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A central property of Chern insulators is the robustness of the topological phase and edge states to impurities in the system. Despite this, Chern number cannot be straightforwardly calculated in the presence of disorder. Recently, work has…

Strongly Correlated Electrons · Physics 2022-10-20 Peru d'Ornellas , Ryan Barnett , Derek K. K. Lee

The degenerate free Fermi gas coupled to a random potential is used to compute a.c. conductivity in various dimensions. We first formally diagonalise the hamiltonian using an appropriate basis that is a functional of the disorder potential.…

Strongly Correlated Electrons · Physics 2007-05-23 Girish S. Setlur

Kubo formulas for Hall, transverse thermoelectric and thermal Hall conductivities are simplified into on-shell commutators of degeneracy projected polarizations. The new expressions are computationally economical, and apply to general…

Strongly Correlated Electrons · Physics 2022-02-02 Noga Bashan , Assa Auerbach

We revisit a theory of heat transport in the light of a gauge theory of gravity and find the proper heat current with a corresponding gauge field, which yields the natural definitions of the heat magnetization and the Kubo-formula…

Mesoscale and Nanoscale Physics · Physics 2014-12-11 Atsuo Shitade

We consider a disordered topological insulator thin film placed on the top of a ferromagnetic insulator with a perpendicular exchange field $M$ and subjected to a perpendicular electric field. The presence of ferromagnetic insulator causes…

Mesoscale and Nanoscale Physics · Physics 2022-11-15 Siamak Pooyan , Mir Vahid Hosseini

We derive from first principles the Kubo formulas for the stress-stress response function at zero wavevector that can be used to define the full complex frequency-dependent viscosity tensor, both with and without a uniform magnetic field.…

Statistical Mechanics · Physics 2013-05-30 Barry Bradlyn , Moshe Goldstein , N. Read

Conductivities and Hall coefficients of two dimensional hard core bosons are calculated using the thermodynamic expansions of Kubo formulas. At temperatures above the superfluid transition, the resistivity rises linearly and is weakly…

Strongly Correlated Electrons · Physics 2024-01-12 Sauri Bhattacharyya , Ayush De , Snir Gazit , Assa Auerbach

The perturbation theory for calculation of the effective conductivity of the plane consisting of pieces of different conductivities is constructed and the convenient diagram technique for this perturbation theory is elaborated. It is shown…

Materials Science · Physics 2009-10-31 I. M. Khalatnikov , A. Yu. Kamenshchik

Random networks of carbon nanotubes and metallic nanowires have shown to be very useful in the production of transparent, conducting films. The electronic transport on the film depends considerably on the network properties, and on the…

Mesoscale and Nanoscale Physics · Physics 2010-12-13 Luiz F. C. Pereira , C. G. Rocha , A. Latge , M. S. Ferreira

A relation derived from the Kubo formula shows that optical conductivity measurements below the gap frequency in doped semiconductors can be used to probe directly the time-dependent quantum dynamics of charge carriers. This allows to…

Materials Science · Physics 2015-03-17 S. Ciuchi , S. Fratini , D. Mayou

We calculate the Aslamazov-Larkin term of the conductivity in the presence of a magnetic field applied along the c-axis from the time-dependent Ginzburg-Landau equation perturbatively using two approaches. In the first a uniform electric…

Superconductivity · Physics 2016-08-31 T. Blum , M. A. Moore

We study how the intrinsic anomalous Hall conductivity is modified in two-dimensional crystals with broken time-reversal symmetry due to weak inhomogeneity of the applied electric field. Focusing on a clean noninteracting two-band system…

Mesoscale and Nanoscale Physics · Physics 2021-04-13 Vladyslav Kozii , Alexander Avdoshkin , Shudan Zhong , Joel E. Moore

We use the Kubo-Landauer formalism to compute the longitudinal (two-terminal) conductance of a two dimensional electron system placed in a strong perpendicular magnetic field, and subjected to periodic modulations and/or disorder…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Chenggang Zhou , Mona Berciu

The non-commutative theory of charge transport in mesoscopic aperiodic systems under magnetic fields, developed by Bellissard, Shulz-Baldes and collaborators in the 90's, is complemented with a practical numerical implementation. The…

Statistical Mechanics · Physics 2012-10-25 Yu Xue , Emil Prodan

We compute magnon Hall conductivities in a minimal model of a two-dimensional altermagnet. To do so, we derive an analytic expression for the relevant quantum geometric tensor describing two-band bosonic Bogoliubov Hamiltonians, providing…

Strongly Correlated Electrons · Physics 2025-08-21 Erlend Syljuåsen , Alireza Qaiumzadeh , Asle Sudbø

We derive semiclassical expressions for the Kubo conductivity tensor. Within our approach the oscillatory parts of the diagonal and Hall conductivity are given as sums over contributions from classical periodic orbits in close relation to…

Condensed Matter · Physics 2009-10-22 Klaus Richter

Exact numerical calculations of the conductivity of graphene sheets with random and correlated distributions of disorders have been performed using the time-dependent real-space Kubo formalism. The disorder was modeled by the long-range…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 T. M. Radchenko , A. A. Shylau , I. V. Zozoulenko

In this paper we systemically study the optical conductivity and density of states of disorded graphene beyond the Dirac cone approximation. The optical conductivity of graphene is computed by using the Kubo formula, within the framework of…

Mesoscale and Nanoscale Physics · Physics 2011-11-08 Shengjun Yuan , Rafael Roldán , Hans De Raedt , Mikhail I. Katsnelson

Physical systems with non-trivial topological order find direct applications in metrology[1] and promise future applications in quantum computing[2,3]. The quantum Hall effect derives from transverse conductance, quantized to unprecedented…

Atomic Physics · Physics 2019-05-09 Dina Genkina , Lauren M. Aycock , Hsin-I Lu , Alina M. Pineiro , Mingwu Lu , I. B. Spielman

We propose a highly efficient numerical method to describe inhomogeneous superconductivity by using the kernel polynomial method in order to calculate the Green's functions of a superconductor. Broken translational invariance of any type…

Superconductivity · Physics 2010-10-13 L. Covaci , F. M. Peeters , M. Berciu