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Related papers: On minimal residual entropy in non-Fermi liquids

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We consider a PT-symmetric Fermi gas with an exceptional point, representing the critical point between PT-symmetric and symmetry broken phases. The low energy spectrum remains linear in momentum and is identical to that of a hermitian…

Strongly Correlated Electrons · Physics 2022-04-11 Balázs Dóra , Doru Sticlet , Catalin Pascu Moca

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

Nonequilibrium transport measurements in mesoscopic quasi-ballistic 2D electron systems show an enhancement in the differential conductance around the Fermi energy. At very low temperatures, such a zero-bias anomaly splits, leading to a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Arindam Ghosh , Matthew Wright , Christophe Siegert , Michael Pepper , Ian Farrer , Chris Ford , David Ritchie

Entanglement in a pure state of a many-body system can be characterized by the R\'enyi entropies $S^{(\alpha)}=\ln\textrm{tr}(\rho^\alpha)/(1-\alpha)$ of the reduced density matrix $\rho$ of a subsystem. These entropies are, however,…

Disordered Systems and Neural Networks · Physics 2020-06-18 Maximilian Kiefer-Emmanouilidis , Razmik Unanyan , Jesko Sirker , Michael Fleischhauer

The local entropy of a nonequilibrium system of independent fermions is investigated, and analyzed in the context of the laws of thermodynamics. It is shown that the local temperature and chemical potential can only be expressed in terms of…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 Charles A. Stafford , Abhay Shastry

To produce a fermionic model exhibiting an entanglement entropy volume law, we propose a particular version of nonlocality in which the energy-momentum dispersion relation is effectively randomized at the shortest length scales while…

Quantum Physics · Physics 2019-07-31 G. C. Levine

We study the von Neumann entropy asymptotics of pure translation-invariant quasi-free states of d-dimensional fermionic systems. It is shown that the entropic area law is violated by all these states: apart from the trivial cases, the…

Mathematical Physics · Physics 2011-05-09 S. Farkas , Z. Zimboras

In this article we study the regularity of the topological and metric entropy of partially hyperbolic flows with two-dimensional center direction. We show that the topological entropy is upper semicontinuous with respect to the flow, and we…

Dynamical Systems · Mathematics 2018-11-05 Mario Roldán , Radu Saghin , Jiagang Yang

We argue that the gauge-fermion interaction in multiflavour quantum electrodynamics in $(2 + 1)$-dimensions is responsible for non-fermi liquid behaviour in the infrared, in the sense of leading to the existence of a non-trivial (quasi)…

High Energy Physics - Theory · Physics 2009-10-28 I. J. R. Aitchison , N. E. Mavromatos

A system of interacting, identical fermions described by standard Landau Fermi-liquid (FL) theory can experience a rearrangement of its Fermi surface if the correlations grow sufficiently strong, as occurs at a quantum critical point where…

Strongly Correlated Electrons · Physics 2015-06-04 J. W. Clark , M. V. Zverev , V. A. Khodel

Using the method of continuous renormalization group around the Fermi surface, we prove that a two-dimensional jellium interacting system of Fermions at low temperature T is a Fermi liquid (analytic in the coupling constant g) for g <…

Superconductivity · Physics 2009-10-31 M. Disertori , V. Rivasseau

I compute the leading contribution to the ground state Renyi entropy $S_{\alpha}$ for a region of linear size $L$ in a Fermi liquid. The result contains a universal boundary law violating term simply related the more familiar entanglement…

Strongly Correlated Electrons · Physics 2012-10-03 Brian Swingle

The paramagnetic phase of the two-channel Kondo lattice model is examined with a Quantum Monte Carlo simulation in the limit of infinite dimensions. We find non-Fermi-liquid behavior at low temperatures including a finite low-temperature…

Condensed Matter · Physics 2009-10-28 M. Jarrell , Hanbin Pang , D. L. Cox , F. Anders , A. Chattopadhyay

We analyze a common feature of a nontrivial fractional flux periodicity in two-dimensional systems. We demonstrate that an addition of fractional flux can be absorbed into re-parameterization of quantum numbers. For an exact fractional…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Shuichi Murakami , Ken-ichi Sasaki , Riichiro Saito

Statistical fragment emission from excited nuclear systems is studied within the framework of a schematic Fermi-gas model combined with Weisskopf's detailed balance approach. The formalism considers thermal expansion of finite nuclear…

Nuclear Theory · Physics 2009-11-07 Jan Tõke , Jun Lu , W. Udo Schröder

We consider a model inspired by a metal break-junction hypothetically caught at its breaking point, where the non-adiabatic center-of-mass motion of the bridging atom can be treated as a two-level system. By means of Numerical…

Strongly Correlated Electrons · Physics 2009-11-13 P. Lucignano , G. E. Santoro , M. Fabrizio , E. Tosatti

For the general class of quasifree fermionic right mover/left mover systems over the infinitely extended two-sided discrete line introduced in [8] within the algebraic framework of quantum statistical mechanics, we study the von Neumann…

Mathematical Physics · Physics 2025-05-27 Walter H. Aschbacher

When a 2D superconductor is subjected to a strong in-plane magnetic field, Zeeman polarization of the Fermi surface can give rise to inhomogeneous FFLO order with a spatially modulated gap. Further increase of the magnetic field eventually…

Strongly Correlated Electrons · Physics 2018-07-17 Dimitri Pimenov , Ipsita Mandal , Francesco Piazza , Matthias Punk

The entropy of a thermally isolated system should not decrease after a quench or external driving. For a classical system following Hamiltonian dynamics, we show how this statement emerges for a large system in the sense that the extensive…

Statistical Mechanics · Physics 2020-12-24 Udo Seifert

We point out that the quasiparticle spectrum of the Landau Fermi liquid theory has an extra $Z_2$ symmetry, local in momentum space, which is not generic to the Hamiltonian with interactions. Thus the Fermi liquid is in this sense a…

Strongly Correlated Electrons · Physics 2007-05-23 Philip W. Anderson , F. Duncan M. Haldane