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In one dimension density-density interactions of particles reduce their mobility and hence the Drude weight, which controls the divergence of the optical conductivity at zero frequency, decreases. We study effects of pair hopping events on…

Strongly Correlated Electrons · Physics 2023-12-13 M. S. Bahovadinov , R. O. Sharipov , B. L. Altshuler , G. V. Shlyapnikov

We investigate the effect of next nearest-neighbour hopping on the zero temperature Drude weight or superfluidity in mesoscopic one-dimensional systems of (a) single particle with quasidisorder (Aubry-Andr\'e model) and (b) hardcore bosons…

Strongly Correlated Electrons · Physics 2015-07-22 Vipin Kerala Varma , Ramsés Sánchez

We study the response to an applied flux of an interacting system of Dirac-Weyl fermions confined in a one-dimensional (1D) ring. Combining analytical calculations with density-matrix renormalization group results, we show that tuning of…

Quantum Gases · Physics 2018-01-10 Manon Bischoff , Johannes Jünemann , Marco Polini , Matteo Rizzi

Flatband systems form a new class of materials that challenge the conventional wisdom of transport. The intrinsically strong electronic correlations combined with the vanishing kinetic energy scale suggest a sensitive dependence of…

Strongly Correlated Electrons · Physics 2025-02-03 Ohad Antebi , Johannes Mitscherling , Tobias Holder

Fermion systems with flat bands can boost superconductivity by enhancing the density of states at the Fermi level. We use quasiexact numerical methods to show that repulsive interactions between spinless fermions in a one-dimensional (1D)…

Strongly Correlated Electrons · Physics 2022-10-12 Iman Mahyaeh , Thomas Köhler , Annica M. Black-Schaffer , Adrian Kantian

Understanding charge transport in strongly correlated systems remains a central challenge in condensed matter physics, particularly in light of the ubiquitous linear-in-$T$ resistivity observed in strange metals across many platforms from…

Strongly Correlated Electrons · Physics 2026-04-06 Shuo Liu , Yuhao Ma , Hitesh J. Changlani , Philip W. Phillips , B. Andrei Bernevig

We calculate the charge and spin Drude weight of the one-dimensional extended Hubbard model with on-site repulsion $U$ and nearest-neighbor repulsion $V$ at quarter filling using the density-matrix renormalization group method combined with…

Strongly Correlated Electrons · Physics 2015-05-13 T. Shirakawa , E. Jeckelmann

On the basis of the Fermi liquid theory, we investigate the many-body effect on the Drude weight. In a lattice system, the Drude weight $D$ is modified by electron-electron interaction due to Umklapp processes, while it is not renormalized…

Condensed Matter · Physics 2009-10-31 Takuya Okabe

A many-electron conducting system undergoes free acceleration in response to a macroscopic field. The Drude weight $D$---also called charge stiffness---measures the adiabatic (inverse) inertia of the electrons; the $D$ formal expression…

Mesoscale and Nanoscale Physics · Physics 2020-11-23 Gabriele Bellomia , Raffaele Resta

We study the transport properties of one-dimensional (1D) interacting Fermions through a barrier by numerically calculating the Kohn charge stiffness constant and the relative Drude weight. We find that the transport properties of the 1D…

Condensed Matter · Physics 2009-10-22 Q. P. Li , X. C. Xie

Integrable and non-integrable systems have very different transport properties. In this work, we highlight these differences for specific one dimensional models of interacting lattice fermions using numerical exact diagonalization. We…

Strongly Correlated Electrons · Physics 2013-05-29 Subroto Mukerjee , B. Sriram Shastry

The Drude weight of the Hubbard model on the two-dimensional square lattice is studied by the exact diagonalizations applied to clusters up to 20 sites. We carefully examine finite-size effects by consideration of the appropriate shapes of…

Strongly Correlated Electrons · Physics 2011-02-17 Hiroki Nakano , Yoshinori Takahashi , Masatoshi Imada

Ballistic transport of a quantum system can be characterized by Drude weight, which quantifies the response of the system to a uniform electric field in the infinitely long timescale. The Drude weight is often discussed in terms of the Kohn…

Mesoscale and Nanoscale Physics · Physics 2023-02-23 Kazuaki Takasan , Masaki Oshikawa , Haruki Watanabe

We demonstrate that the plasmon frequency and Drude weight of the electron liquid in a doped graphene sheet are strongly renormalized by electron-electron interactions even in the long-wavelength limit. This effect is not captured by the…

Mesoscale and Nanoscale Physics · Physics 2011-07-19 Saeed H. Abedinpour , G. Vignale , A. Principi , Marco Polini , Wang-Kong Tse , A. H. MacDonald

Dynamical properties are notoriously difficult to compute in numerical treatments of the Fermi-Hubbard model, especially in two spatial dimensions. However, they are essential in providing us with insight into some of the most important and…

Strongly Correlated Electrons · Physics 2026-02-04 Linh Pham , Ehsan Khatami

We continue to study frequency-dependent complex bulk viscosities of one-dimensional Bose and Fermi gases with contact interactions, which exhibit the weak-strong duality according to our recent work. Here we show that they are contributed…

Quantum Gases · Physics 2022-12-22 Yusuke Nishida

The Drude weight $D$ and the dc-conductivity $\sigma_{dc} (T)$ of strongly correlated electrons are investigated theoretically. Analytic results are derived for the homogeneous phase of the Hubbard model in $d = \infty$ dimensions, and for…

Condensed Matter · Physics 2009-10-28 G. Uhrig , D. Vollhardt

We illustrate how finite-temperature charge and thermal Drude weights of one-dimensional systems can be obtained from the relaxation of initial states featuring global (left-right) gradients in the chemical potential or temperature. The…

Strongly Correlated Electrons · Physics 2017-03-20 C. Karrasch

We use unbiased computational methods to elucidate the onset and properties of pair superfluidity in two-species fermionic and bosonic systems with onsite interspecies attraction loaded in one-dimensional optical lattice. We compare results…

Quantum Gases · Physics 2021-07-14 B. Grémaud , G. G. Batrouni

In the absence of frustration, interacting bosons in the ground state exist either in the superfluid or insulating phases. Superfluidity corresponds to frictionless flow of the matter field, and in optical conductivity is revealed through a…

Disordered Systems and Neural Networks · Physics 2022-05-04 Guido Masella , Nikolay V. Prokof'ev , Guido Pupillo
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