Contribution to a conference proceedings/Contribution to a book

FZJ-2018-02964

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Exact Results for the Many-Electron Problem: Competing Orders in a Nearly Antiferromagnetic Metal

Trebst, S. (Corresponding author)

2018
Forschungszentrum Jülich GmbH, Zentralbibliothek Jülich

Please use a persistent id in citations: http://hdl.handle.net/2128/18575

Abstract: One of the most challenging problems in computational condensed matter physics is the simulation of many-electron systems by unbiased numerical techniques. Quantum Monte Carlo approaches – typically the method of choice for quantum many-body systems with bosonic or spin degrees of freedom – are oftentimes limited to handle many-electron systems due to the infamous fermion-sign problem that severely limits the computational efficiency of this otherwise very potent class of algorithms. Here we report on an elegant approach to overcome the fermion-sign problem in the study of competing quantum magnetism and superconductivity in metals. This approach allows us to study the onset of spin-density wave order in such itinerant electron systems via two-dimensional lattice models amenable to numerically exact, sign-problem-free determinantal quantum Monte Carlo simulations. The finite-temperature phase diagram of these models reveal a dome-shaped d-wave superconducting phase near the magnetic quantum phase transition. The striking similarity of these numerical results to the experimentally observed phenomenology of many unconventional superconductors points a way to a microscopic understanding of such strongly coupled systems in a controlled manner.

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Contributing Institute(s):

1. John von Neumann - Institut für Computing (NIC)

Research Program(s):

1. 899 - ohne Topic (POF3-899) (POF3-899)

Appears in the scientific report 2018

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Database coverage:

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