Quasi-One-Dimensional Correlated Electronic Materials

准一维相关电子材料

• 批准号: 9712765
• 负责人: David Campbell
• 金额: $ 22.5万
• 依托单位: University of Illinois at Urbana-Champaign
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-11-01 至 2001-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9712765&HistoricalAwards=false
• 关键词: Quasi; Dimensional; Correlated; Electronic; Materials

9712765 Campbell Quasi-one-dimensional correlated electronic materials offer a unique opportunity for progress in quantum many-body physics. The theoretical problems are tractable, better than in higher dimensions. The numerical and theoretical techniques can be developed and compared with experiments and often against available exact solutions. This grant to a senior theorist supports work on two related classes of physically relevant 1D models, spin -Peierls and Peierls- Hubbard models. Both classes involve strong interplay between electron-electron interactions and electron- phonon interactions, including the quantum phonons. The research makes use of many of the state-of-the-art techniques, two of the recently developed variants of quantum Monte Carlo, the Stochastic Series Expansion and Constrained Path Monte Carlo. In addition, use will be made of the exact diagonalization techniques, exploiting Maximum-Entropy techniques for analytic continuation and also boundary condition averaging for extrapolations to the thermodynamic limit. The calculations will be carried out for the physical observables such as, spin susceptibility, dynamic structure factors, NMR relaxation rates which will also be compared to the experiments. %%% With the advent of technological interest in conducting polymers, the community of condensed matter theorists has found a wonderful opportunity. Here we have complex systems with subtle electronic and mechanical properties in one dimension. The latter is mathematically the simplest configuration to look for complex solutions. It also proves to be a remarkable touchstone, one where the complex theoretical techniques can be tested for their applicability and accuracy. This grant is to consider some of the newly discovered materials with novel properties and to search for ways one can calculate them theoretically using cutting edge techniques. ***

9712765坎贝尔准一维相关电子材料为量子多体物理学的发展提供了一个独特的机会。 理论上的问题是易于处理的，比在更高的维度。 数值和理论的技术可以开发和比较与实验，往往对现有的精确解。 这批资深理论家支持工作的两个相关类的物理相关的一维模型，自旋佩尔斯和佩尔斯哈伯德模型。 这两类都涉及电子-电子相互作用和电子-声子相互作用之间的强相互作用，包括量子声子。 这项研究利用了许多最先进的技术，两个最近开发的变种量子蒙特卡罗，随机级数展开和约束路径蒙特卡罗。 此外，将使用的精确对角化技术，利用最大熵技术的分析延续和边界条件平均外推到热力学极限。 计算将进行的物理观测，如自旋磁化率，动态结构因子，NMR弛豫速率，这也将与实验进行比较。 随着对导电聚合物的技术兴趣的出现，凝聚态理论家们发现了一个极好的机会。 在这里，我们有复杂的系统，在一维中具有微妙的电子和机械特性。 后者在数学上是寻找复杂解的最简单配置。 它也被证明是一块了不起的试金石，在这里可以测试复杂的理论技术的适用性和准确性。 这项资助是考虑一些新发现的具有新特性的材料，并寻找使用尖端技术从理论上计算它们的方法。 ***