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At temperatures well below the Fermi temperature $T_F$, the coupling of magnetic fluctuations to particle-hole excitations in a two-component Fermi gas makes the transition to itinerant ferromagnetism a first order phase transition. This…

Quantum Gases · Physics 2023-05-29 Chen-How Huang , Miguel A. Cazalilla

We analyze quantum fluctuation effects at the onset of incommensurate $2k_F$ charge- or spin-density wave order in two-dimensional metals, for a model where the ordering wave vector $\boldsymbol{Q}$ connects a single pair of hot spots on…

Strongly Correlated Electrons · Physics 2024-07-09 Lukas Debbeler , Walter Metzner

We consider a theory for a two-dimensional interacting conduction electron system with strong spin-orbit coupling on the interface between a topological insulator and the magnetic (ferromagnetic or antiferromagnetic) layer. For the…

Strongly Correlated Electrons · Physics 2012-12-06 Flavio S. Nogueira , Ilya Eremin

Based on the results obtained in a previous paper (S. Gaudio et al., cond-mat/0505309}, we derive the thermodynamic properties of a Fermi gas, deep into the quantum degenerate regime. We show that, if Luttinger's theorem holds, a first…

Strongly Correlated Electrons · Physics 2007-05-23 Sergio Gaudio , Jason Jackiewicz , Kevin S. Bedell

A metallic electron system near an orientational symmetry breaking Pomeranchuk instability is characterized by a ''soft'' Fermi surface with enhanced collective fluctuations. We analyze fluctuation effects in a two-dimensional electron…

Strongly Correlated Electrons · Physics 2010-12-30 Luca Dell'Anna , Walter Metzner

A variety of analytical techniques suggest that quantum fluctuations lead to a fundamental instability of the Fermi liquid that drives ferromagnetic transitions first order at low temperatures. We present both analytical and numerical…

Strongly Correlated Electrons · Physics 2015-05-13 G. J. Conduit , A. G. Green , B. D. Simons

We analyze quantum fluctuation effects at the onset of charge or spin density wave order with a $2k_F$ wave vector $\mathbf{Q}$ in two-dimensional metals -- for the special case where $\mathbf{Q}$ connects a pair of hot spots situated at…

Strongly Correlated Electrons · Physics 2024-02-08 Lukas Debbeler , Walter Metzner

The effect of thermal fluctuations on the temperature dependence of the topological index C1 of the chiral d+id superconducting phase of a two-dimensional single-band model on a triangular lattice is investigated. Thermal fluctuations are…

Superconductivity · Physics 2025-12-10 A. G. Groshev , A. K. Arzhnikov

The two-dimensional model of itinerant electrons coupled to an anti-ferromagnetic order parameter is considered. In the mean field solution the Fermi surface undergoes reconstruction, and breaks into disconnected ``pockets''. We have…

Strongly Correlated Electrons · Physics 2010-04-09 M. Khodas , A. M. Tsvelik

Itinerant ferromagnetism is one of the most studied quantum phase transitions, the transition point and the nature of this phase transition being widely discussed. In dilute Fermi liquids, this analysis has been carried out up to…

Quantum Gases · Physics 2024-07-22 Jordi Pera , Joaquim Casulleras , Jordi Boronat

In quantum materials, electrons that have strong correlations tend to localize, leading to quantum spins as the building blocks for low-energy physics. When strongly correlated electrons coexist with more weakly-correlated conduction…

Strongly Correlated Electrons · Physics 2021-09-28 Haoyu Hu , Ang Cai , Lei Chen , Lili Deng , Jedediah H. Pixley , Kevin Ingersent , Qimiao Si

The effect of static fluctuations in the phase of the order parameter on the normal and superconducting properties of a 2D system with attractive four-fermion interaction has been studied. Analytic expressions for the fermion Green…

Superconductivity · Physics 2015-06-25 Valery P. Gusynin , Vadim M. Loktev , Rachel M. Quick , Sergei G. Sharapov

We examine the effect of classical magnetic fluctuations on the phase diagram of paramagneticallylimited two-dimensional superconductors under a Zeeman magnetic field. We derive the free energy expansion in powers of the superconducting…

Superconductivity · Physics 2015-03-13 Robert Beaird , Anton B. Vorontsov , Ilya Vekhter

Collective modes in two-dimensional electron fluids show an interesting response to a background carrier flow. Surface plasmons propagating on top of a flowing Fermi liquid acquire a non-reciprocal character manifest in a $\pm k$ asymmetry…

Mesoscale and Nanoscale Physics · Physics 2020-01-01 Haoyang Gao , Zhiyu Dong , Leonid Levitov

Using the fluctuation exchange approximation of the one band Hubbard model, we discuss the origin of the changing Fermi surface volume in underdoped cuprate systems due to the transfer of occupied states from the Fermi surface to its…

Condensed Matter · Physics 2016-08-31 J. Schmalian , M. Langer , S. Grabowski , K. H. Bennemann

The conductivity and the tunneling density of states of disordered itinerant electrons in the vicinity of a ferromagnetic transition at low temperature are discussed. Critical fluctuations lead to nonanalytic frequency and temperature…

Statistical Mechanics · Physics 2009-10-31 D. Belitz , T. R. Kirkpatrick , R. Narayanan , Thomas Vojta

The rearrangement of the Fermi surface of a homogeneous Fermi system upon approach to a second-order phase transition is studied at zero temperature. The analysis begins with an investigation of solutions of the equation $\epsilon(p)=\mu$,…

Strongly Correlated Electrons · Physics 2009-11-10 M. Baldo , V. V. Borisov , J. W. Clark , V. A. Khodel , M. V. Zverev

We consider a two dimensional itinerant antiferromagnet near a quantum critical point. We show that, contrary to conventional wisdom, fermionic excitations in the ordered state are not the usual Fermi liquid quasiparticles. Instead, down to…

Strongly Correlated Electrons · Physics 2009-11-10 I. Vekhter , A. V. Chubukov

It is known that in the two-dimensional disordered superconductors electron-electron interactions in the Cooper channel lead to the negative logarithmic in temperature correction to the tunneling conductance above the critical temperature.…

Superconductivity · Physics 2015-05-13 Alex Levchenko

We consider serious conceptual problems with the application of standard perturbation theory, in its zero temperature version, to the computation of the dressed Fermi surface for an interacting electronic system. In order to overcome these…

Strongly Correlated Electrons · Physics 2007-05-23 S. Dusuel , B. Doucot