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We study the effect of quantum geometry on the many-body ground state of one-dimensional interacting bosonic systems. We find that the Drude weight is given by the sum of the kinetic energy and a term proportional to the many-body quantum…

Quantum Gases · Physics 2023-10-18 Grazia Salerno , Tomoki Ozawa , Päivi Törmä

We analyze the Drude weight for both spin and thermal transport of one-dimensional spin-1/2 systems by means of exact diagonalization at finite temperatures. While the Drude weights are non-zero for finite systems, we find indications of a…

Strongly Correlated Electrons · Physics 2015-03-03 F. Heidrich-Meisner , A. Honecker , D. C. Cabra , W. Brenig

For finite systems, the real part of the conductivity is usually decomposed as the sum of a zero frequency delta peak and a finite frequency regular part. In studies with periodic boundary conditions, the Drude weight, i.e., the weight of…

Strongly Correlated Electrons · Physics 2008-04-11 Marcos Rigol , B. Sriram Shastry

Using conformal field theory calculations of the energy spectrum, within the XXZ model we investigate effects of the flux insertion and the Umklapp term. We discuss two approaches to the evaluation of the Drude weight, the first…

Statistical Mechanics · Physics 2022-01-05 Yoshiki Fukusumi , Osor S. Barišić

Non-ergodic dynamical systems display anomalous transport properties. A prominent example are integrable quantum systems, whose exceptional property are diverging DC conductivities. In this Letter, we explain the microscopic origin of ideal…

Statistical Mechanics · Physics 2017-07-26 Enej Ilievski , Jacopo De Nardis

We study the charge conductivity of the one-dimensional repulsive Hubbard model at finite temperature using the method of dynamical quantum typicality, focusing at half filling. This numerical approach allows us to obtain current…

Strongly Correlated Electrons · Physics 2015-11-05 F. Jin , R. Steinigeweg , F. Heidrich-Meisner , K. Michielsen , H. De Raedt

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 study the thermal conductivity of the one-dimensional Fermi-Hubbard model at finite temperature using a density matrix renormalization group approach. The integrability of this model gives rise to ballistic thermal transport. We…

Strongly Correlated Electrons · Physics 2016-09-14 C. Karrasch , D. M. Kennes , F. Heidrich-Meisner

We establish a general connection between ballistic and diffusive transport in systems where the ballistic contribution in canonical ensemble vanishes. A lower bound on the Green-Kubo diffusion constant is derived in terms of the curvature…

Statistical Mechanics · Physics 2017-08-29 Marko Medenjak , Christoph Karrasch , Tomaz Prosen

We investigate the Drude weight and the related Mazur-Suzuki (MS) bound in a broad variety of strongly coupled field theories with a gravity dual at finite temperature and chemical potential. We revisit the derivation of the recently…

High Energy Physics - Theory · Physics 2016-04-06 Antonio M. García-García , Aurelio Romero-Bermúdez

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

We calculate the Drude weight in the superfluid (SF) and the supersolid (SS) phases of hard core boson (HCB) model using stochastic series expansion (SSE). We demonstrate from our numerical calculations that the normal phase of HCBs in two…

Other Condensed Matter · Physics 2016-10-14 Gourab Majumder , Arti Garg

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

The use of hydrodynamic transport theory seems to indicate that the charge diffusion constant D of the one-dimensional (1D) half-filled Hubbard model, whose Drude weight vanishes, diverges for temperature T>0, which would imply anomalous…

Strongly Correlated Electrons · Physics 2024-11-19 J. M. P. Carmelo , P. D. Sacramento

We study the Drude weight $D(T)$ at finite temperatures $T$ of an integrable bosonic model where the particles interact via nearest-neighbour coupling on a chain. At low temperatures, $D(T)$ is shown to be universal in the sense that this…

Statistical Mechanics · Physics 2009-11-11 Michael Bortz

We present results for the zero and finite temperature Drude weight D(T) and for the Meissner fraction of the attractive and the repulsive Hubbard model, as well as for the model with next nearest neighbor repulsion. They are based on…

Strongly Correlated Electrons · Physics 2007-05-23 S. Kirchner , H. G. Evertz , W. Hanke

We study thermal transport in one dimensional spin systems both in the presence and absence of impurities. In the absence of disorder, all these spin systems display a temperature dependent Drude peak in the thermal conductivity. In gapless…

Strongly Correlated Electrons · Physics 2007-05-23 E. Orignac , R. Chitra , R. Citro

We conduct a comprehensive study of anomalous charge transport in the quantum sine--Gordon model. Employing the framework of Generalized Hydrodynamics, we compute Drude weights and Onsager matrices across a wide range of coupling strengths…

Statistical Mechanics · Physics 2026-01-23 Frederik Møller , Botond C. Nagy , Márton Kormos , Gábor Takács

Kohn's theory of Drude conductivity, established in a many-body framework, addresses even systems with disorder and correlation, besides the ordinary band metals (i.e. crystalline systems of independent electrons). Kohn's theory is here…

Materials Science · Physics 2021-11-25 Raffaele Resta

In classical Drude theory the conductivity is determined by the mass of the propagating particles and the mean free path between two scattering events. For a quantum particle this simple picture of diffusive transport loses relevance if…

Strongly Correlated Electrons · Physics 2015-05-13 A Alvermann , D M Edwards , H Fehske