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Physics 880.06: Problem Set 7
Physics 880.06: Problem Set 7

... describing the distance of the k vector from the node point. In this problem, you will consider this same excitation spectrum in the presence of a magnetic field B perpendicular to the plane. To calculation the spectrum, make the substitution δk → −ih̄∇, where ∇ is the two-dimensional gradient opera ...
Interaction with the radiation field
Interaction with the radiation field

... Transition probability Pa->b as a function of the frequency of time ...
Physics 880.06: Problem Set 7
Physics 880.06: Problem Set 7

Dimerized Phase and Transitions in a Spatially Anisotropic Square Lattice... Oleg A. Starykh and Leon Balents
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... An interplay between geometric frustration and quantum fluctuations is at the heart of intensive current investigations into the nature of possible SU2-invariant Mott insulators and quantum phase transitions. The absence of any ‘‘natural’’ small parameter, however, makes a traditional perturbative ...
Using Pink Diamond to Detect Small Magnetic Fields and Break
Using Pink Diamond to Detect Small Magnetic Fields and Break

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Breakdown of the static approximation in itinerant - HAL

... time i from 0 to P llkt. Even the contribution from a single arbitrary path is difficult to compute. It is at this point that most authors [4, 5, 8] take the static approximation (SA), in which the integral is restricted to time-independent auxiliary fields, as in the classical problem. This generat ...
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0_2_SA_LarmorPrecession

Equations of State with a chiral critical point
Equations of State with a chiral critical point

... • There is clearly plenty of work for both theorists and experimentalists! Supported by the Office Science, U.S. Department of Energy. ...
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11/14 Lecture outline • Binomial distribution: recall p(N1) = ( N N1

Quantum phase transitions in Kitaev spin models
Quantum phase transitions in Kitaev spin models

... Left: Phase diagram. The yellow (red) regions are phases of Chern number 1 (-1). The white regions are phases of Chern number 0. Right: A first-order quantum phase transition occurring along the horizontal dashed line. ...
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1 PHY4605–Introduction to Quantum Mechanics II Spring 2004 Test 1 Solutions

... Simplest example: spin 0 particle decays in lab frame into two spin–1/2 particles which recoil in opposite directions. Quantum Mechanics says spin state must be |s = 0i = √12 (↑↓ − ↓↑). When observer at point A far from B measures spin of particle 1 to be up, wave function colapses ⇒ 2 is down with ...
FYS3410 Spring 2017 Module III Practical assignments
FYS3410 Spring 2017 Module III Practical assignments

... (b) If kF < kBZ holds, in terms of available electron states in the band it means, there are empty states available up to k= kBZ. Compute how much of divalent atoms should be added to such SC lattice to make kF = kBZ in the alloy. Would such alloying result in an improvement or degradation of electr ...
Measurement in Quantum Mechanics
Measurement in Quantum Mechanics

... [This handout is for fun, and “culture”. You won’t be tested on this.] Shortly after Schrodinger and Heisenberg proposed their formulations of quantum mechanics, an interpretation of the theory developed, centered around Niels Bohr’s school in Copenhagen. After all, it was not obvious what the wave ...
Topological Quantum Matter
Topological Quantum Matter

... probability is always positive, while the quantum amplitude can be positive, negative or complex giving rise to interference ...
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g 0 - Lorentz Center

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Physics 112 Magnetic Phase Transitions, and Free Energies in a

... hi, ji indicates that each nearest-neighbor pair of spins is included once. We have set γ = 1 for convenience, If i denotes a particular site, then, on the square lattice, Si is coupled to four neighbors, which are in the +x, −x, +y and −y directions as shown below. ...
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Diapositiva 1

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Exercise 1, from the final exam in AST4220, 2005 Exercise 2
Exercise 1, from the final exam in AST4220, 2005 Exercise 2

... early approach to the problem is the so-called Wheeler-De Witt equation. This is a Schrödinger-like equation for the wave function of the Universe. The wave function of the Universe gives the probability density for observing different metrics. If we restrict the space of possible metrics to those ...
One-dimensional Quantum Wires
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PH-208 Magnetism Page 1 Diamagnetism and Paramagnetism
PH-208 Magnetism Page 1 Diamagnetism and Paramagnetism

... If molecular field is so large as compared to external field, why does the magnetization of ferromagnet change at all with application of external field? The answer is in domains – small spontaneously magnetized regions that are randomly oriented. External magnetic field either moves the walls betwe ...
here
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Quantum spin system with on-site exchange in a magnetic field G. P
Quantum spin system with on-site exchange in a magnetic field G. P

... We present the exact results of 12 quantum spins on the ladder with antiferromagnetic (AF) exchange interaction (Δ > 0, J = 1). For the family of Δ/J values we obtained the following thermodynamic characteristics: magnetization, specific heat, susceptibility, entropy and energy as functions of the m ...
< 1 ... 65 66 67 68 69 70 71 >

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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