Project description
Probing the behaviour of strongly correlated materials
Understanding how strongly correlated materials behave at low temperatures has been a long-standing challenge in condensed matter physics. These quantum materials display unusual properties such as anomalous transport, complex phase diagrams and high-temperature superconductivity. However, a better understanding of them has been hindered by a lack of suitable theoretical tools. To gain further knowledge about these complex quantum systems, the EU-funded HQMAT project plans to conduct quantum Monte Carlo simulations of metals close to quantum critical points. Moreover, it will conduct analytical studies of strongly coupled lattice models. Overall, the project will seek 'organising principles' to describe strongly correlated quantum matter, focussing mainly on generic, universal features of quantum fluids.
Objective
Understanding the low-temperature behavior of quantum correlated materials has long been one of the central challenges in condensed matter physics. Such materials exhibit a number of interesting phenomena, such as anomalous transport behavior, complex phase diagrams, and high-temperature superconductivity. However, their understanding has been hindered by the lack of suitable theoretical tools to handle such strongly interacting quantum ``liquids.''
Recent years have witnessed a wave of renewed interest in this long-standing, deep problem, both from condensed matter, high energy, and quantum information physicists. The goal of this research program is to exploit the recent progress on these problems to open new ways of understanding strongly-coupled unconventional quantum fluids. We will perform large-scale, sign problem-free QMC simulations of metals close to quantum critical points, focusing on new regimes beyond the traditional paradigms. New ways to diagnose transport from QMC data will be developed. Exotic phase transitions between an ordinary and a topologically-ordered, fractionalized metal will be studied. In addition, insights will be gained from analytical studies of strongly coupled lattice models, starting from the tractable limit of a large number of degrees of freedom per unit cell. The thermodynamic and transport properties of these models will be studied. These solvable examples will be used to provide a new window into the properties of strongly coupled quantum matter. We will seek ``organizing principles'' to describe such matter, such as emergent local quantum critical behavior and a hydrodynamic description of electron flow. Connections will be made with the ideas of universal bounds on transport and on the rate of spread of quantum information, as well as with insights from other techniques. While our study will mostly focus on generic, universal features of quantum fluids, implications for specific materials will also be studied.
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Funding Scheme
ERC-COG - Consolidator GrantHost institution
7610001 Rehovot
Israel