一维强关联绝缘体的介电击穿:从非厄密辛格ordon理论中获得的通用公式
Dielectric breakdown of strongly correlated insulators in one dimension: Universal formula from non-Hermitian sine-Gordon theory
AI总结:
本文基于非厄密辛格ordon理论,推导出一维强关联绝缘体介电击穿的通用解析公式,揭示了非线性非平衡输运现象的普遍性。
摘要:
将强电场应用于绝缘体时会引发有限电流。这种现象称为介电击穿,是固体中一种基本的非平衡和非线性输运现象。本文研究了一维通用强关联绝缘体的介电击穿。结合玻色化技术与量子隧穿理论,我们开发了一种使用非厄密辛格ordon理论的有效场论描述。然后,我们推导出一个解析公式,该公式是Landau-Zener公式的多体推广。重要的是,我们指出阈值电场包含了一个之前被忽视的因素,源于基本激发态的电荷,当系统具有分数化激发时,这个因素应具有重要意义。我们将结果应用于可积分晶格模型,并确认我们的公式在包括弱耦合区域在内的广泛范围内有效,表明其广泛的应用潜力。我们的结果揭示了各种强关联绝缘体中非线性和非平衡输运现象的普遍特性。
英文摘要:
Application of a strong electric field to insulators induces a finite current. This phenomenon is called dielectric breakdown and is known as a fundamental nonequilibrium and nonlinear transport phenomenon in solids. Here, we study the dielectric breakdown of generic strongly correlated insulators in one dimension. Combining bosonization techniques with a quantum tunneling theory, we develop an effective field-theoretical description of dielectric breakdown using a non-Hermitian sine-Gordon theory. Then, we derive an analytic formula for the threshold field, which is a many-body generalization of the Landau-Zener formula. Importantly, we point out that the threshold field contains a previously overlooked factor originating from the charges of elementary excitations, which should be significant when a system has fractionalized excitations. We apply our results to integrable lattice models and confirm that our formula is valid in a broad range including the weak coupling regime, indicating its wide potential applicability. Our results unveil universal aspects of nonlinear and nonequilibrium transport phenomena in various strongly correlated insulators.
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