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We study graphene-based electron systems with long-range Coulomb interaction by performing an analytic continuation in the number of dimensions. We characterize in this way the crossover between the marginal Fermi liquid behavior of a…

强关联电子 · 物理学 2009-11-07 S. Bellucci , J. Gonzalez

Haldane hypothesis about the universality of Luttinger liquid (LL) behavior in conducting one-dimensional (1D) fermion systems is checked numerically for spinless fermion model with next-nearest-neighbor interactions. It is shown that for…

强关联电子 · 物理学 2009-10-31 A. K. Zhuravlev , M. I. Katsnelson

We study the problem of the crossover from one- to higher-dimensional metals by considering an array of Luttinger liquids (one-dimensional chains) coupled by a weak interchain hopping {\tp.} We evaluate the exact asymptotic low-energy…

强关联电子 · 物理学 2009-10-31 E. Arrigoni

Free fermions with a finite Fermi surface are known to exhibit an anomalously large entanglement entropy. The leading contribution to the entanglement entropy of a region of linear size $L$ in $d$ spatial dimensions is $S\sim L^{d-1}…

强关联电子 · 物理学 2012-10-03 Brian Swingle

Ultracold atomic Fermi gases in two-dimensions (2D) are an increasingly popular topic of research. The interaction strength between spin-up and spin-down particles in two-component Fermi gases can be tuned in experiments, allowing for a…

量子气体 · 物理学 2017-10-31 Alexander Galea , Tash Zielinski , Stefano Gandolfi , Alexandros Gezerlis

Recent experimental and theoretical work in strongly correlated electron system necessitates a formulation to deal with 1d to 2d dimensional crossover and raises several interesting questions. A particularly interesting question is what…

强关联电子 · 物理学 2007-05-23 Sher Alam , M. O. Rahman

Cold interacting fermions in two dimensions form exactly solvable Luttinger liquids, whose characteristic scaling exponents differ from those of conventional Fermi liquids. We use the AdS/CFT correspondence to discuss an equivalence between…

高能物理 - 理论 · 物理学 2013-05-29 Vijay Balasubramanian , Iñaki García-Etxebarria , Finn Larsen , Joan Simón

We present a class of one-dimensional generic spinless fermion lattice Hamiltonians that express quasi-Fermi liquid physics, manifesting both Luttinger and Fermi liquid features due to solely irrelevant interactions. Using infinite matrix…

强关联电子 · 物理学 2025-10-28 Joshua D. Baktay , Adrian E. Feiguin , Julian Rincon

With particular reference to the role of the renormalization group approach and Ward identities, we start by recalling some old features of the one-dimensional Luttinger liquid as the prototype of non-Fermi-liquid behavior. Its dimensional…

强关联电子 · 物理学 2015-06-05 C. Di Castro , S. Caprara

We present numerical evidence for a paradigm in one-dimensional interacting fermion systems, whose phenomenology has traits of both Luttinger liquids and Fermi liquids. This state, dubbed a quasi-Fermi liquid, possesses a discontinuity in…

强关联电子 · 物理学 2024-02-05 Joshua D. Baktay , Alexander V. Rozhkov , Adrian E. Feiguin , Julian Rincon

We provide strong evidence that the relaxation dynamics of one-dimensional, metallic Fermi systems resulting out of an abrupt amplitude change of the two-particle interaction has aspects which are universal in the Luttinger liquid sense:…

强关联电子 · 物理学 2013-01-11 C. Karrasch , J. Rentrop , D. Schuricht , V. Meden

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…

强关联电子 · 物理学 2007-05-23 Sergio Gaudio , Jason Jackiewicz , Kevin S. Bedell

Motivated by recent work of Mross and Senthil [Phys. Rev. B \textbf{84}, 165126 (2011)] which provides a dual description for Mott transition from Fermi liquid to quantum spin liquid in two space dimensions, we extend their approach to…

强关联电子 · 物理学 2013-06-10 Yin Zhong , Ke Liu , Hong-Gang Luo

In this paper we complete the first step, namely the uniform bound on completely convergent contributions, towards proving that a three dimensional interacting system of Fermions is a Fermi liquid in the sense of Salmhofer. The analysis…

超导电性 · 物理学 2015-06-24 M. Disertori , J. Magnen , V. Rivasseau

We consider conditions for existence of fermionic quasiparticles in a strongly anisotropic quasi-one-dimensional metal. The adopted model is a model of chains of spin-1/2 Luttinger liquid coupled by small interchain hopping. It is shown…

凝聚态物理 · 物理学 2008-02-03 A. M. Tsvelik

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…

凝聚态物理 · 物理学 2016-08-31 J. Schmalian , M. Langer , S. Grabowski , K. H. Bennemann

We model the one-dimension (1D) to three-dimension (3D) crossover in a cylindrically trapped Fermi gas with attractive interactions and spin-imbalance. We calculate the mean-field phase diagram, and study the relative stability of exotic…

量子气体 · 物理学 2016-12-22 Shovan Dutta , Erich J. Mueller

Although the concept of Luttinger liquid (LL) that describes a one-dimensional (1D) interacting fermion system collapses in higher dimensions, it has been proposed to be closely related to many mysteries including the normal state of…

We consider an isotropic spin-degenerate interacting uniform $D$-dimensional electron gas (DDEG) with $D > 1$ within the Luttinger-Ward (LW) formalism. We derive the asymptotically exact semiclassical/infrared limit of the LW functional at…

强关联电子 · 物理学 2024-02-27 D. Miserev , J. Klinovaja , D. Loss

We calculate using perturbative calculations and Ward identities the basic parameters of the Fermi Liquid: the scattering vertex, the Landau interaction function, the effective mass, specific heat, and physical susceptibilities for a model…

强关联电子 · 物理学 2009-11-07 Gennady Y. Chitov , Andrew J. Millis