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A recently developed model of interacting composite fermions, is used to investigate different composite-fermion phases. Their interaction potential allows for the formation of both solid and new quantum-liquid phases, which are interpreted…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. O. Goerbig , P. Lederer , C. Morais Smith

We derive rigorously the leading asymptotics of the so-called Anderson integral in the thermodynamic limit for one-dimensional, non-relativistic, spin-less Fermi systems. The coefficient, $\gamma$, of the leading term is computed in terms…

Mathematical Physics · Physics 2013-10-30 Heinrich Küttler , Peter Otte , Wolfgang Spitzer

Superfluidity is a fascinating phenomenon that, at the macroscopic scale, leads to dissipationless flow and the emergence of vortices. While these macroscopic manifestations of superfluidity are well described by theories that have their…

Quantum Gases · Physics 2014-06-18 Yangqian Yan , D. Blume

We derive the elastic collision rate for a harmonically-trapped Fermi gas in the extreme unitarity limit where the s-wave scattering cross section is $\sigma (k) =4\pi/k^2$, with $\hbar k$ the relative momentum. The collision rate is given…

Statistical Mechanics · Physics 2009-11-10 M. E. Gehm , S. L. Hemmer , K. M. O'Hara , J. E. Thomas

We calculate the Wilson ratio of the one-dimensional Fermi gas with spin imbalance. The Wilson ratio of attractively interacting fermions is solely determined by the density stiffness and sound velocity of pairs and of excess fermions for…

Quantum Gases · Physics 2015-06-16 X. W. Guan , X. G. Yin , A. Foerster , M. T. Batchelor , C. H. Lee , H. Q. Lin

Using a composite fermion picture, we study the lateral transport between two two-dimensional electron gases, at filling factor 1/2, separated by a potential barrier. In the mean field approximation, composite fermions far from the barrier…

Condensed Matter · Physics 2009-10-28 L. Brey , C. Tejedor

We study the problem of resonant tunneling between a Fermi liquid and the edge of a $\nu=1/3$ fractional quantum Hall state. In the limit of weak coupling, the system is adequately described within the sequential tunneling approximation. At…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. L. Kane

We propose a two-stage spin quenching scenario for the unusual heavy fermion state realized in the mixed valent metal LiV$_2$O$_4$. In this theory, local valence fluctuations are responsible for the formation of partially quenched, spin 1/2…

Strongly Correlated Electrons · Physics 2009-11-07 J. Hopkinson , P. Coleman

We propose a new scenario for compound chondrule formation named as "fragment-collision model," in the framework of the shock-wave heating model. A molten cm-sized dust particle (parent) is disrupted in the high-velocity gas flow. The…

Astrophysics · Physics 2009-11-13 Hitoshi Miura , Seiji Yasuda , Taishi Nakamoto

We observe geometric resonance features of composite fermions on the flanks of the even denominator {\nu} = 1/2 fractional quantum Hall state in high-mobility two-dimensional electron and hole systems confined to wide GaAs quantum wells and…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 M. A. Mueed , D. Kamburov , S. Hasdemir , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

Motivated by the recent experiment by Grayson et.al., we investigate a non-ohmic current-voltage characteristics for the tunneling into fractional quantum Hall liquids. We give a possible explanation for the experiment in terms of the…

Condensed Matter · Physics 2009-10-31 Ken-ichiro Imura

Recent groundbreaking experiments studying the effects of spin polarization on pairing in unitary Fermi gases encountered mutual qualitative and quantitative discrepancies which seem to be a function of the confining geometry. Using novel…

Quantum Gases · Physics 2011-03-09 L. O. Baksmaty , Hong Lu , C. J. Bolech , Han Pu

Via measurements of commensurability features near Landau filling factor $\nu=1/2$, we probe the shape of the Fermi contour for hole-flux composite fermions confined to a wide GaAs quantum well. The data reveal that the composite fermions…

Mesoscale and Nanoscale Physics · Physics 2015-05-04 M. A. Mueed , D. Kamburov , Yang Liu , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin , R. Winkler

The so-called ``non-Fermi liquid'' behavior is very common in strongly correlated systems. However, its operational definition in terms of ``what it is not'' is a major obstacle against theoretical understanding of this fascinating…

Strongly Correlated Electrons · Physics 2015-05-27 Junping Shao , Eun-Ah Kim , F. D. M. Haldane , Edward H. Rezayi

The behavior of a single impurity in a one-dimensional Luttinger liquid is numerically investigated by means of the density matrix renormalization group. By analyzing the finite size scaling behavior of the low energy spectrum, we confirm…

Condensed Matter · Physics 2009-10-28 Shaojin Qin , Michele Fabrizio , Lu Yu

We investigate the approach to the quantum critical point of a Pomeranchuk instability from the symmetric, disordered side of the phase diagram. In the low-temperature limit, a Fermi liquid description of the metal is possible and becomes…

Strongly Correlated Electrons · Physics 2015-06-25 P. Wölfle , A. Rosch

The few-fermion atomic gas is an ideal setting to explore inhomogeneous superfluid pairing analogous to the Larkin-Ovchinnikov state. Two up and one down-spin atom is the minimal configuration that displays an inhomogeneous pairing density…

Quantum Gases · Physics 2013-08-07 P. O. Bugnion , J. A. Lofthouse , G. J. Conduit

The wavefunction renormalization in the Hubbard model is studied, by using well tested mean field tecniques. The 'orthogonality catastrophe' is shown to exist, even in 2D, for doping levels sufficiently close to half filling. The results…

Condensed Matter · Physics 2007-05-23 E. Louis , G. Chiappe , J. Galan , F. Guinea , J. A. Verges

Nematicity in quantum Hall systems has been experimentally well established at excited Landau levels. The mechanism of the symmetry breaking, however, is still unknown. Pomeranchuk instability of Fermi liquid parameter $F_{\ell} \le -1$ in…

Strongly Correlated Electrons · Physics 2018-10-12 Kyungmin Lee , Junping Shao , Eun-Ah Kim , F. D. M. Haldane , Edward H. Rezayi

We present a composite fermion theory of tunneling into the edge of a compressible quantum Hall system. The tunneling conductance is non-ohmic, due to slow relaxation of electromagnetic and Chern-Simons field disturbances caused by the…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 A. V. Shytov , L. S. Levitov , B. I. Halperin