Non-equilibrium transport properties of helical Tomonaga-Luttinger liquids

螺旋 Tomonaga-Luttinger 液体的非平衡输运特性

• 批准号: 173218440
• 负责人: Professor Dr. Björn Trauzettel
• 金额: --
• 依托单位: Institut für Theoretische Physik und Astrophysik
• 依托单位国家: 德国
• 项目类别: Research Units
• 财政年份: 2010
• 资助国家: 德国
• 起止时间: 2009-12-31 至 2014-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/173218440?language=en
• 关键词: Non; equilibrium; transport; properties; helical

Topological insulators are gapped in the bulk but form gapless edge states at the boundaries. These edge states preserve the bulk symmetries [Qi06] and have therefore rather specific properties. In twodimensional (2D) topological insulators, the edge states are one-dimensional (1D). This 1D system (in the presence of electron-electron interactions) has been coined helical Tomonaga-Luttinger liquid (hTLL) [Wu06,Xu06] because the spin and the direction of motion are strongly bound. The proposed projects deal with non-equilibrium transport properties of hTLLs. Using the Keldysh formalism and bosonization, we intend to calculate the non-linear current as well as the current noise in multiterminal setups based on hTLLs coupled to normal metal as well as superconducting electron reservoirs. Due to the helicity of the 1D system, we expect exciting appearances of fractional charges which should be observable in shot noise measurements. The most interesting question we would like to address is under which circumstances one can expect to see the above mentioned fractional excitations in a realistic experimental scenario.

拓扑绝缘子被散布在散装中，但在边界形成无间隙边缘状态。这些边缘状态保留了散装对称性[QI06]，因此具有相当特定的特性。在二维（2D）拓扑绝缘子中，边缘状态为一维（1D）。由于旋转和运动方向强烈结合，因此这种1D系统（在存在电子 - 电子相互作用的情况下）已被创造出来。拟议的项目涉及HTLL的非平衡运输特性。使用Keldysh的形式主义和琼脂化，我们打算根据基于与正常金属的HTLLS以及超导电子储层的HTLLS中的多发设置中的非线性电流以及电流噪声。由于1D系统的螺旋性，我们期望分数电荷的令人兴奋的外观，应在射击噪声测量中观察到。我们想解决的最有趣的问题是，在哪些情况下，人们可以期望在现实的实验场景中看到上述分数激发。