Executive Summary : | The quantum spin liquid (QSL) state, proposed over fifty years ago by Nobel laureate Philip Anderson, is characterized by magnetic moments that behave like a liquid and do not freeze or order even at absolute zero temperature. This state can lead to remarkable properties such as fractionalized quasiparticle excitations, emergent gauge theories, and phases like unconventional superconductivity (SC), ferromagnetism, and Dirac metals. Currently, much of what is known about QSLs comes from experimental and theoretical results on frustrated insulators, but very little is known about their metallic counterparts. The research proposal aims to synthesis, characterize, and understand the macroscopic and/or microscopic behavior of geometrically frustrated metallic spin-liquid materials. The discovery of intrinsically metallic QSLs is crucial to extract the strong interplay between Kondo coupling, magnetic frustration, and quantum criticality in frustrated metallic Kondo systems and understand the complex behavior due to the entanglement of the order parameters. The aim is to identify and study the metallic analogs of low-dimensional and geometrically frustrated insulators using cutting-edge experimental technologies, including inelastic neutron scattering and muon spectroscopy. High-quality single crystals will be prepared using national and international facilities, and phase purity will be characterized using SEM, EDS, EPMA, and/or x-ray diffractometers at BHU. The successful implementation of this proposal will push research on other domains, such as data storage and memory, topological quantum computation, and the discovery of new magnetic phenomena for quantum computers in the future. |