U.S.-Argentina Cooperative Science Program: Research on Fermionic Models in Condensed Matter Physics and Field Theory

这项美国-阿根廷合作科学计划奖将支持伊利诺伊大学的Eduardo Fradkin和阿根廷拉普拉塔大学的Fidel Schaposnik的合作。该项目旨在研究凝聚态物理和场论中的费米子模型。研究人员将使用非微扰方法来研究共形不变（临界）费米子模型的波泛函的普遍性质。他们还将考虑多通道近藤模型，包括在类近藤系统中可能存在的分数量子数状态。这项研究可能应用于一维系统、超导、分数量子霍尔效应和近藤问题。美方在理论和实验凝聚态物理以及数值模拟方面具有专长。阿根廷方面具有理论方面的专门知识，特别是在量子场论方面，以及开展费米子强耦合项目的方法。

This US-Argentina Cooperative Science Program award will support the collaboration of Eduardo Fradkin of the University of Illinois and Fidel Schaposnik of the University of La Plata, Argentina. The project aims to investigate fermionic models in condensed matter physics and field theory. The researchers will use non-perturbative methods to study universal properties of the wave functionals of conformally invariant (critical) fermionic models. They will also consider the Multichannel Kondo model, including the possible existence of states with fractional quantum numbers in Kondo-like systems. The research has possible applications to one-dimensional systems, superconductivity, the fractional quantum Hall effect, and the Kondo problem. The US side has expertise in theoretical and experimental condensed matter physics, as well as numerical simulations. The Argentine side has theoretical expertise, particularly in quantum field theory, as well as methodology for conducting projects in which fermions are strongly coupled.