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A density functional for the lattice gas (Ising model) from fundamental measure theory is applied to the problem of droplet states in three-dimensional, finite systems. Similar to previous simulation studies, the sequence of droplets…

Statistical Mechanics · Physics 2021-09-29 Manuel Maeritz , Martin Oettel

We study a controlled large-$N$ theory of electrons coupled to dynamical two-level systems (TLSs) via spatially-random interactions. Such a physical situation arises when electrons scatter off low-energy excitations in a metallic glass,…

Strongly Correlated Electrons · Physics 2024-06-11 Noga Bashan , Evyatar Tulipman , Jörg Schmalian , Erez Berg

We calculate the entropy of a two-dimensional Fermi Liquid(FL) using a model with a contact interaction between fermions. We find that there are $T^2$ contributions to the entropy from interactions separate from those due to the collective…

Condensed Matter · Physics 2009-10-22 D. Coffey , K. S. Bedell

This paper deals with the derivation of entropy solutions to Cauchy problems for a class of scalar conservation laws with space-density depending fluxes from systems of deterministic particles of follow-the-leader type. We consider fluxes…

Analysis of PDEs · Mathematics 2019-05-24 Marco Di Francesco , Graziano Stivaletta

We study the finite temperature Fermi-liquid to non-Fermi-liquid crossover in the 2D Hubbard model for a range of dopings using the self-consistent ladder dual fermion method. We consider relatively high temperatures where we identify a…

Strongly Correlated Electrons · Physics 2020-02-19 Behnam Arzhang , A. E. Antipov , J. P. F. LeBlanc

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

We would like to put the area law -- believed to by obeyed by entanglement entropies in the ground state of a local field theory -- to scrutiny in the presence of non-perturbative effects. We study instanton corrections to entanglement…

High Energy Physics - Theory · Physics 2017-12-06 Arpan Bhattacharyya , Ling-Yan Hung , Charles M. Melby-Thompson

We consider the symmetry resolved R\'enyi entropies in the one dimensional tight binding model, equivalent to the spin-1/2 XX chain in a magnetic field. We exploit the generalised Fisher-Hartwig conjecture to obtain the asymptotic behaviour…

Statistical Mechanics · Physics 2020-01-08 Riccarda Bonsignori , Paola Ruggiero , Pasquale Calabrese

We investigate the entanglement properties of the equilibrium and nonequilibrium quantum dynamics of 2D and 3D Fermi gases, by computing entanglement entropies of extended space regions, which generally show multiplicative logarithmic…

Statistical Mechanics · Physics 2013-03-27 Jacopo Nespolo , Ettore Vicari

An upper bound of the relative entanglement entropy of thermal states at an inverse temperature $\beta$ of linear, massive Klein-Gordon and Dirac quantum field theories across two regions, separated by a nonzero distance $d$ in a Cauchy…

Mathematical Physics · Physics 2020-02-25 Onirban Islam

We consider the entanglement entropy of an arbitrary subregion in a system of $N$ non-relativistic fermions in $2+1$ dimensions in Lowest Landau Level (LLL) states. Using the connection of these states to those of an auxiliary $1+1$…

High Energy Physics - Theory · Physics 2022-06-29 Sumit R. Das , Shaun Hampton , Sinong Liu

We develop a replicated liquid theory for structural glasses which exhibit spatial variation of physical quantities along one axis, say $z$-axis. The theory becomes exact with infinite transverse dimension $d-1 \to \infty$. It provides an…

Soft Condensed Matter · Physics 2025-11-14 Yukihiro Tomita , Hajime Yoshino

The Landau Fermi-liquid and extended Gutzwiller periodic-orbit theories are presented for the semiclassical description of collective excitations in nuclei, which are close to main topics of the fruitful activity of S.T. Belyaev. Static…

Nuclear Theory · Physics 2013-08-19 A. G. Magner , D. V. Gorpinchenko , J. Bartel

We present an analytic theory unraveling the microscopic mechanism of instabilities within interacting $D$-dimensional Fermi liquid. Our model consists of a $D$-dimensional electron gas subject to an instantaneous electron-electron…

Strongly Correlated Electrons · Physics 2025-01-03 Dmitry Miserev , Herbert Schoeller , Jelena Klinovaja , Daniel Loss

Using the AdS/CFT correspondence we derive a formula for the entanglement entropy of the anti-de Sitter black hole in two spacetime dimensions. The leading term in the large black hole mass expansion of our formula reproduces exactly the…

High Energy Physics - Theory · Physics 2008-11-26 Mariano Cadoni

Non-Fermi liquid behavior is shown to occur in two-dimensional metals which are close to a charge ordering transition driven by the Coulomb repulsion. A linear temperature dependence of the scattering rate together with an increase of the…

Strongly Correlated Electrons · Physics 2009-11-11 J. Merino , A. Greco , N. Drichko , M. Dressel

We report neutron-scattering measurements of the density of states (DOS) of water and liquid Fomblin in a wide range of temperatures. In the liquid phase, we confirm the presence of a universal low-energy linear scaling of the experimental…

Soft Condensed Matter · Physics 2024-08-15 Sha Jin , Xue Fan , Caleb Stamper , Richard A. Mole , Yuanxi Yu , Liang Hong , Dehong Yu , Matteo Baggioli

Based on the semi-classical theory, we investigate the thermodynamic properties of a dipolar Fermi gas. Through a self-consistent procedure, we numerically obtain the phase space distribution function at finite temperature. We show that the…

Quantum Gases · Physics 2010-04-20 J. -N. Zhang , S. Yi

Density-functional theory is utilized to investigate the zero-temperature transition from a Fermi liquid to an inhomogeneous stripe, or Wigner crystal phase, predicted to occur in a one-component, spin-polarized, two-dimensional dipolar…

Quantum Gases · Physics 2015-08-14 B. P. van Zyl , W. Kirkby , W. Ferguson

Entropy, its production, and its change in a dynamical system can be understood from either a fully stochastic dynamic description or from a deterministic dynamics exhibiting chaotic behavior. By taking the former approach based on the…

Mathematical Physics · Physics 2025-08-26 Hong Qian , Zhongwei Shen