et al. 2020

Entropy

Self Cite

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The continued reduction of semiconductor device feature sizes towards the single-digit nanometer regime involves a variety of quantum effects. Modeling quantum effects in phase space in terms of the Wigner transport equation has evolved to be a very effective approach to describe such scaled down complex systems, accounting from full quantum processes to dissipation dominated transport regimes including transients. Here, we discuss the challanges, myths, and opportunities that arise in the study of these complex systems, and particularly the advantages of using phase space notions. The development of particle-based techniques for solving the transport equation and obtaining the Wigner function has led to efficient simulation approaches that couple well to the corresponding classical dynamics. One particular advantage is the ability to clearly illuminate the entanglement that can arise in the quantum system, thus allowing the direct observation of many quantum phenomena.

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Wavepacket phase-space quantum Monte Carlo method

Welland

Ferry

2020

J Comput Electron

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Relativistic Wigner functions in transition metal dichalcogenides

Cited by 14 publications

References 62 publications

Phase-space representation of Landau and electron coherent states for uniaxially strained graphene

Phase-space representation of Landau and electron coherent states for uniaxially strained graphene

Complex Systems in Phase Space

Wavepacket phase-space quantum Monte Carlo method

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