English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We analyze the ground state energy for N fermions in a two-dimensional boxinteracting with an impurity particle via two-body point interactions. We allowfor mass ratios M > 1.225 between the impurity mass and the mass of a fermionand consider arbitrarily large box sizes while keeping the Fermi energy fixed.Our main result shows that the ground state energy in the limit of weakcoupling is given by the polaron energy. The polaron energy is an energyestimate based on trial states up to first order in particle-hole expansion,which was proposed by Chevy in the physics literature. For the proof we apply aBirman-Schwinger principle that was recently obtained by Griesemer and Linden.One main new ingredient is a suitable localization of the polaron energy.

Weak coupling limit for the ground state energy of the 2D Fermi polaron