Effect of strong electric fields on material responses : the Bloch oscillation resonance in high field conductivities
In this paper, we investigated the effect of strong electric fields on material responses and the Bloch oscillation resonance in high field conductivities. For this purpose, a high-order accurate explicit modal discontinuous Galerkin (DG) solver is employed for solving the quantum Boltzmann transpor...
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sg-ntu-dr.10356-1453022023-02-28T20:04:54Z Effect of strong electric fields on material responses : the Bloch oscillation resonance in high field conductivities Singh, Satyvir Battiato, Marco School of Physical and Mathematical Sciences Science::Physics Boltzmann Transport Modal Discontinuous Galerkin In this paper, we investigated the effect of strong electric fields on material responses and the Bloch oscillation resonance in high field conductivities. For this purpose, a high-order accurate explicit modal discontinuous Galerkin (DG) solver is employed for solving the quantum Boltzmann transport equation (BTE) in the context of electron transport at nanoscales under strongly out-of-equilibrium conditions. Here, we study the transient behavior and the convergence of a steady-state response to an external oscillating electric field switched on at time zero. We first benchmark our numerical results with known analytic steady-state responses at low fields. The computational results show that the present DG scheme is in excellent agreement with analytic solutions over the whole range of parameters and to an extremely high precision, allowing us to achieve good agreement even for the fifth-order response at low fields. We then extend the method to strong electric fields and show how the responses are deviated from the low-field ones and the transition to a dampened Bloch oscillation regime. Most importantly, we report the observation of a new regime induced by the resonance between the standard low-field response and Bloch oscillations. Nanyang Technological University Published version This work was supported by the Nanyang Technological University Singapore, through the NAP-SUG grant. 2020-12-17T01:32:49Z 2020-12-17T01:32:49Z 2020 Journal Article Singh, S. & Battiato, M. (2020). Effect of strong electric fields on material responses : the Bloch oscillation resonance in high field conductivities. Materials, 13(5), 1070-. https://dx.doi.org/10.3390/ma13051070 1996-1944 https://hdl.handle.net/10356/145302 10.3390/ma13051070 32121100 5 13 1070 en NAP, M408074 Materials © 2020 The Authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). application/pdf |
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Science::Physics Boltzmann Transport Modal Discontinuous Galerkin Singh, Satyvir Battiato, Marco Effect of strong electric fields on material responses : the Bloch oscillation resonance in high field conductivities |
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In this paper, we investigated the effect of strong electric fields on material responses and the Bloch oscillation resonance in high field conductivities. For this purpose, a high-order accurate explicit modal discontinuous Galerkin (DG) solver is employed for solving the quantum Boltzmann transport equation (BTE) in the context of electron transport at nanoscales under strongly out-of-equilibrium conditions. Here, we study the transient behavior and the convergence of a steady-state response to an external oscillating electric field switched on at time zero. We first benchmark our numerical results with known analytic steady-state responses at low fields. The computational results show that the present DG scheme is in excellent agreement with analytic solutions over the whole range of parameters and to an extremely high precision, allowing us to achieve good agreement even for the fifth-order response at low fields. We then extend the method to strong electric fields and show how the responses are deviated from the low-field ones and the transition to a dampened Bloch oscillation regime. Most importantly, we report the observation of a new regime induced by the resonance between the standard low-field response and Bloch oscillations. |
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School of Physical and Mathematical Sciences |
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School of Physical and Mathematical Sciences Singh, Satyvir Battiato, Marco |
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Article |
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Singh, Satyvir Battiato, Marco |
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Singh, Satyvir |
title |
Effect of strong electric fields on material responses : the Bloch oscillation resonance in high field conductivities |
title_short |
Effect of strong electric fields on material responses : the Bloch oscillation resonance in high field conductivities |
title_full |
Effect of strong electric fields on material responses : the Bloch oscillation resonance in high field conductivities |
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Effect of strong electric fields on material responses : the Bloch oscillation resonance in high field conductivities |
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Effect of strong electric fields on material responses : the Bloch oscillation resonance in high field conductivities |
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effect of strong electric fields on material responses : the bloch oscillation resonance in high field conductivities |
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2020 |
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https://hdl.handle.net/10356/145302 |
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