Negative compressibility in graphene-terminated black phosphorus heterostructures

Wu, Yingying; Chen, Xiaolong; Wu, Zefei; Xu, Shuigang; Han, Tianyi; Lin, Jiangxiazi; Skinner, B. F.; Cai, Yuan; He, Yuheng; Cheng, Chun; Wang, Naiyan

doi:10.1103/physrevb.93.035455

Cited by 13 publications

(17 citation statements)

References 47 publications

(84 reference statements)

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“…Very recently, the decrease of the chemical potential with increasing density has been directly observed by ARPES spectroscopy in two-dimensional monolayers of WSe 2 [13] and quasi-three dimensional spin-orbit correlated materials [14], by conductivity measurements in graphene-MoS 2 heterostructures, [15] and by capacitance measurements in graphene-terminated black phosphorous heterostructures. [16] In these experiments the electronic densities are considerably larger than in conventional semiconductor heterostructures, ruling out the spontaneous occurrence of inhomogeneous phases.…”

mentioning

confidence: 90%

Electrically induced charge-density waves in a two-dimensional electron liquid: Effects of negative electronic compressibility

Hroblak

Principi²,

Zhao

et al. 2017

Phys. Rev. B

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We show that the negative electronic compressibility of two-dimensional electronic systems at sufficiently low density enables the generation of charge density waves through the application of a uniform force field, provided no current is allowed to flow. The wavelength of the density oscillations is controlled by the magnitude of the (negative) screening length, and their amplitude is proportional to the applied force. Both are electrically tunable.Introduction -The occurrence of negative compressibility is a peculiar feature of electronic systems, whose stability against long-range Coulomb repulsion is ensured by the presence of a background charge, such as ionized atomic cores in metals, ionized dopants, or gates in semiconductors.[1] At moderately low density, the chemical potential of the electrons decreases with increasing density, implying a negative compressibility (see Fig. 1). This happens when the negative exchange and correlation contributions to the energy, arising from the electron-electron interaction, dominate over the positive kinetic energy -which is inevitable at sufficiently low density. [1][2][3][4][5] In an ordinary system, a negative compressibility would be a sign of instability, leading to collapse or phase separation, but the electron liquid is generally protected against such instabilities by its background charge. It is only at extremely low densities or at very high magnetic fields that non-uniform phases such as the Wigner crystal [6] or stripe and bubble phases [7] are expected to occur.

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mentioning

confidence: 90%

Electrically induced charge-density waves in a two-dimensional electron liquid: Effects of negative electronic compressibility

Hroblak

Principi²,

Zhao

et al. 2017

Phys. Rev. B

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“…10), whereas phosphorene 2D electron gas shows exceptional Hall mobility of up to 6000 cm 2 V −1 s −1 and quantum Hall effect in high-quality van der Walls heterostructures. 82 Recent studies have also found that trions and excitons in phosphorene can be tuned by using a transistor topography set-up. 83 It is noted that trions can be used in spintronic-based devices due to their non-zero spin.…”

Section: Applications Of Phosphorene Electronic Devices and Sensorsmentioning

confidence: 99%

“…In high-quality phosphorene-based heterostructures with negative compressibility, a many-body effects strong correlations lead to an enhanced capacitance in 2D electronic systems, suggesting potential for low-power nanoelectronics and optoelectronics. 82 The anisotropy of transport in phosphorene can also be incorporated into devices. FET device performance and speed may be increased by orientating the conducting channel along the AM direction.…”

Section: Applications Of Phosphorene Electronic Devices and Sensorsmentioning

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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“…1 Negative compressibility has been recently observed in atomically thin BP wherein strong correlations results in an enhanced gate capacitance. 18 Importantly, negative compressibility occurs at densities as high as n ≈ 10 12 cm −2 which is achievable in experiment. It was shown that an increase in the gate capacitance of a phosphorene field-effect transistor (FET) originates from such negative compressibility at low electron densities.…”

Section: Introductionmentioning

confidence: 97%

“…17 Encapsulation of few-layer phosphorene by h-BN sheets has resulted in new ultraclean heterostructures which could be ideal anisotropic 2D systems with high mobility and a possible negative com-pressibility of electron/hole gas (κ −1 = n 2 ∂µ/∂n), where n is the density and µ is the chemical potential of the interacting system. 1,[18][19][20] A negative compressibility results from electron-electron interactions, in which the exchange and correlation energies lower the chemical potential as the electron density decreases. This effect has been observed to enhance the capacitance of semiconductor 2D electronic systems by a few percent above the expected geometric capacitance 21 and is experimental evidence for the formation of a charge-density-wave (CDW) phase.…”

Section: Introductionmentioning

confidence: 99%

Anisotropic charge density wave in electron-hole double monolayers: Applied to phosphorene

et al. 2018

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The possibility of an inhomogeneous charge density wave phase is investigated in a system of two coupled electron and hole monolayers separated by a hexagonal boron nitride insulating layer. The charge density wave state is induced through the assumption of negative compressibility of electron/hole gases in a Coulomb drag configuration between the electron and hole sheets. Under equilibrium conditions, we derive analytical expressions for the density oscillation along the zigzag and armchair directions. We find that the density modulation not only depends on the sign of the compressibility but also on the anisotropy of the low energy bands. Our results are applicable to any two dimensional system with anisotropic parabolic bands, characterized by different effective masses. For equal effective masses, i.e., isotropic energy bands, our results agree with Hrolak et al.. 1 Our numerical results are applied to phosphorene. PACS numbers: 71.35.-y, 73.21.-b, 74.78.Fk arXiv:1811.12268v1 [cond-mat.mes-hall]

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Negative compressibility in graphene-terminated black phosphorus heterostructures

Cited by 13 publications

References 47 publications

Electrically induced charge-density waves in a two-dimensional electron liquid: Effects of negative electronic compressibility

Electrically induced charge-density waves in a two-dimensional electron liquid: Effects of negative electronic compressibility

Recent advances in synthesis, properties, and applications of phosphorene

Anisotropic charge density wave in electron-hole double monolayers: Applied to phosphorene

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