量子理论和一般相对论的统一是物理学长期以来一项颇具挑战性的任务。各种候选理论的研究表明：通常的海森堡代数将被广义海森堡代数所取代，但由于广义海森堡代数出现在普朗克能标。因此，广义海森堡代数的实验验证是现有实验难以实现的。值得指出的是：在石墨烯中，其载荷子的速度接近于光速，呈现相对论性特征，服从无质量Dirac方程。载荷子的这一独特性质使得石墨烯成为研究高能物理和凝聚态物理的桥梁及捡验高能物理理论的理想实验平台。该项目拟应用广义海森堡代数框架下的量子理论研究石墨烯的自旋极化输运、量子霍尔效应和AB效应。从而分别获得石墨烯系统的隧穿电导、隧穿磁阻、霍尔电导和AB相位。通过对其理论结果的分析，探索广义海森堡代数实验检测的理论方案。从而为以石墨烯为实验平台的广义海森堡代数的实验检测设计提供相应的理论指导和借鉴。

One of the main challenges in physics is to merge quantum theory and the theory of general relativity into a unified framework and the various candidate theories have been extensively studied.In the Context of quantum gravity,the Heisenberg uncertainty principle should be modified to the so-called Generalized Uncertainty Principle.However, it is difficult to test it experimentally under current laboratory conditions. On the other hand,graphene is a two-dimensional crystal and the electrons near these symmetry points behave as massless relativistic Dirac fermions with an effective Dirac–Weyl Hamiltonian. It is a new bridge between high-energy physics and condensed matter physics research. In the project, for graphenesystem, the properties of polarized transport, the quantum Hall effect and AB effect will be studied by the quantum theories of various generalized Heisenberg Algebra. Analyzing the influences of quantum gravity on them, will provide a theoretical reference and guidance for the experimental verification of quantum gravity theory.