Singularity in the quasiparticle interaction function in a 2D Fermi gas

1996 ◽  
Vol 46 (S5) ◽  
pp. 2519-2520 ◽  
Author(s):  
M. A. Baranov ◽  
M. Yu. Kagan ◽  
M. S. Mar'enko
Keyword(s):  
Fermi Gas ◽  
Interaction Function ◽  
2D Fermi Gas

scholarly journals An ideal Josephson junction in an ultracold two-dimensional Fermi gas

Science ◽  
2020 ◽  
Vol 369 (6499) ◽  
pp. 89-91 ◽  
Author(s):  
Niclas Luick ◽  
Lennart Sobirey ◽  
Markus Bohlen ◽  
Vijay Pal Singh ◽  
Ludwig Mathey ◽  
...  
Keyword(s):  
Josephson Junction ◽  
High Temperature Superconductors ◽  
Fermi Gas ◽  
Current Phase ◽  
Strongly Correlated ◽  
Two Dimensional ◽  
Weakly Bound ◽  
Ideal Model System ◽  
Sinusoidal Current ◽  
2D Fermi Gas

The role of reduced dimensionality in high-temperature superconductors is still under debate. Recently, ultracold atoms have emerged as an ideal model system to study such strongly correlated two-dimensional (2D) systems. Here, we report on the realization of a Josephson junction in an ultracold 2D Fermi gas. We measure the frequency of Josephson oscillations as a function of the phase difference across the junction and find excellent agreement with the sinusoidal current phase relation of an ideal Josephson junction. Furthermore, we determine the critical current of our junction in the crossover from tightly bound molecules to weakly bound Cooper pairs. Our measurements clearly demonstrate phase coherence and provide strong evidence for superfluidity in a strongly interacting 2D Fermi gas.

scholarly journals Thermodynamics of an Attractive 2D Fermi Gas

2016 ◽  
Vol 116 (4) ◽  
Author(s):  
K. Fenech ◽  
P. Dyke ◽  
T. Peppler ◽  
M. G. Lingham ◽  
S. Hoinka ◽  
...  
Keyword(s):  
Fermi Gas ◽  
2D Fermi Gas

scholarly journals Phase Separation and Pair Condensation in a Spin-Imbalanced 2D Fermi Gas

2016 ◽  
Vol 117 (9) ◽  
Author(s):  
Debayan Mitra ◽  
Peter T. Brown ◽  
Peter Schauß ◽  
Stanimir S. Kondov ◽  
Waseem S. Bakr
Keyword(s):  
Phase Separation ◽  
Fermi Gas ◽  
Pair Condensation ◽  
2D Fermi Gas

scholarly journals Doppler velocimetry of spin and charge currents in the 2D Fermi gas

2013 ◽  
Vol 41 ◽  
pp. 03017
Author(s):  
J. D. Koralek ◽  
L. Yang ◽  
D. R. Tibbetts ◽  
J. L. Reno ◽  
M. P. Lilly ◽  
...  
Keyword(s):  
Fermi Gas ◽  
Doppler Velocimetry ◽  
2D Fermi Gas

Two-Dimensional Fermi Gas at Half Filling is a Luttinger Liquid

1995 ◽  
Vol 5 (11) ◽  
pp. 1481-1486
Author(s):  
E. Batkilin
Keyword(s):  
Luttinger Liquid ◽  
Fermi Gas ◽  
Two Dimensional ◽  
Half Filling

A New Condition of Formation and Stablity of All Crystalline Systems in a Good Agreement with Experimental Data

2015 ◽  
Vol 11 (3) ◽  
pp. 3224-3228
Author(s):  
Tarek El-Ashram
Keyword(s):  
Experimental Data ◽  
Brillouin Zone ◽  
Electron Concentration ◽  
Free Electron ◽  
Lattice Point ◽  
Valence Electron ◽  
Fermi Gas ◽  
Valence Electron Concentration ◽  
Fermi Sphere ◽  
Good Agreement

In this paper we derived a new condition of formation and stability of all crystalline systems and we checked its validity andit is found to be in a good agreement with experimental data. This condition is derived directly from the quantum conditionson the free electron Fermi gas inside the crystal. The new condition relates both the volume of Fermi sphere VF andvolume of Brillouin zone VB by the valence electron concentration VEC as ;𝑽𝑭𝑽𝑩= 𝒏𝑽𝑬𝑪𝟐for all crystalline systems (wheren is the number of atoms per lattice point).

Test of Fermi gas model predictions of level density inXe137

1985 ◽  
Vol 31 (6) ◽  
pp. 2041-2048 ◽  
Author(s):  
B. Fogelberg ◽  
J. A. Harvey ◽  
M. Mizumoto ◽  
S. Raman
Keyword(s):  
Level Density ◽  
Fermi Gas ◽  
Model Predictions

Stable Competitive Dynamics Emerge from Multispike Interactions in a Stochastic Model of Spike-Timing-Dependent Plasticity

2006 ◽  
Vol 18 (10) ◽  
pp. 2414-2464 ◽  
Author(s):  
Peter A. Appleby ◽  
Terry Elliott
Keyword(s):  
Synaptic Plasticity ◽  
Stochastic Model ◽  
Higher Order ◽  
Spike Timing ◽  
Competitive Dynamics ◽  
Spike Timing Dependent Plasticity ◽  
Interaction Function ◽  
Dependent Plasticity ◽  
Order Interaction ◽  
Synaptic Dynamics

In earlier work we presented a stochastic model of spike-timing-dependent plasticity (STDP) in which STDP emerges only at the level of temporal or spatial synaptic ensembles. We derived the two-spike interaction function from this model and showed that it exhibits an STDP-like form. Here, we extend this work by examining the general n-spike interaction functions that may be derived from the model. A comparison between the two-spike interaction function and the higher-order interaction functions reveals profound differences. In particular, we show that the two-spike interaction function cannot support stable, competitive synaptic plasticity, such as that seen during neuronal development, without including modifications designed specifically to stabilize its behavior. In contrast, we show that all the higher-order interaction functions exhibit a fixed-point structure consistent with the presence of competitive synaptic dynamics. This difference originates in the unification of our proposed “switch” mechanism for synaptic plasticity, coupling synaptic depression and synaptic potentiation processes together. While three or more spikes are required to probe this coupling, two spikes can never do so. We conclude that this coupling is critical to the presence of competitive dynamics and that multispike interactions are therefore vital to understanding synaptic competition.

scholarly journals Fermi gas approach to general rank theories and quantum curves

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Naotaka Kubo
Keyword(s):  
Matrix Models ◽  
Critical Role ◽  
Three Dimensional ◽  
Fermi Gas ◽  
Fermi Gases ◽  
Partition Functions ◽  
Density Matrices ◽  
General Rank ◽  
Chern Simons ◽  
The Ideal

Abstract It is known that matrix models computing the partition functions of three-dimensional $$ \mathcal{N} $$ N = 4 superconformal Chern-Simons theories described by circular quiver diagrams can be written as the partition functions of ideal Fermi gases when all the nodes have equal ranks. We extend this approach to rank deformed theories. The resulting matrix models factorize into factors depending only on the relative ranks in addition to the Fermi gas factors. We find that this factorization plays a critical role in showing the equality of the partition functions of dual theories related by the Hanany-Witten transition. Furthermore, we show that the inverses of the density matrices of the ideal Fermi gases can be simplified and regarded as quantum curves as in the case without rank deformations. We also comment on four nodes theories using our results.

Sign in / Sign up

Export Citation Format

Share Document