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We study the two-dimensional Potts model on the square lattice in the presence of quenched random-bond impurities. For q>4 the first-order transitions of the pure model are softened due to the impurities, and we determine the resulting…

Statistical Mechanics · Physics 2015-06-25 Jesper Lykke Jacobsen , John Cardy

A general theory is developed to describe graphene with arbitrary number of isolated impurities. The theory provides a basis for an efficient numerical analysis of the charge transport and is applied to calculate the minimal conductivity of…

Mesoscale and Nanoscale Physics · Physics 2011-03-28 P. M. Ostrovsky , M. Titov , S. Bera , I. V. Gornyi , A. D. Mirlin

Nonequilibrium transport properties are determined exactly for an adiabatically connected single channel quantum wire containing one impurity. Employing the Luttinger liquid model with interaction parameter $g$, for very strong interactions…

Condensed Matter · Physics 2009-10-31 R. Egger , H. Grabert , A. Koutouza , H. Saleur , F. Siano

We investigate the spin chain model composed of periodic array of two kinds of spins $S_1$ and $S_2$, which allows us to study the spin chains with impurities as well as the alternating spin chains in a unified fashion. By using the…

Statistical Mechanics · Physics 2009-10-30 T. Fukui , N. Kawakami

The occurrence of two-particle inelastic backscattering has been conjectured in helical edge states of topological insulators and is expected to alter transport. In this Letter, by using a renormalization group approach, we provide a…

Mesoscale and Nanoscale Physics · Physics 2012-10-29 François Crépin , Jan Carl Budich , Fabrizio Dolcini , Patrik Recher , Björn Trauzettel

The reptation concept in polymer dynamics is studied for model chains with added stiffness. The main idea of a chain diffusing inside a tube can be transferred from fully flexible chains. However, the picture, which renormalizes the chain…

Soft Condensed Matter · Physics 2007-05-23 Roland Faller , Florian Mueller-Plathe

We investigate the phase diagram of the one-dimensional repulsive Hubbard model with mass imbalance. Using DMRG, we show that this model has a "triplet" paired phase (dubbed $\pi \mathrm{SG}$) at generic fillings, consistent with previous…

Strongly Correlated Electrons · Physics 2021-11-22 Yuchi He , David Pekker , Roger S. K. Mong

The effect of quenched impurities on systems which undergo first-order phase transitions is studied within the framework of the q-state Potts model. For large q a mapping to the random field Ising model is introduced which provides a simple…

Statistical Mechanics · Physics 2009-10-30 John Cardy , Jesper Lykke Jacobsen

The traditional multichannel Kondo effect takes place when several gapless metallic electronic channels interact with a localized spin-$S$ impurity, with the number of channels $n$ exceeding the size of the impurity spin, $n>2S$, leading to…

Strongly Correlated Electrons · Physics 2025-12-16 Pradip Kattel , Abay Zhakenov , Natan Andrei

When a viscous fluid partially fills a Hele--Shaw channel, and is pushed by a pressure difference, the fluid interface is unstable due to the Saffman--Taylor instability. We consider the evolution of a fluid region of finite extent, bounded…

Fluid Dynamics · Physics 2024-05-20 Michael C Dallaston , Michael J W Jackson , Liam C Morrow , Scott W McCue

We study the influence of a magnetic impurity or ultrasmall quantum dot on the charge persistent current of a mesoscopic ring. The system consists of electrons in a one-dimensional ring threaded by spin-dependent Aharonov-Bohm/Casher…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. -P. Eckle , H. Johannesson , C. A. Stafford

We investigate the charge-instabilities of the Hubbard-Holstein model with two coupled layers. In this system the scattering processes naturally separate into contributions which are either symmetric or antisymmetric combinations with…

Strongly Correlated Electrons · Physics 2009-11-10 G. Seibold

We consider the problem of screening of an electrically charged impurity in a clean graphene sheet. When electron-electron interactions are neglected, the screening charge has a sign opposite to that of the impurity, and is localized near…

Strongly Correlated Electrons · Physics 2007-11-29 Rudro R. Biswas , Subir Sachdev , Dam T. Son

We theoretically investigate the impurity levels and exchange interaction between magnetic impurities in graphene driven by an off-resonant circularly polarized light field. Our analysis captures the non-perturbative effects resulting from…

Mesoscale and Nanoscale Physics · Physics 2022-08-29 Modi Ke , Wang-Kong Tse

We investigate the effects of spatial inhomogeneities on the entanglement of modes of strongly correlated systems in the framework of small Fermi-Hubbard chains. We find regimes where entanglement is strongly enhanced by the presence of…

Quantum Physics · Physics 2013-03-12 Tobias Bruenner , Erich Runge , Andreas Buchleitner , Vivian V. Franca

Dynamics of two particles with short range repulsive or attractive interaction is studied numerically in the Harper model. It is shown that interaction leads to appearance of localized states and pure-point spectrum component in the case…

Condensed Matter · Physics 2009-10-28 D. L. Shepelyansky

The multichannel Kondo model supports effective anyons on the partially screened impurity, as suggested by its fractional impurity entropy. It was recently demonstrated for the multi-impurity chiral Kondo model, that scattering of an…

Strongly Correlated Electrons · Physics 2022-04-26 Dor Gabay , Cheolhee Han , Pedro L. S. Lopes , Ian Affleck , Eran Sela

We study a quantum quench in which a magnetic impurity is suddenly coupled to Hubbard chains, whose low-energy physics is described by Tomonaga-Luttinger liquid theory. Using the time-dependent density-matrix renormalization-group (tDMRG)…

Strongly Correlated Electrons · Physics 2021-03-31 Helena Bragança , Moallison F. Cavalcante , R. G. Pereira , Maria C. O. Aguiar

The critical behaviour of thin films containing quenched random impurities and inhomogeneities is investigated by the renormalization-group method. The finite-size crossover in impure films has been considered on the basis of the…

Statistical Mechanics · Physics 2015-06-25 L. Craco , L. De Cesare , I. Rabuffo , I. P. Takov , D. I. Uzunov

Magnetic and charge susceptibilities of the two-dimensional repulsive Hubbard model are investigated applying a strong coupling diagram technique in which the expansion in powers of the hopping constants is used. For small lattices and high…

Strongly Correlated Electrons · Physics 2009-11-13 A Sherman , M Schreiber