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A significant part of the phase diagram of the two-dimensional fermionic Hubbard model for moderate interactions and filling factors ($U < 4, \, n<0.7$) is governed by effective Fermi liquid physics with weak BCS-type instabilities. We…

Strongly Correlated Electrons · Physics 2015-07-07 Youjin Deng , Evgeny Kozik , Nikolay V. Prokof'ev , Boris V. Svistunov

It is known that a constant magnetic field is a strong catalyst of dynamical chiral symmetry breaking in 2+1 dimensions, leading to generating dynamical fermion mass even at weakest attraction. In this work we investigate the collective…

High Energy Physics - Phenomenology · Physics 2014-09-18 Gaoqing Cao , Lianyi He , Pengfei Zhuang

We find an exotic spin excitation in a magnetically ordered system with spin orbit magnetism in 2D, where the order parameter has a net spin current and no net magnetization. Starting from a Fermi liquid theory, similar to that for a weak…

Strongly Correlated Electrons · Physics 2013-04-03 Yi Zhang , Kevin S. Bedell

We investigate the $2k_F$ density-wave instability of non-Fermi liquid states by combining exact diagonalization with renormalization group analysis. At the half-filled zeroth Landau level, we study the fate of the composite Fermi liquid in…

Strongly Correlated Electrons · Physics 2020-09-23 Shao-Kai Jian , Zheng Zhu

The interplay of spin-orbit coupling and Zeeman splitting in ultracold Fermi gases gives rise to a topological superfluid phase in two spatial dimensions that can host exotic Majorana excitations. Theoretical models have so far been based…

Quantum Gases · Physics 2018-08-15 J. Brand , L. A. Toikka , U. Zülicke

In this paper we demonstrate the necessity of including the generally omitted collective mode contributions in calculations of the Meissner effect for non-uniform superconductors. We consider superconducting pairing with non-zero center of…

Superconductivity · Physics 2017-06-07 Rufus Boyack , Chien-Te Wu , Brandon M. Anderson , K. Levin

The Fermi-polaron problem of a mobile impurity interacting with fermionic medium emerges in various contexts, ranging from the foundations of Landau's Fermi-liquid theory to electron-exciton interaction in semiconductors, to unusual…

Quantum Gases · Physics 2021-11-02 Pavel E. Dolgirev , Yi-Fan Qu , Mikhail B. Zvonarev , Tao Shi , Eugene Demler

Larkin-Ovchinnikov superconducting state has spontaneous modulation of Cooper pair density, while Fulde-Ferrell state has a spontaneous modulation in the phase of the order parameter. We report that a quasi-two-dimensional Dirac metal,…

Superconductivity · Physics 2019-07-09 Mats Barkman , Alexander A. Zyuzin , Egor Babaev

We reveal the critical properties of the phase transition towards superfluid order that has been proposed to occur in large spin fermionic systems. For this purpose, we consider the bosonic field theory for fluctuations of the complex…

Statistical Mechanics · Physics 2023-05-03 Michal Hnatič , Georgii Kalagov

We study theoretically the collective mode spectrum of a strongly imbalanced two-component unitary Fermi gas in a cigar-shaped trap, where the minority species forms a gas of polarons. We describe the collective breathing mode of the gas in…

Quantum Gases · Physics 2018-03-28 Johannes Hofmann , Frédéric Chevy , Olga Goulko , Carlos Lobo

A Fermi-liquid (FL) with spin-orbit coupling (SOC) supports a special type of collective modes--chiral spin waves--which are oscillations of magnetization even in the absence of the external magnetic field. We study the chiral spin waves of…

Mesoscale and Nanoscale Physics · Physics 2017-05-03 Abhishek Kumar , Dmitrii L. Maslov

We provide a joint theoretical and experimental investigation of the temperature dependence of the collective oscillations of first sound nature exhibited by a highly elongated harmonically trapped Fermi gas at unitarity, including the…

This is the second part of the notes to the course on quantum theory of large systems of non-relativistic matter taught by J. Fr\"{o}hlich at the 1994 Les Houches summer school. It is devoted to a sketchy exposition of some of the beautiful…

Condensed Matter · Physics 2017-07-13 J. Froehlich , T. Chen , M. Seifert

We investigate the collective oscillations in the BCS-BEC crossover region of a trapped Fermi superfluid at T=0. We explicitly include the effect of a Feshbach resonance, which leads to a tunable pairing interaction adjusted by the…

Other Condensed Matter · Physics 2007-05-23 Yoji Ohashi , Allan Griffin

The axial anomaly in a quasi-one-dimensional (quasi-1D) chiral p-wave superfluid model, which has a epsilon_{x} p_{x}+i epsilon_{y} p_{y}-wave gap in 2D is studied. The anomaly causes an accumulation of the quasiparticle and a quantized…

Superconductivity · Physics 2007-05-23 J. Goryo

We study the collective modes of the confined unitary Fermi gas under anisotropic harmonic confinement as a function of the number of atoms. We use the equations of extended superfluid hydrodynamics, which take into account a dispersive von…

Quantum Gases · Physics 2013-10-24 L. Salasnich , P. Comaron , M. Zambon , F. Toigo

We propose a hydrodynamics theory of collective quantum Hall states, which describes incompressible liquids, hexatic liquid crystals, a bubble solid and a Wigner crystal states within a unified framework. The structure of the theory is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. V. Tokatly

A unitary Fermi gas has a surprisingly rich spectrum of large amplitude modes of the pairing field alone, which defies a description within a formalism involving only a reduced set of degrees of freedom, such as quantum hydrodynamics or a…

Statistical Mechanics · Physics 2009-02-25 Aurel Bulgac , Sukjin Yoon

In the slave boson mean field treatment of the t-J model, the ground state for small doping is a d-wave superconductor. A conventional superconductor has collective modes associated with the amplitude and phase of the pairing order…

Strongly Correlated Electrons · Physics 2009-11-07 Patrick A. Lee , Naoto Nagaosa

We describe two dimensional models with a metallic Fermi surface which display quantum phase transitions controlled by strongly interacting critical field theories below their upper critical dimension. The primary examples involve…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev , Takao Morinari