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New Horizons in Quantum Matter: From Critical Fluids to High Temperature Superconductivity

New Horizons in Quantum Matter: From Critical Fluids to High Temperature Superconductivity

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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Host institution

WEIZMANN INSTITUTE OF SCIENCE

Address

Herzl Street 234
7610001 Rehovot

Israel

Activity type

Higher or Secondary Education Establishments

EU Contribution

€ 1 515 400

Beneficiaries (1)

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WEIZMANN INSTITUTE OF SCIENCE

Israel

EU Contribution

€ 1 515 400

Project information

Grant agreement ID: 817799

Status

Ongoing project

  • Start date

    1 January 2019

  • End date

    31 December 2023

Funded under:

H2020-EU.1.1.

  • Overall budget:

    € 1 515 400

  • EU contribution

    € 1 515 400

Hosted by:

WEIZMANN INSTITUTE OF SCIENCE

Israel