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Numerically exact theory of transport in strongly correlated systems at low temperature and under magnetic fields

Project description

Accurate descriptions of strongly correlated systems at low temperature and in magnetic fields

Electron transport in strongly correlated systems (in which the movement of one electron is strongly influenced by all other electrons) is a key topic in condensed matter physics. The low-temperature behaviours of such systems are poorly understood. Innovative quantum many-body numerical methods could shed light on these. The ERC-funded SCLoTHiFi project will employ the real-frequency diagrammatic Monte Carlo method, a promising new numerical-method approach to the many-electron problem. It will yield numerically exact results for resistivity in many lattice models at low temperature and as a function of magnetic field. The code will be made publicly available to advance the reverse engineering of functional materials.

Objective

Transport in strongly correlated materials is one of the central topics in condensed matter physics. Due to major prospects for technological applications, particular attention is paid to the cuprate superconductors, and by association, to kappa-organic materials and moir systems. The last decade has seen great progress in the understanding of the generic high-temperature properties of these systems, largely based on the microscopic yet simplified interacting lattice models. However, there are multiple outstanding questions regarding their low-temperature physics.

The mechanism of the strange-metallic linear-in-temperature resistivity and its relation to superconductivity have so far eluded understanding. There is conflicting evidence for the quantum critical (QC) scenario, which is a common view that there is a zero-temperature QC point hidden behind the superconducting dome on the phase diagram of the cuprates. Recent magnetoresistance measurements in these and other materials contribute to a puzzling phenomenology. The factors that determine the magnitude of the superconducting critical temperature are also poorly understood. Further progress is blocked by the limitations of quantum many-body numerical methods.

To address these questions, we propose to employ a highly promising new approach to the numerical solution of the many-electron problem. It may overcome the long-standing limitations and allow for an unprecedented accuracy and control. The real-frequency diagrammatic Monte Carlo method will yield numerically exact results for the resistivity in a range of lattice models, at low temperature, and as a function of magnetic field. These results will help interpret recent experimental results, set new predictions, and open doors to reverse-engineering of functional materials. The tools we develop will be readily applicable to a wide range of condensed matter physics problems, and we will make all code packages publicly available.

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Topic(s)

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HORIZON-ERC - HORIZON ERC Grants

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Call for proposal

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(opens in new window) ERC-2022-STG

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Host institution

INSTITUT ZA FIZIKU
Net EU contribution

Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.

€ 1 498 239,00
Address
PREGREVICA 118
11080 Beograd
Serbia

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Region
Србија - север Београдски регион Београдска област
Activity type
Research Organisations
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Total cost

The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.

€ 1 498 239,00

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