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Quantum acoustics -- a recently developed framework parallel to quantum optics -- establishesa nonperturbative and coherent treatment of the electron-phonon interaction in real space. The quantum-acoustical representation reveals a…

Quantum Physics · Physics 2024-07-12 J. Keski-Rahkonen , X. -Y. Ouyang , S. Yuan , A. M. Graf , A. Aydin , E. J. Heller

In strictly one-dimensional systems, repulsive interactions tend to reduce particle mobility on a lattice. Therefore, the Drude weight, controlling the divergence at zero-frequency of optical conductivities in perfect conductors, is lower…

Quantum Gases · Physics 2020-04-29 Andreas Haller , Matteo Rizzi , Michele Filippone

We explore the possibility of quantum liquids that are compressible but have vanishing DC conductivity in the absence of disorder. We show that the composite Fermi liquid emerging from strong interaction in a generic Chern band has zero…

Strongly Correlated Electrons · Physics 2025-05-05 Ahmed Abouelkomsan , Nisarga Paul , Ady Stern , Liang Fu

The Drude weight for the one-dimensional Hubbard model is investigated at finite temperatures by using the Bethe ansatz solution. Evaluating finite-size corrections to the thermodynamic Bethe ansatz equations, we obtain the formula for the…

Strongly Correlated Electrons · Physics 2009-10-30 Satoshi Fujimoto , Norio Kawakami

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

We analyze the uniform conductivity of a one dimensional degenerate fermion system placed in a random disorder potential so smooth that backward scattering can be neglected. We use the nonlinear Luttinger liquid model to consider effects of…

Strongly Correlated Electrons · Physics 2025-07-31 A. A. Dontsov , D. N. Aristov , A. P. Dmitriev

Non-analytic Bloch eigenstates at isolated band degeneracy points exhibit singular behavior in the quantum metric. Here, a description of superfluid weight for zero-energy flat bands in proximity to other high-energy bands is presented,…

Superconductivity · Physics 2026-01-19 Guodong Jiang , Päivi Törmä , Yafis Barlas

Drude weight of optical conductivity is calculated at zero temperature by exact diagonalization for the two-dimensional t-J model with the two-particle term, $W$. For the ordinary t-J model with $W$=0, the scaling of the Drude weight $D…

Strongly Correlated Electrons · Physics 2009-10-31 Hirokazu Tsunetsugu , Masatoshi Imada

We study the influence of reflective boundaries on time-dependent responses of one-dimensional quantum fluids at zero temperature beyond the low-energy approximation. Our analysis is based on an extension of effective mobile impurity models…

Strongly Correlated Electrons · Physics 2016-06-01 I. S. Eliëns , F. B. Ramos , J. C. Xavier , R. G. Pereira

Drude weight ($D$) is a useful measure to distinguish a metal from an insulator. However, $D$ has not been justifiably estimated by the variation theory for long, since Millis and Coppersmith [Phys. Rev. B 43 (1991) 13770] pointed out that…

Strongly Correlated Electrons · Physics 2016-05-31 Shun Tamura , Hisatoshi Yokoyama

The optical conductivity of a d-CDW conductor is calculated for electrons on a square lattice and a nearest-neighbor charge-charge interaction using the lowest-order conserving approximation. The spectral properties of the Drude-like peak…

Strongly Correlated Electrons · Physics 2007-05-23 D. N. Aristov , R. Zeyher

The scope of this work is to propose a method for testing the integrability of a model partial differential (PDE) and/or differential difference equation (DDE). For monoparametric families of PDE/DDE's, that are known to possess isolated…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 Panayotis G. Kevrekidis , Niurka R. Quintero

We study the electrical response of a wide class of strange metal phases without quasiparticles at finite temperature and charge density, with explicitly broken translational symmetry, using holography. The low frequency electrical…

High Energy Physics - Theory · Physics 2015-03-17 Andrew Lucas

Owing to the fact that the particle current operator in non-relativistic gases is proportional to the total momentum operator, the particle transport in such systems is always ballistic and fully characterized by a Drude weight $\Delta$.…

Quantum Gases · Physics 2025-12-23 Frank Göhmann , Andreas Klümper , Karol K. Kozlowski

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

Transport properties play a crucial role in defining materials as insulators, metals, or superconductors. A fundamental parameter in this regard is the Drude weight, which quantify the ballistic transport of charge carriers. In this work,…

We analyse the finite temperature charge stiffness D(T>0), by a generalization of Kohn's method, for the problem of a particle interacting with a fermionic bath in one dimension. We present analytical evidence, using the Bethe ansatz…

Condensed Matter · Physics 2009-10-22 H. Castella , X. Zotos , P. Prelovsek

Flat-band superconductivity has theoretically demonstrated the importance of band topology to correlated phases. In two dimensions, the superfluid weight, which determines the critical temperature through the Berezinksii-Kosterlitz-Thouless…

Mesoscale and Nanoscale Physics · Physics 2022-03-14 Jonah Herzog-Arbeitman , Valerio Peri , Frank Schindler , Sebastian D. Huber , B. Andrei Bernevig

Persistent currents and Drude weights are investigated for the tight-binding approximation to one-dimensional rings threaded by a magnetic flux and with potential given by some almost-periodic substitution sequences with different degrees…

Disordered Systems and Neural Networks · Physics 2009-11-07 Giancarlo Queiroz Pellegrino

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