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Gauge Nonlocality in Planar Quantum-Coherent Systems

机译:平面量子相干系统中的规范非局部性

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It is shown that a system with quantum coherence can be nontrivially affected by adjacent magnetic or adjacent time-varying electric field regions, with this proximity (or remote) influence having a gauge origin. This is implicit (although overlooked) in numerous works on extended systems with inhomogeneous magnetic fields (with either conventional or Dirac materials) but is generally plagued with an apparent gauge ambiguity. The origin of this annoying feature is explained and it is shown how it can be theoretically removed, leading to macroscopic quantizations (quantized Dirac monopoles, integral quantum Hall effect, quantized magnetoelectric phenomena in topological insulators). Apart however from serving as a theoretical probe of macroscopic quantizations, there are cases (experimental conditions, clarified here) when this "gauge nonlocality" does not really suffer from any ambiguity: an apparently innocent gauge transformation corresponds to real change in physics of a companion system in higher dimensionality, that leads to physical momentum transfers to our own system. This nonlocality, together with the associated "proximity" or remote effects are then real and lead to the remarkable possibility of inducing topological phenomena from outside our system (which always remains field-free and can even reside in simply-connected space). Specific procedures are then proposed to experimentally detect such types of nonlocal effects and exploit them for novel applications. General consequences in solid state physics (such as the first violation of Bloch theorem in a field-free quantum periodic system) are pointed out, and formal analogies with certain high energy physics phenomena (axions, θ-vacua and some types of Gribov ambiguities), as well as with certain largely unexplored phenomena in mechanics and in thermodynamics, are noted.
机译:示出了具有量子相干性的系统可以被相邻的磁场或相邻的时变电场区域非无关紧要地影响,其中这种邻近(或远距离)影响具有量表起源。在具有不均匀磁场(使用常规材料或狄拉克材料)的扩展系统上的许多工作中,这是隐含的(尽管被忽略了),但通常受到表观模棱两可的困扰。解释了此烦人功能的起源,并说明了如何从理论上将其删除,从而导致了宏观量化(量化的狄拉克单极子,积分量子霍尔效应,拓扑绝缘体中的量化磁电现象)。但是,除了作为宏观量化的理论探究之外,在某些情况下(实验条件,在这里已阐明),这种“量规非局部性”实际上并没有遭受任何歧义:显然无辜的量规变换对应于同伴物理的真实变化。高维系统,导致物理动量传递到我们自己的系统。这种非局部性以及相关的“邻近性”或遥远的影响才是真实的,并导致从我们系统外部(始终保持无场状态,甚至可以驻留在简单连接的空间中)引发拓扑现象的显着可能性。然后提出了特定的程序来实验检测这种类型的非局部效应并将其用于新的应用。指出了固态物理学中的一般后果(例如在无场量子周期系统中首次违反布洛赫定理),并提出了与某些高能物理现象(轴,θ-真空和某些类型的格里博夫歧义)的形式类比。以及力学和热力学中某些尚未发现的现象。

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