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DIFFUSION LIMIT OF A GENERALIZED MATRIX
DIFFUSION LIMIT OF A GENERALIZED MATRIX

1 Introduction : Phase transitions in 2D electron systems 2
1 Introduction : Phase transitions in 2D electron systems 2

... introduced into the system destroys superconductivity. When disorder is introduced gradually into the system then a superconductor-to-insulator transition (SIT) takes place . This transition can be viewed by measuring the temperature-dependence of the resistance. In the superconducting regime the re ...
Semiclassical Green`s functions and an instanton formulation of
Semiclassical Green`s functions and an instanton formulation of

https://www.cfa.harvard.edu/~hrs/icap2002/proceedings/Esry.pdf
https://www.cfa.harvard.edu/~hrs/icap2002/proceedings/Esry.pdf

Chapter 3 Basic quantum statistical mechanics of spin
Chapter 3 Basic quantum statistical mechanics of spin

... where abc is the completely antisymmetric tensor with xyz = 1. This algebra is familiar as the algebra of generations of rotations (i.e. the components of the angular momentum). Here, the rotation is not in the position of the spins, but rather in its “direction” (in quotes because it is of course ...
Overview of Hamiltonian Systems
Overview of Hamiltonian Systems

Non-Hermitian Hamiltonians of Lie algebraic type
Non-Hermitian Hamiltonians of Lie algebraic type

Topological map of the Hofstadter butterfly: Fine structure of Chern
Topological map of the Hofstadter butterfly: Fine structure of Chern

Elimination of the degenerate trajectory of a single atom strongly
Elimination of the degenerate trajectory of a single atom strongly

... spatial resolution in a 10-µs time interval [14]. However, for all these experiments mentioned above, the atom was coupled to the fundamental Hermite-Gaussian TEM00 mode. Although the coupling between the atom and cavity TEM00 mode is stronger than all the other modes when the atom passes in the cen ...
Phase switching in a voltage-biased Aharonov-Bohm interferometer Vadim I. Puller
Phase switching in a voltage-biased Aharonov-Bohm interferometer Vadim I. Puller

... From the simple theory described above, one would naively expect that, if more than two levels in the dot are energetically accessible, multiple switching events would occur only when the levels have alternating parities, and the number of switching events would then be equal to the number of parity ...
Theoretical Analysis of the Effect Provoked by Bromine
Theoretical Analysis of the Effect Provoked by Bromine

On some log-cosine integrals related to (3), (4), and (6)
On some log-cosine integrals related to (3), (4), and (6)

... Previously, a certain log-cosine integral has been considered in connection with certain digamma series [3,6]. This integral has value a rational multiple of (4), where  is the Riemann zeta function [7,10,15,12]. We show that this integral may be alternatively evaluated starting from a known tabu ...
The physics behind chemistry, and the Periodic Table
The physics behind chemistry, and the Periodic Table

Real-time evolution for weak interaction quenches in quantum systems
Real-time evolution for weak interaction quenches in quantum systems

Structure-Related Optical Fingerprints in the Absorption Spectra of
Structure-Related Optical Fingerprints in the Absorption Spectra of

What is inside the nucleon?
What is inside the nucleon?

... constant in the case of non-Abelian gauge theory decreases as the energy increases, as can be checked from Equation (7). Therefore, in the case of QCD, the coupling of one quark to another is weak at very short distances or large four momentum transfer squared (Q2 ). The property αs → 0 as Q → ∞ is ...
A conformal field theory approach to the fractional quantum Hall
A conformal field theory approach to the fractional quantum Hall

... the many particles needs to be taken into account, which makes the construction of the wave functions analytically impossible. By making educated guesses, many wave functions describing the FQHE at different fractions have been proposed. The properties of these theoretical states can be compared to ...
Colloquium: Physics of optical lattice clocks
Colloquium: Physics of optical lattice clocks

... 1999). Considering this remarkable progress, it is anticipated that eventually the second will be redefined based on the output of optical clocks. Moving to higher frequencies is advantageous since a number of systematic corrections do not scale with frequency at all, so there is an immediate improv ...
Spin-orbit coupling effects, interactions and superconducting
Spin-orbit coupling effects, interactions and superconducting

... coupling (SOI) and Coulomb interaction in carbon nanotubes (CNTs) as well as quantum wires. We derive low energy theories for both systems, using the bosonization technique and obtain analytic expressions for the correlation functions that allow us to compute basically all observables of interest. W ...
Coupling Quantum Tunneling with Cavity Photons
Coupling Quantum Tunneling with Cavity Photons

Fractional Fourier–Kravchuk transform
Fractional Fourier–Kravchuk transform

Third-order optical response of intermediate
Third-order optical response of intermediate

Can the Wave Function in Configuration Space Be Replaced by
Can the Wave Function in Configuration Space Be Replaced by

Heisenberg Spin Chains : from Quantum Groups to
Heisenberg Spin Chains : from Quantum Groups to

Quantum state-resolved probing of strong-field
Quantum state-resolved probing of strong-field

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Tight binding

In solid-state physics, the tight-binding model (or TB model) is an approach to the calculation of electronic band structure using an approximate set of wave functions based upon superposition of wave functions for isolated atoms located at each atomic site. The method is closely related to the LCAO method used in chemistry. Tight-binding models are applied to a wide variety of solids. The model gives good qualitative results in many cases and can be combined with other models that give better results where the tight-binding model fails. Though the tight-binding model is a one-electron model, the model also provides a basis for more advanced calculations like the calculation of surface states and application to various kinds of many-body problem and quasiparticle calculations.
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