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5_2_Magnetism basics
5_2_Magnetism basics

... When a magnetic field H is applied, an electron can only flip its spin magnetic dipole from anti-parallel to parallel if the decrease in its magnetic energy (2βH) is sufficient to supply the extra kinetic energy required to raise it to an empty translational energy level. (RECALL: β is the Bohr magn ...
IOSR Journal of Applied Physics (IOSR-JAP)
IOSR Journal of Applied Physics (IOSR-JAP)

... electronic structure of strongly correlated materials. A wide variety of numerical techniques and analytical methods have been used to treat strongly correlated electron systems. A new limit has been introduced to the correlated electron problem, that of infinite lattice coordination: Each lattice s ...
LETTERS Nature of the superconductor–insulator transition in disordered superconductors Yonatan Dubi
LETTERS Nature of the superconductor–insulator transition in disordered superconductors Yonatan Dubi

... destroyed in a way similar to BCS theory. On the other hand, for stronger disorder, increasing T or B leads to the breakdown of phasecoherent paths between the edges of the sample, thereby driving a transition to an insulating state, even when the superconducting order parameter is still finite. The ...
Including Nuclear Degrees of Freedom in a Lattice Hamiltonian, P. L. Hagelstein, I. U. Chaudhary, This paper has been accepted for publication in J. Cond. Mat. Nucl. Sci. and will be published soon. An earlier version was posted on the LANL ArXiV (/0401667 [cond-mat.other] 20 Jan 2012).
Including Nuclear Degrees of Freedom in a Lattice Hamiltonian, P. L. Hagelstein, I. U. Chaudhary, This paper has been accepted for publication in J. Cond. Mat. Nucl. Sci. and will be published soon. An earlier version was posted on the LANL ArXiV (/0401667 [cond-mat.other] 20 Jan 2012).

... there were no physical transitions which could serve as the strongly coupled two-level transition within the model. We were optimistic in our writing about the possibility that systems described by three-level systems (or N-level systems) would be able to do the job. After putting in a great deal of ...
幻灯片 1 - Center for High Energy Physics, Tsinghua University
幻灯片 1 - Center for High Energy Physics, Tsinghua University

... Many variables have been proposed. Most of them are based on the assumption that these variables have large fluctuations at the critical point. ...
Low-field susceptibility of classical Heisenberg chains with arbitrary
Low-field susceptibility of classical Heisenberg chains with arbitrary

... model. For the 4-spin chain the linear co-dependence of the parameters is illustrated in Fig. 2, by the rod-like pattern in the 3-D plot for repeated simulations, consistent with the line-like pattern observable in Fig. 4 of Schmidt et al. for the case of two linear co-dependent exchange parameters. ...
Magnetic Resonance Imaging
Magnetic Resonance Imaging

... and provide a useful contrast mechanism in MR imaging. Spin-spin relaxation occurs very rapidly in solids (< 1ms) and therefore we usually assume that we are imaging liquid-like materials such as water protons in soft mammalian tissues. In this case T2 takes values in the 40ms-4s range. Notice that ...
Two Electrons in Vertically Coupled One
Two Electrons in Vertically Coupled One

... competition between the paramagnetic and diamagnetic terms in the Hamiltonian (3). The contribution of the paramagnetic term depends on the magnetic field strength is linear whereas this dependence of the diamagnetic term is quadratic. Therefore, as the magnetic field strength is small the contribut ...
Supplementary Material
Supplementary Material

... of the Hamiltonian, Eq. (A). Indeed, we can flip the spin of one electron from the spinup domain, thereby transferring it from the orbital 0, m,  to the orbital 1, m,   , and leaving behind a hole in the spin-up domain. At the same time we flip the spin of one electron in the spin-down domain, ...
Spin Hall Effect in
Spin Hall Effect in

Quantum spin systems from the perspective of quantum information
Quantum spin systems from the perspective of quantum information

... – Correlation length is a lower bound to the Entanglement length: longrange correlations imply long-range entanglement – Ent. Length is typically equal to Corr. Length for spin ½ systems – LE can detect new phase transitions when the entanglement length is diverging but correlation length remains fi ...
Numerical Renormalization Group Study of Random Transverse
Numerical Renormalization Group Study of Random Transverse

Winding number order in the haldane model with interactions
Winding number order in the haldane model with interactions

... the winding number is identical to the Chern number [17]. It has been shown that ν is an observable that can be directly measured in ultracold atoms experiments [14]. This approach has been generalized to topological superconductors [18] and to composite problems (i.e. unit cell dimensionality 2n), ...
cond-mat/0406008 PDF
cond-mat/0406008 PDF

... matrix parameters. We associate a random saddle-point energy ǫij with each link joining the lattice sites i and j. When ǫij > ǫF the hopping matrix element vij for that link is chosen such that it will give the transmission coefficient (1) . When ǫij < ǫF the link is considered perfect, or SC. Since ...
HOW DO SEDIMENTS GET MAGNETIZED?
HOW DO SEDIMENTS GET MAGNETIZED?

... magnetizations are generally about 1% of the saturation magnetization. Using a statistical approach, we demonstrate that high-fidelity paleomagnetic recording can occur even for a randomly oriented assemblage of magnetic particles with a small bias toward the ambient field direction (sometimes less ...
Quantitative model of high Tc super-conductivity and bio
Quantitative model of high Tc super-conductivity and bio

... triplet state is anti-symmetrization in longitudinal degrees of freedom. In 3-D model for Cooper pairs spatial antis-ymmetrization implies L = 1 spatial wave function in the relative coordinate and one obtains J = 0 and J = 2 states. Now the state could be antisymmetric under the exchange of longitu ...
Topologoical Aspects of the Spin Hall Effect
Topologoical Aspects of the Spin Hall Effect

... • Spin Hall Effect: A new type of dissipationless quantum spin transport, realizable at room temperature • Natural generalization of the quantum Hall effect • Lorentz force vs spin-orbit forces: both velocity dependent • U(1) to SU(2), 2D to 3D • Instrinsic spin injection in spintronics devices • Sp ...
Deconfined Quantum Critical Points
Deconfined Quantum Critical Points

... condensed matter theory. A central concept in this theory is that of the ”order parameter”; its nonzero expectation value characterizes a broken symmetry of the Hamiltonian in an ordered phase and it goes to zero when the symmetry is restored in the disordered phase. According to the accepted paradi ...
New Bloch Period for Interacting Cold Atoms in 1D Optical Lattices
New Bloch Period for Interacting Cold Atoms in 1D Optical Lattices

... P can also be tracked by calculating the entropy S   n jcn j2 logjcn j2 , which changes from S  logN (N is the dimension of the Hilbert space) in the SF phase, to S  0 in the MI phase. [21] In all numerical simulations periodic boundary conditions were used, i.e., the site l  L  1 is identifie ...
18 Multi-electron Atom
18 Multi-electron Atom

... one indices exchanged. Therefore, the triples state is lower in energy than the singlet since K (and J) is positive. This is in agreement with our experimental observation of the the 1s2s configurations for which two states are found and the lowest split into 3 state in a magnetic field. ...
Lecture Notes in Statistical Mechanics and Mesoscopics
Lecture Notes in Statistical Mechanics and Mesoscopics

... ====== [4.1] Thermal occupation of a site system Using the above definition we can get results for the thermal occupation of an M site system. Since we assume that the biding energy is the same for all sites, it follows that estimating Z1 is essentially a combinatorial problem. We assume n  1 so we ...
Molecular Magnets in the Field Of Quantum Computing
Molecular Magnets in the Field Of Quantum Computing

T1T2article_SI_proof-1
T1T2article_SI_proof-1

Chapter 11
Chapter 11

... Suppose we have a system of non-interacting paramagnetic dipoles in contact with a thermal reservoir at some temperature T. If we quasistatically increase the magnetic field on the system, then according to equation 11.9 the magnetization will increase. The thermal energy, U=-MzB, becomes more negat ...
Chapter 3 The Statistical Theory of Thermodynamics 3.1 Macrostate
Chapter 3 The Statistical Theory of Thermodynamics 3.1 Macrostate

... But, this notion of time-average is impossible to compute in practice even though it’s what we actually measure in an experiment. (b) Average by distribution (ensemble). It’s clear that many different microstates all correspond to the same macrostate (see the earlier example of 36 spins). Suppose w ...
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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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