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The universality of radiative corrections to the gauge coupling constant $k$ of Chern-Simons theory is studied in a very general regularization scheme. We show that the effective coupling constant $k$ induced by radiative corrections…

High Energy Physics - Theory · Physics 2009-10-28 M. Asorey , F. Falceto , J. L. Lopez , G. Luzon

We present a formalism to calculate the orbital magnetization of interacting Dirac fermions under a magnetic field. In this approach, the divergence difficulty is overcome with a special limit of the derivative of the thermodynamic…

Strongly Correlated Electrons · Physics 2017-09-05 Xin-Zhong Yan , C. S. Ting

We describe the symbolic calculus of operators on the unit sphere in the complex n-space $\mathbb C^n$ defined by the Berezin quantization. In particular, we derive a explicit formula for the composition of Berezin symbol and with that a…

Classical Analysis and ODEs · Mathematics 2017-02-21 Erik I. Díaz-Ortíz

We derive an exact expression for the orbital magnetization of electrons with short-range interactions (such as density-density interactions) in terms of exact zero-frequency response functions of the zero-field system. The result applies…

Strongly Correlated Electrons · Physics 2026-02-03 Xi Chen , Zhi-Da Song

The perfect quenching of spin tunneling that has previously been discussed in terms of interfering instantons, and has recently been observed in the magnetic molecule \Fe8, is treated using a discrete phase integral (or…

Condensed Matter · Physics 2009-10-31 Anupam Garg

Extensive measurements of the magnetization of superconducting single crystal samples of Ba0.6K0.4BiO3} have been made using SQUID and cantilever force magnetometry at temperatures ranging between 1.3 and 350 K and in magnetic fields from…

Superconductivity · Physics 2009-10-31 Donavan Hall , R. G. Goodrich , C. Grenier , P. Kumar , M. Chaparala , M. Norton

The orbital and spin moment of the Ni2+ ion in NiO has been calculated within the quasi-atomic approach. The orbital moment of 0.46 mu_B amounts at 0 K, in the magnetically-ordered state, to about 20% of the total moment (2.45 mu_B). For…

Strongly Correlated Electrons · Physics 2008-10-08 R. J. Radwanski , Z. Ropka

We have determined the temperature evolution of the spin and orbital moments in the zero magnetization ferromagnet Sm$_{1-x}$Gd$_x$Al$_2$ (x = 0.024) by combining polarized and unpolarized single crystal neutron diffraction data. The…

Strongly Correlated Electrons · Physics 2018-02-28 T. Chatterji , A. Stunault , P. J. Brown

As a consequence of Bloch's theorem, the numerical computation of the fermionic ground state density matrices and energies of periodic Schrodinger operators involves integrals over the Brillouin zone. These integrals are difficult to…

Numerical Analysis · Mathematics 2021-09-24 Eric Cances , Virginie Ehrlacher , David Gontier , Antoine Levitt , Damiano Lombardi

Orbital susceptibility for Bloch electrons is calculated for the first time up to the first order with respect to overlap integrals between the neighboring atomic orbitals, assuming single-band models. A general and rigorous theory of…

Materials Science · Physics 2016-06-07 Masao Ogata

We make progress towards a 3D finite-element model for the magnetization of a high temperature superconductor (HTS): We suggest a method that takes into account demagnetisation effects and flux creep, while it neglects the effects…

Superexchange calculation is performed for multi-orbital band models with broken inversion symmetry. Orbital-changing hopping terms allowed by the symmetry breaking electric field lead to a new kind of orbital exchange term closely…

Strongly Correlated Electrons · Physics 2013-05-17 Panjin Kim , Jung Hoon Han

We present a Wannier-based method to calculate the Chern-Simons orbital magnetoelectric coupling in the framework of first-principles density-functional theory. In view of recent developments in connection with strong Z2 topological…

Materials Science · Physics 2012-05-16 Sinisa Coh , David Vanderbilt , Andrei Malashevich , Ivo Souza

The entanglement Chern number, the Chern number for the entanglement Hamiltonian, is used to charac- terize the Kane-Mele model, which is a typical model of the quantum spin Hall phase with the time reversal symmetry. We first obtain the…

Mesoscale and Nanoscale Physics · Physics 2016-04-01 Hiromu Araki , Toshikaze Kariyado , Takahiro Fukui , Yasuhiro Hatsugai

We investigate relations between spectral properties of a single-centre point-interaction Hamiltonian describing a particle confined to a bounded domain $\Omega\subset\mathbb{R}^{d},\: d=2,3$, with Dirichlet boundary, and the geometry of…

Mathematical Physics · Physics 2019-12-10 Pavel Exner , Andrea Mantile

Within a rather general tight-binding framework, we studied the magnetic properties of Ni$_{n}$ clusters with $n=9$ through 60. In addition to usual hopping, exchange, and spin-orbit coupling terms, our Hamiltonian also included orbital…

Materials Science · Physics 2009-11-10 Xiangang Wan , Lei Zhou , Jinming Dong , T. K. Lee , Ding-sheng Wang

The orbital magnetic moment of a finite piece of matter is expressed in terms of the one-body density matrix as a simple trace. We address a macroscopic system, insulating in the bulk, and we show that its orbital moment is the sum of a…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 Raffaello Bianco , Raffaele Resta

Real-space refinement of atomic models in macromolecular crystallography or in cryo electron microscopy fits a model to a map obtained experimentally. This requires generating model maps of a limited resolution which moreover may vary from…

Computational Engineering, Finance, and Science · Computer Science 2022-06-22 Ludmila Urzhumtseva , Vladimir Y. Lunin , Alexandre Urzhumtsev

We discuss methods for calculating Chern numbers of two-dimensional lattice systems using spiral boundary conditions, which sweep all lattice sites in one-dimensional order. Specifically, we establish the one-dimensional representation of…

Strongly Correlated Electrons · Physics 2024-01-24 Masaaki Nakamura , Shohei Masuda

We present a manifestly gauge-invariant description of Chern numbers associated with the Berry connection defined on a discretized Brillouin zone. It provides an efficient method of computing (spin) Hall conductances without specifying…

Mesoscale and Nanoscale Physics · Physics 2014-11-20 Takahiro Fukui , Yasuhiro Hatsugai , Hiroshi Suzuki
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