From the Coulomb blockade regime to the Non-Coulomb blockade regime

Wang, Miao; Reng-Lai, Wu; Yu, Yabin; Huang, Weiqing; Ma, Zheng

doi:10.1016/j.physb.2014.07.061

Cited by 2 publications

(3 citation statements)

References 36 publications

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“…A rapidly polarizable solid-state material is usually utilized as the surrounding medium in solid-state Coulomb blockade. This “charging” cost/energy does not contain any contribution due to electron quantization because such particles are typically selected to be at an intermediate dimensionality whereby the spacing between kinetic energy contributions to the single-particle energy levels (at a given charge state) is less than the thermal energy of k B T , where k B is Boltzmann’s constant and T is the system temperature. − …”

Section: Theory and Methodsmentioning

confidence: 99%

Faradaic Quantized Capacitance as an Ideal Pseudocapacitive Mechanism

et al. 2021

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In this work, we provide a theoretical analysis of quantized capacitance (also referred to as solvated Coulomb blockade) as a pseudocapacitive energy storage mechanism. In particular, we examine how redox species exhibiting quantized capacitance might be engineered to satisfy two basic criteria in the design of an “ideal” pseudocapacitive energy storage mechanism: (1) a near-rectangular voltammetric profile which mimics that of double-layer capacitance and (2) a linear rise in the pseudocapacitive current with respect to the voltammetric scan rate. It is demonstrated that nanoparticles exhibiting quantized capacitance may satisfy the first criterion by tailoring their charging and reorganization energies. It is also shown that the second criterion can be satisfied so long as the voltammetric scan rate does not exceed the electron-transfer rate. By formulating a comprehensive theoretical framework for understanding the electron-transfer properties of quantized capacitance, we arrive at a general phenomenological description of how pseudocapacitive properties might be practically engineered through this mechanism.

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Section: Theory and Methodsmentioning

confidence: 99%

Faradaic Quantized Capacitance as an Ideal Pseudocapacitive Mechanism

et al. 2021

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“…A low-conductance single-electron transistor (SET) can be defined as its dimensionless parallel conductance, g < 1, where g = (G S + G D )/G K , where G S and G D are the high-temperature conductance of tunneling junctions connected with source and drain electrodes, as depicted in figure 1(a), and the quantum conductance G K = e 2 /h. By applying Green's non-equilibrium function approach [5][6][7], the CBPD for a lowconductance SET was calculated [4] and referred to as a weak coupling regime [8][9][10]. Utilizing the proposed method, one can determine the optimum temperature to operate a low-conductance SET for various applications, such as single-electron memory [11][12][13] and quantum dots [14], which trap and manipulate individual electrons, allowing researchers to explore quantum phenomena.…”

Section: Introductionmentioning

confidence: 99%

“…The focus of the theoretical study is on the optimization of these two critical Coulomb blockade effect parameters. This optimization is represented as a Coulomb blockade phase diagram (CBPD), which features a boundary line separating the Coulomb blockade regime from the non-Coulomb blockade regime [4]. By referring to the CBPD, researchers can determine the extent of the Coulomb blockade effect in investigations involving single-electron devices.…”

Section: Introductionmentioning

confidence: 99%

Calculating the Coulomb blockade phase diagram in the strong coupling regime of a single-electron transistor: a quantum Monte Carlo study

Harata,

Hongthong,

Srivilai

2024

J. Stat. Mech.

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We present a novel approach for calculating the Coulomb blockade phase diagram (CBPD) in the experimentally accessible strong coupling regime of a single-electron transistor. Our method utilizes the path integral Monte Carlo technique to accurately compute the Coulomb oscillation of the differential capacitance (DC). Furthermore, we investigate the impact of the gate voltage and temperature variations on the DC, thereby gaining insights into the system’s behavior. As a result, we propose a method to calculate the Coulomb blockade boundary line and demonstrate its efficacy by setting the visibility parameter to 10%. The resulting boundary line effectively defines the transition between the Coulomb and non-Coulomb blockade regimes, thereby enabling the construction of a comprehensive CBPD.

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From the Coulomb blockade regime to the Non-Coulomb blockade regime

Cited by 2 publications

References 36 publications

Faradaic Quantized Capacitance as an Ideal Pseudocapacitive Mechanism

Faradaic Quantized Capacitance as an Ideal Pseudocapacitive Mechanism

Calculating the Coulomb blockade phase diagram in the strong coupling regime of a single-electron transistor: a quantum Monte Carlo study

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