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Luttinger semimetals have quadratic band crossings at the Brillouin zone-center in three spatial dimensions. Coulomb interactions in a model that describes these systems stabilize a non-trivial fixed point associated with a non-Fermi liquid…

Strongly Correlated Electrons · Physics 2022-07-12 Ipsita Mandal , Hermann Freire

We provide solid evidence for the long-standing presumption that model Hamiltonians with short-range interactions faithfully reproduce the physics of the long-range Coulomb interaction in real materials. For this aim, we address a generic…

Strongly Correlated Electrons · Physics 2025-06-09 Florian Gebhard , Kevin Bauerbach , Örs Legeza

We investigate the influence of sub-Ohmic dissipation on randomly diluted quantum Ising and rotor models. The dissipation causes the quantum dynamics of sufficiently large percolation clusters to freeze completely. As a result, the…

Strongly Correlated Electrons · Physics 2012-08-23 Manal Al-Ali , José A. Hoyos , Thomas Vojta

We study the dynamics of a quantum-coherent thermally isolated Luttinger liquid with noisy Luttinger parameter. To characterize the fluctuations of the absorbed energy in generic noise-driven systems, we first identify two types of energy…

Quantum Gases · Physics 2013-05-03 Luca D'Alessio , Armin Rahmani

We form a highly simplified model of an atomic wire on a surface by the coupling of two one-dimensional chains, one with electron-electron interactions to represent the wire and and one with no electron-electron interactions to represent…

Strongly Correlated Electrons · Physics 2009-11-07 L. K. Dash , A. J. Fisher

We study a system consisting of a Luttinger liquid coupled to a quantum dot on the boundary. The Luttinger liquid is expressed in terms of fermions interacting via density-density coupling and the dot is modeled as an interacting resonant…

Strongly Correlated Electrons · Physics 2020-06-09 Colin Rylands , Natan Andrei

Using the adiabatic switching of interactions, we establish a condition for the existence of electronic quasiparticles in a Luttinger liquid. It involves a characteristic interaction strength proportional to the inverse square root of the…

Condensed Matter · Physics 2009-10-22 R. Mélin , B. Douçot , P. Butaud

Transport of single-channel spinless interacting fermions (Luttinger liquid) through a barrier has been studied by numerically exact quantum Monte Carlo methods. A novel stochastic integration over the real-time paths allows for direct…

Condensed Matter · Physics 2009-10-28 Kevin Leung , Reinhold Egger , C. H. Mak

We revise a phase diagram for the sliding Luttinger liquid (SLL) of coupled one-dimensional quantum wires packed in two- or three-dimensional arrays. We analyse whether physically justifiable (reasonable) inter-wire interactions, i.e.…

Strongly Correlated Electrons · Physics 2018-05-09 Victor Fleurov , Victor Kagalovsky , Igor V. Lerner , Igor V. Yurkevich

Many-body interactions play a crucial role in quantum topological systems, being able to impact or alter the topological classifications of non-interacting fermion systems. In open quantum systems, where interactions with the environment…

Strongly Correlated Electrons · Physics 2023-09-12 F. Pavan , A. de Candia , G. Di Bello , V. Cataudella , N. Nagaosa , C. A. Perroni , G. De Filippis

While the Hubbard model is the standard model to study Mott metal-insulator transitions, it is still unclear to which extent it can describe metal-insulator transitions in real solids, where non-local Coulomb interactions are always…

Strongly Correlated Electrons · Physics 2018-04-25 M. Schüler , E. G. C. P. van Loon , M. I. Katsnelson , T. O. Wehling

Experiments on quasi-one-dimensional systems such as quantum wires and metallic chains on surfaces suggest the existence of electron-electron interactions of substantial range and hence physics beyond the Hubbard model. We therefore…

Strongly Correlated Electrons · Physics 2012-05-31 Martin Hohenadler , Stefan Wessel , Maria Daghofer , Fakher F. Assaad

We study the dynamics of a heavy particle of mass $M$ moving in a one-dimensional repulsively interacting Fermi gas. The Fermi gas is described using the Luttinger model and bosonization. By transforming to a frame co-moving with the heavy…

Condensed Matter · Physics 2009-10-28 A. H. Castro Neto , Matthew P. A. Fisher

We consider a system of spinless fermions in a nearly one-dimensional cylindrical trap. We introduce four-fermion interaction terms through which particles in low-lying modes of the trap may interact with particles in radially or angularly…

Condensed Matter · Physics 2007-05-23 B. Altschul

We study a Luttinger Liquid in a finite one-dimensional wire with box-like boundary conditions by considering the local distribution of the single particle spectral weight. This corresponds to the experimental probability of extracting a…

Strongly Correlated Electrons · Physics 2009-11-10 Fabrizio Anfuso , Sebastian Eggert

A crossover theory connecting Altshuler-Aronov electron-electron interaction corrections and Luttinger liquid behavior in quasi-1D disordered conductors has been formulated. Based on an interacting non-linear sigma model, we compute the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Christophe Mora , Reinhold Egger , Alexander Altland

We model one-dimensional transport through each open channel of a quantum wire by a Luttinger liquid with three different interaction parameters for the leads, the contact regions and the wire, and with two barriers at the contacts. We show…

Strongly Correlated Electrons · Physics 2009-10-31 Siddhartha Lal , Sumathi Rao , Diptiman Sen

Using the exact Bethe ansatz solution of the Hubbard model and Luttinger liquid theory, we investigate the density profiles and collective modes of one-dimensional ultra-cold fermions confined in an optical lattice with a harmonic trapping…

Statistical Mechanics · Physics 2007-05-23 Xia-Ji Liu , Peter D. Drummond , Hui Hu

We consider a one-dimensional electron system, suitable for the description of the electronic correlations in a metallic carbon nanotube. Renormalization group methods are used to study the low-energy behavior of the unscreened Coulomb…

Strongly Correlated Electrons · Physics 2009-10-31 S. Bellucci , J. Gonzalez

We investigate the quantum dynamics of wave packets in a class of decorated lattices, both quasiperiodic and random, where a nominal quasi-one dimensionality is introduced at local levels, bringing in a deterministic or even random…

Disordered Systems and Neural Networks · Physics 2021-05-27 Arkajyoti Maity , Arunava Chakrabarti
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