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The definitions of the effective mass of the composite fermion are discussed for the half-filled Landau level problem. In a recent work, Shankar and Murthy show a finite effective mass of the composite fermion by a canonical transformation…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Yue Yu , Zhao-Bin Su , Xi Dai

We estimate the composite fermion effective mass for a general two particle potential r^{-\alpha} using exact diagonalization for polarized electrons in the lowest Landau level on a sphere. Our data for the ground state energy at filling…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 Uwe Girlich , Meik Hellmund

We investigate a two-species Fermi gas with a large mass ratio interacting by an interspecies short-range interaction. Using the Born-Oppenheimer approximation, we determine the interaction energy of two heavy fermions immersed in the Fermi…

Other Condensed Matter · Physics 2009-02-05 Yusuke Nishida

Cold atom experiments can now realize mixtures where different components move in different spatial dimensions. We investigate a fermion mixture where one species is constrained to move along a one-dimensional lattice embedded in a…

Quantum Gases · Physics 2020-07-15 Junichi Okamoto , Wen-Min Huang , Kyle Irwin , David K. Campbell , Shan-Wen Tsai

We study a two-component mixture of fermionic dipoles in two dimensions at zero temperature, interacting via a purely repulsive $1/r^3$ potential. This model can be realized with ultracold atoms or molecules, when their dipole moments are…

Immersing a mobile impurity into a many-body quantum system represents a theoretically intriguing and experimentally effective way of probing its properties.In this work, we study the polaron spectral function in various environments,…

Quantum Gases · Physics 2024-02-28 Ivan Amelio , Nathan Goldman

The induced interaction among the majority spin species, due to the presence of the minority species, is computed for the case of a population-imbalanced resonantly-interacting Fermi gas. It is shown that this interaction leads to an…

Quantum Gases · Physics 2011-06-14 Kelly R. Patton , Daniel E. Sheehy

The propagation of excitation modes in a relativistic ultradegenerate plasma is modified by their interactions with the medium. These modifications can be computed by evaluating their on-shell self-energy, which gives (gauge-independent)…

High Energy Physics - Phenomenology · Physics 2009-10-31 Cristina Manuel

We study spin- and mass-imbalanced mixtures of spin-$\tfrac{1}{2}$ fermions interacting via an attractive contact potential in one spatial dimension. Specifically, we address the influence of unequal particle masses on the pair formation by…

Quantum Gases · Physics 2020-07-29 Lukas Rammelmüller , Joaquín E. Drut , Jens Braun

In Fermionic Molecular Dynamics the occurrence of multifragmentation depends strongly on the intrinsic structure of the many-body state. Slater determinants with narrow single-particle states and a cluster substructure show…

Nuclear Theory · Physics 2007-05-23 T. Neff , H. Feldmeier , R. Roth , J. Schnack

We consider the problem of a single particle interacting with $N$ identical fermions, at zero temperature and in one dimension. We calculate the binding energy as well as the effective mass of the single particle. We use an approximate…

Other Condensed Matter · Physics 2009-04-16 S. Giraud , R. Combescot

The induced intraspecies interactions among the majority species, mediated by the minority species, is computed for a population-imbalanced two-component Fermi gas. Although the Feshbach-resonance mediated interspecies interaction is…

Quantum Gases · Physics 2015-06-04 Kelly R. Patton , Daniel E. Sheehy

For a fermion gas with equally spaced energy levels, the density and the pair correlation function are obtained. The derivation is based on the path integral approach for identical particles and the inversion of the generating functions for…

Statistical Mechanics · Physics 2009-10-31 F. Brosens , J. T. Devreese , L. F. Lemmens

Meson-Baryon Interactions can be successfully described using both Chiral Symmetry and Unitarity. The $s-$wave meson-baryon scattering amplitude is analyzed in a Bethe-Salpeter coupled channel formalism incorporating Chiral Symmetry in the…

Nuclear Theory · Physics 2016-08-16 C. Garcia-Recio , J. Nieves , E. Ruiz Arriola , M. Vicente Vacas

In this article we develop the framework to describe Bose-Fermi mixtures of magnetic atoms, focusing on the interaction of bosonic self-bound dipolar quantum droplets with a small number of fermions. We find an attractive interaction…

Quantum Gases · Physics 2018-09-26 Matthias Wenzel , Tilman Pfau , Igor Ferrier-Barbut

Knowing when a physical system has reached sufficient size for its macroscopic properties to be well described by many-body theory is difficult. We investigate the crossover from few to many-body physics by studying quasi one-dimensional…

Quantum Gases · Physics 2013-10-28 A. N. Wenz , G. Zürn , S. Murmann , I. Brouzos , T. Lompe , S. Jochim

In this work we analyze how effects of finite size may modify the thermodynamics of a system of strongly interacting fermions that we model using an effective field theory with four-point interactions at finite temperature and density and…

High Energy Physics - Theory · Physics 2015-06-11 Antonino Flachi

Exploiting the results of the exact solution for the ground state of the one-dimensional spinless quantum gas of Fermions and impenetrable Bosons with the mu/x_{ij}^2 particle-particle interaction, the Hellmann-Feynman theorem yields…

Strongly Correlated Electrons · Physics 2009-10-31 Rudolf A. Roemer , Paul Ziesche

We present a theoretical interpretation of a recent experiment presented in ref. \cite{Zwierlein06} on the density profile of Fermi gases with unbalanced spin populations. We show that in the regime of strong interaction, the boundaries of…

Statistical Mechanics · Physics 2016-08-16 Frédéric Chevy

We explore a new variational principle for studying one-dimensional quantum systems in a trapping potential. We focus on the Fermi polaron problem, where a single distinguishable impurity interacts through a contact potential with a…

Quantum Gases · Physics 2019-08-09 E. J. Lindgren , R. E. Barfknecht , N. T. Zinner