Phosphorene confined systems in magnetic field, quantum transport, and superradiance in the quasiflat band

Ostahie, B.; Aldea, A.

doi:10.1103/physrevb.93.075408

Cited by 40 publications

(27 citation statements)

References 31 publications

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“…While it was predicted that "bulk phosphorene" displays linearly dispersing Landau levels (LLs) for lowenergy quasiparticles in low magnetic fields, [16][17][18] which was confirmed by recent experiments, 9,10 the results concerning the magnetic response of phosphorene nanoribbons are relatively scarce. In Ref.…”

Section: -10mentioning

confidence: 92%

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Normal and skewed phosphorene nanoribbons in combined magnetic and electric fields

et al. 2017

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The energy spectrum and eigenstates of single-layer black phosphorous nanoribbons in the presence of perpendicular magnetic field and in-plane transverse electric field are investigated by means of a tight-binding method and the effect of different types of edges is analytically examined. A description based on a new continuous model is proposed by expansion of the tight-binding model in the long-wavelength approximation. The wavefunctions corresponding to the flatband part of the spectrum are obtained analytically and are shown to approach agree well with the numerical results from the tight-binding method. Analytical expressions for the critical magnetic field at which Landau levels are formed and the ranges of wavenumbers in the dispersionless flat-band segments in the energy spectra are derived. We examine the evolution of the Landau levels when an in-plane lateral electric field is applied and determine analytically how the edge states shift with magnetic field.

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Section: -10mentioning

confidence: 92%

“…[16] the formation of LLs in normal nanoribbons was reported, while in Ref. [18] the impact of magnetic field on the quasi-flat bands (QFBs) of zigzag nanoribbons were investigated. The purpose of this paper is to examine the influence of magnetic field on phosphorene nanoribbons in more details.…”

Section: -10mentioning

confidence: 99%

Normal and skewed phosphorene nanoribbons in combined magnetic and electric fields

et al. 2017

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“…In particular, for edges terminated along the ZZ direction, a dissipative quantum Hall effect has been calculated. 32 Figure 2 lists some of the most significant anisotropic properties of phosphorene. Figure 2a, b show effective masses of the electron and hole in 2D phosphorene as a function of strain applied along the zigzag (x) and armchair (y) directions.…”

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confidence: 99%

Recent advances in synthesis, properties, and applications of phosphorene

et al. 2017

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Since its first fabrication by exfoliation in 2014, phosphorene has been the focus of rapidly expanding research activities. The number of phosphorene publications has been increasing at a rate exceeding that of other two-dimensional materials. This tremendous level of excitement arises from the unique properties of phosphorene, including its puckered layer structure. With its widely tunable band gap, strong in-plane anisotropy, and high carrier mobility, phosphorene is at the center of numerous fundamental studies and applications spanning from electronic, optoelectronic, and spintronic devices to sensors, actuators, and thermoelectrics to energy conversion, and storage devices. Here, we review the most significant recent studies in the field of phosphorene research and technology. Our focus is on the synthesis and layer number determination, anisotropic properties, tuning of the band gap and related properties, strain engineering, and applications in electronics, thermoelectrics, and energy storage. The current needs and likely future research directions for phosphorene are also discussed. , there has been a quest for new two-dimensional (2D) materials aimed at fully exploring new fundamental phenomena stemming from quantum confinement and size effects. This quest has spurred new areas of research with rapid growth from both theoretical and experimental fronts aimed at technological advancements. Among recently discovered 2D materials, phosphorene is one of the most intriguing due to its exotic properties and numerous foreseeable applications.2 This review discusses recent advances in phosphorene research with special emphasis on: (i) fabrication and techniques for rapid identification of the number of layers; (ii) anisotropic behavior; (iii) band gap and property tuning; (iv) strain engineering and mechanical properties; (v) devices and applications; and (vi) future directions.2D materials composed of a single-atom-thick or a singlepolyhedral-thick layer can be grouped into diverse categories.

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“…The states Φ + ( k) are obtained from the states Φ − ( k) changing the sign of A sites localization. This is electronhole symmetry operation that change a state with energy ǫ in the state with energy −ǫ and change the sign of the wave function projected on one of the sublattices [38][39][40]. In our case Φ…”

Section: A Single Particle Statesmentioning

confidence: 99%

“…Also, for the case of nano-systems, one is typically interested not as much in the ground states configurations, but especially in the excitation energies which are the experimentally measurable quantities. Moreover we shall give insights on the mechanisms that impose the Lieb state as the ground state using the nonoverlapping property of one of the states in the mid-spectrum [15] and the electron-hole symmetry of the Hamiltonian [38][39][40].…”

Section: Introductionmentioning

confidence: 99%

Ground state spin and excitation energies in half-filled Lieb lattices

Ţolea

Niţă

2016

Phys. Rev. B

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We present detailed spectral calculations for small Lieb lattices having up to N = 4 number of cells, in the regime of half-filling, an instance of particular relevance for the nano-magnetism of discrete systems such as quantum dot arrays, due to the degenerate levels at mid-spectrum. While for the Hubbard interaction model -and even number of sites-the ground state spin is given by the Lieb theorem, the inclusion of long range interaction -or odd number of sites-make the spin state not a priori known, which justifies our approach. We calculate also the excitation energies, which are of experimental importance, and find significant variation induced by the interaction potential. One obtains insights on the mechanisms involved that impose as ground state the Lieb state with lower spin rather than the Hund one with maximum spin for the degenerate levels, showing this in the first and second order of the interaction potential for the smaller lattices. The analytical results concorde with the numerical ones, which are performed by exact diagonalization calculations or by a combined mean-field and configuration interaction method. While the Lieb state is always lower in energy than the Hund state, for strong long-range interaction, when possible, another minimal spin state is imposed as ground state.

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Phosphorene confined systems in magnetic field, quantum transport, and superradiance in the quasiflat band

Cited by 40 publications

References 31 publications

Normal and skewed phosphorene nanoribbons in combined magnetic and electric fields

Normal and skewed phosphorene nanoribbons in combined magnetic and electric fields

Recent advances in synthesis, properties, and applications of phosphorene

Ground state spin and excitation energies in half-filled Lieb lattices

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