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We investigate localization and persistent currents in a helical tight-binding lattice subject to two independent magnetic fluxes and a quasiperiodic on-site potential. Working with non-interacting, spinless fermions under periodic boundary…

Disordered Systems and Neural Networks · Physics 2025-12-23 Taylan Yildiz , B. Tanatar

A new diagrammatic method, which is a reformulation of Berezinskii's technique, is constructed to study the density of electronic states $\rho(\epsilon,\phi)$ of a one-channel weakly disordered ring, threaded by an external magnetic flux.…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 E. P. Nakhmedov , H. Feldmann , R. Oppermann

A one-dimensional electron system at quarter-filling has been examined by applying the renormalization group method to a bosonized model with on-site (U) and nearest-neighbor (V) repulsive interactions. By evaluating both normal scattering…

Strongly Correlated Electrons · Physics 2009-10-31 Hideo Yoshioka , Masahisa Tsuchiizu , Yoshikazu Suzumura

We study the persistent current and the Drude weight of a system of spinless fermions, with repulsive interactions and a hopping impurity, on a mesoscopic ring pierced by a magnetic flux, using a Density Matrix Renormalization Group…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 F. Carvalho Dias , I. R. Pimentel , M. Henkel

Typical persistent current ($I_{typ}$) in a normal metal ring with disorder due to random grain boundaries and rough edges is calculated microscopically. If disorder is due to the rough edges, a ballistic current $I_{typ}\simeq e v_F/L$ is…

Mesoscale and Nanoscale Physics · Physics 2012-12-17 J. Feilhauer , M. Mosko

We re-examine the effect of electron-electron interactions on the persistent current in mesoscopic metal rings threaded by an Aharonov-Bohm flux. The exchange contribution to the current is shown to be determined by the weak localization…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Peter Kopietz , Axel Voelker

We study the persistent current of correlated spinless electrons in a continuous one-dimensional ring with a single weak link. We include correlations by solving the many-body Schrodinger equation for several tens of electrons interacting…

Mesoscale and Nanoscale Physics · Physics 2009-02-16 R. Németh , M. Moško , R. Krčmár , A. Gendiar , M. Indlekofer , L. Mitas

In a tight binding framework, we analyze the characteristics of electronic states in strongly disordered materials (hopping sites are placed randomly with no local order) with tunneling matrix elements decaying exponentially in the atomic…

Materials Science · Physics 2012-02-01 D. J. Priour

We analyze intermittence and roughening of an elastic interface or domain wall pinned in a periodic potential, in the presence of random-bond disorder in (1+1) and (2+1) dimensions. Though the ensemble average behavior is smooth, the…

Statistical Mechanics · Physics 2009-10-31 E. T. Seppälä , M. J. Alava , P. M. Duxbury

Non-interacting systems with bounded disorder have been shown to exhibit sharp density of states peaks at the band edge which coincide with an energy range of abruptly suppressed localization. Recent work has shown that these features also…

Strongly Correlated Electrons · Physics 2016-04-20 P. Daley , R. Wortis

We numerically study the effect of adding quenched disorder in the form of randomly placed pinning sites on jamming transitions in systems that jam at a well defined point J in the clean limit. Quenched disorder decreases the jamming…

Soft Condensed Matter · Physics 2015-06-04 C. J. Olson Reichhardt , E. Groopman , Z. Nussinov , C. Reichhardt

For a system of spinless fermions in a disordered mesoscopic ring, interactions can give rise to an enhancement of the persistent current by orders of magnitude. The increase in the current is associated with a charge reorganization of the…

Strongly Correlated Electrons · Physics 2009-10-31 A. Kambili , C. J. Lambert , J. H. Jefferson

We analyze fluctuations of persistent current (PC) produced by a charged quantum particle moving in a ring and interacting with a dissipative environment formed by diffusive electron gas. We demonstrate that in the presence of interactions…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Andrew G. Semenov , Andrei D. Zaikin

We study the effects of disorder on a system of two coupled chain of strongly correlated fermions (ladder system), using renormalization group. The stability of the phases of the pure system is investigated as a function of interactions…

Strongly Correlated Electrons · Physics 2009-10-30 E. Orignac , T. Giamarchi

We present some model calculations of persistent currents in disordered one- and two-dimensional mesoscopic systems. We use the tight-binding model and calculate numerically the currents in small systems for several values of disorder. Next…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Lisowski , E. Zipper

Persistent and radiation-induced currents in distorted narrow quantum rings are theoretically investigated. We show that ring distorsions can be described using a geometrical potential term. We analyse the effect of this term on the current…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuriy V. Pershin , Carlo Piermarocchi

We study, using Monte Carlo simulations, the steady state properties of a system of particles interacting via hard core exclusion and moving in a discrete flashing disordered ratchet potential. Quenched disorder is introduced by breaking…

Statistical Mechanics · Physics 2015-10-28 Jim Chacko , Goutam Tripathy

We explore the role of electron correlation in quasi one dimensional quantum wires as the range of the interaction potential is changed and their thickness is varied by performing exact quantum Monte Carlo simulations at various electronic…

Strongly Correlated Electrons · Physics 2009-11-13 L. Shulenburger , M. Casula , G. Senatore , R. M. Martin

We investigate the interplay of disorder and interaction in two-dimensional electron systems in a strong magnetic field, focusing on the transition between Wigner crystals and fractional quantum Hall liquids. We first study classical Wigner…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Ke Huang , Sankar Das Sarma , Xiao Li

The calculation of the full counting statistics of the charge within a finite interval of an interacting one-dimensional system of electrons is a fundamental, yet as of now unresolved problem. Even in the non-interacting case, charge…

Strongly Correlated Electrons · Physics 2024-03-11 Oleksiy Kashuba , Thomas L. Schmidt , Fabian Hassler , Andreas Haller , Roman P. Riwar