This title appears in the Scientific Report :
2018
Please use the identifier:
http://hdl.handle.net/2128/18575 in citations.
Exact Results for the Many-Electron Problem: Competing Orders in a Nearly Antiferromagnetic Metal
Exact Results for the Many-Electron Problem: Competing Orders in a Nearly Antiferromagnetic Metal
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 ofte...
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Personal Name(s): | Trebst, S. (Corresponding author) |
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Contributing Institute: |
John von Neumann - Institut für Computing; NIC |
Published in: |
NIC Symposium 2018 |
Imprint: |
Jülich
Forschungszentrum Jülich GmbH, Zentralbibliothek
2018
|
Physical Description: |
289 - 296 |
Conference: | NIC Symposium 2018, Jülich (Germany), 2018-02-22 - 2018-02-23 |
Document Type: |
Contribution to a book Contribution to a conference proceedings |
Research Program: |
ohne Topic |
Series Title: |
NIC Series
49 |
Link: |
OpenAccess OpenAccess |
Publikationsportal JuSER |
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. |