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Optically dressed magnetic atoms
Optically dressed magnetic atoms

... The continuing decrease of the size of the structures used in semiconductor electronics and in magnetic informationstorage devices has dramatically reduced the number of atoms necessary to process and store one bit of information: An individual magnetic atom would represent the ultimate size limit f ...
On the Quantum Correction For Thermodynamic Equilibrium
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A quantum calculation of the higher order terms in the Bloch
A quantum calculation of the higher order terms in the Bloch

... centre of the resonance we are interested in, is given by the abscissa of the points A, and Az where the energy levels of figure 1 have a zero slope (centre of the first anticrossing). Let us call l a ) = 1 +, n ) and Ib) = j -, n + l > the two unperturbed levels corresponding to this anticrossing. ...
Kyung Kyu Kim
Kyung Kyu Kim

... By the analytic solution and the holographic renormalization( the Smarr relation ), one can derive the 1st law of thermodynamics. From the first law or the Smarr relation, one can find the magnetization. Magnetization ...
SPIN WAVES (INCLUDING DIMENSIONALITY
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... to the exchange energy of the involved electrons as well as the magnetic anisotropy caused by the spin-orbit interaction and the classical magnetic dipole interaction between the magnetic atoms. Intensive research has lead to a deep understanding of the magnetic ground state, the detailed spin confi ...
On the Energy Spectrum and Ground
On the Energy Spectrum and Ground

... Here S i,k,m is the spin operator located on i-th lattice site of the unit cell labeled by index k, m is a number of the corresponding cyclic fragment; i = 1 corresponds to the site spin s1 and i = 2, 3 correspond to the site spins s2 . The parameter α represents a relative strength of the nearest-n ...
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Locating the quantum critical point of the Bose

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... SU(N). These symmetries occupy a place of great importance in the theory of magnetism and superconductivity. For example, the inversion of spins under time reversal is central to the formation of singlet pairs, formed through the combination of a spin with its time reversed twin. In the SU(N) group, ...
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Very brief introduction to Conformal Field Theory

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Problem Set II

... momentum. It is coupled to the first through the denominator that depends on r, the distance between the two bodies. a) Expand P2/2μr2 in a Taylor series in r about r = re. Perform the expansion through second order; that is, include terms up to (r - re)2. Don’t expand P2; it is a constant of the mo ...
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6 Yang-Baxter equation - ENS-phys

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Ising model

The Ising model (/ˈaɪsɪŋ/; German: [ˈiːzɪŋ]), named after the physicist Ernst Ising, is a mathematical model of ferromagnetism in statistical mechanics. The model consists of discrete variables that represent magnetic dipole moments of atomic spins that can be in one of two states (+1 or −1). The spins are arranged in a graph, usually a lattice, allowing each spin to interact with its neighbors. The model allows the identification of phase transitions, as a simplified model of reality. The two-dimensional square-lattice Ising model is one of the simplest statistical models to show a phase transition.The Ising model was invented by the physicist Wilhelm Lenz (1920), who gave it as a problem to his student Ernst Ising. The one-dimensional Ising model has no phase transition and was solved by Ising (1925) himself in his 1924 thesis. The two-dimensional square lattice Ising model is much harder, and was given an analytic description much later, by Lars Onsager (1944). It is usually solved by a transfer-matrix method, although there exist different approaches, more related to quantum field theory.In dimensions greater than four, the phase transition of the Ising model is described by mean field theory.
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