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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

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 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

The attractive Hubbard model plays a paradigmatic role in the study of superconductivity (superfluidity) and has become directly realizable in ultracold atom experiments on optical lattices. However, the critical temperatures, $T_c$'s,…

Superconductivity · Physics 2026-03-05 Rodrigo A. Fontenele , Natanael C. Costa , Thereza Paiva , Raimundo R. dos Santos

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

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 reveal interesting universal transport behavior of ordered one-dimensional fermionic systems with power-law hopping. We restrict ourselves to the case where the power-law decay exponent $\alpha>1$, so that the thermodynamic limit is…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Madhumita Saha , Archak Purkayastha , Santanu K. Maiti

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

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

We study the effects of assisted tunneling or correlated hopping between next nearest neighbours in a two species Bose-Hubbard system. The system is the bosonic analong of the fermionic system studied in Phys. Rev. Lett. {\bf 116}, 225303…

Quantum Gases · Physics 2020-10-26 Julia Stasińska , Ravindra W. Chhajlany , Omjyoti Dutta , Maciej Lewenstein

The interplay between charge stripes and pairing has long been a subject of scrutiny in a broad class of unconventional superconductors, as in some cases it is unclear whether this interplay benefits the ensuing superfluidity. Experiments…

Strongly Correlated Electrons · Physics 2026-03-16 Jianhao Sun , Richard T. Scalettar , Rubem Mondaini

We develop a theory for the optical conductivity of doped multilayer graphene including the effects of electron-electron interactions. Applying the quantum kinetic formalism, we formulate a set of pseudospin Bloch equations that governs the…

Mesoscale and Nanoscale Physics · Physics 2018-04-03 Xiao Li , Wang-Kong Tse

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

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

Non-reciprocity and geometric frustration enable many-body systems to avoid crystalline order and instead exhibit complex, liquid-like behavior. Here we show that their interplay is richer than the sum of its parts, leading to surprising…

Statistical Mechanics · Physics 2026-04-07 Nilotpal Chakraborty , Anton Souslov , Claudio Castelnovo

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

We study the one-dimensional Bose-Hubbard model using the Density-Matrix Renormalization Group (DMRG).For the cases of on-site interactions and additional nearest-neighbor interactions the phase boundaries of the Mott-insulators and charge…

Superconductivity · Physics 2009-10-31 Till D. Kuehner , Steven R. White , H. Monien

In many physical and biological systems, particles and microorganisms move in the proximity of an interface. Understanding the dynamics of a particle suspended close to an interface is not only important conceptually but is crucial for…

Soft Condensed Matter · Physics 2022-05-18 Mehdi Shaffei Aporvari , Agnese Callegari , Emine Ulku Saritas

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

We study the ground state properties of the geometrically frustrated Hubbard model on the anisotropic checkerboard lattice with nearest-neighbor hopping $t$ and next nearest-neighbor hopping $t'$. By using the path-integral renormalization…

Strongly Correlated Electrons · Physics 2009-11-13 Takuya Yoshioka , Akihisa Koga , Norio Kawakami
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