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Observation of magnetic fragmentation in spin ice
Observation of magnetic fragmentation in spin ice

Order by disorder in a four-flavor Mott insulator on the fcc lattice
Order by disorder in a four-flavor Mott insulator on the fcc lattice

... in real materials or proposed by theorists for academic interest can now be realized [20–26]. A large variety of ground states has been put forward for the SU(4) Heisenberg models. A quantum liquid with algebraically decaying spin-spin correlations is formed in the one-dimensional chain [4,27] (whic ...
Quantum Phase Transitions
Quantum Phase Transitions

... each ‘site’ j there two qubit quantum states |↑ij and |↓ij (in practice, these could be 2 magnetic states of an ion at site j in a crystal). The Hilbert space therefore consists of 2N states, each consisting of a tensor product of ...
Theoretical study of the phase evolution in a quantum dot in the
Theoretical study of the phase evolution in a quantum dot in the

... 2. This result is beyond the simple single-level Anderson model (SLAM) description and supposes to consider the generalisation to the multi-level Anderson model (MLAM). Done here in a minimal way by introducing a multiplicative factor in front of the S-matrix in order to guarantee the generalized Le ...
Bose-Einstein condensation of excitons and cold atoms OECS13
Bose-Einstein condensation of excitons and cold atoms OECS13

... An indirect exciton is a bound pair of an electron and a hole confined in spatially separated semiconductor layers. Long lifetimes of indirect excitons allow them to cool down to low temperatures below the temperature of quantum degeneracy. In coherent exciton gases the spin relaxation mechanisms li ...
8. Quantum field theory on the lattice
8. Quantum field theory on the lattice

... The continuum limit for this action is the same as for the compact action (check it!). The difference in the continuum limit is in the higher order O(a2 ) terms. At finite a the physics can be quite different! Note: switch 21 [·]2 7→ (1 − cos[·]), and you recover the compact action. Non-compact U(1) ...
Some Open Problems in Exactly Solvable Models
Some Open Problems in Exactly Solvable Models

... These investigations based on various methods (Algebraic Bethe Ansatz, quantum Knizhnik-Zamolodchikov equation, quantum groups, etc.) allowed for the very first time to obtain information about the short and large distance asymptotic behavior of correlation functions of models not equivalent to free ...
Phys. Rev. Lett. 98, 070602
Phys. Rev. Lett. 98, 070602

Lecture 21: Mean Field Theory of Ferromagnetism
Lecture 21: Mean Field Theory of Ferromagnetism

... moments of partially filled shells in insulators containing transitional metal ions, conduction electrons) do not interact with each other The assumption about noninteracting magnetic moments must be dropped to describe variety of phenomena caused by magnetic interactions. For instance, some materia ...
Wellness Bingo
Wellness Bingo

The Gutzwiller Density Functional Theory - cond
The Gutzwiller Density Functional Theory - cond

... suitable for a self-consistent merger with the DFT. 3. Apart from ground-state properties the method allows us to calculate quasi-particle excitations and two-particle response functions. 4. Systematic improvements of the infinite D limit are possible and sometimes necessary to study, e.g., correlat ...
instroduction_a_final
instroduction_a_final

... Some operators may have many EigenFunctions. Note: In NMR, we are interested in Energy levels that corresponding to the wavefunctions. Operators are important tools for us to find these values as the EigenValue. To find these EigenValues and Eigenfunctions, we have to find the Operators ---- Energy ...
Chapter 3 Basic quantum statistical mechanics of spin
Chapter 3 Basic quantum statistical mechanics of spin

... quotes because it is of course not possible to measure all three components of a quantum spin). The HIlbert space of a quantum spin is defined by choosing a representation of the spin operators. A representation of a Lie algebra is a set of three matrices satisfying the commutation relations, for su ...
rangus-prezentacija
rangus-prezentacija

... With a special pulse sequence the magnetic moments are gathered before the recording starts An efficient method to avoid dead time problem ...
Document
Document

... Analysis of IR - Spectra of Unknown Compounds 1. frequency, shape, intensity of an absorption band have all to be considered in the interpretation 2. all characteristic absorption frequencies of a functional group have to be considered (band can be missing or is caused by another function) 3. first ...
list_of_posterpresentation
list_of_posterpresentation

... “Matrix model and random matrix theory analysis of protein” Abstract: Static and dynamical structures of protein is analyzed using the matrix model and the random matrix theory, respectively. Protein 3d structures registered in PDB [1] exceed 100,000 kinds and the detailed analysis becomes current ...
Absence of spin liquid in non-frustrated correlated systems
Absence of spin liquid in non-frustrated correlated systems

... as follows: The density of states N (ω) can be computed by numerically integrating the spectral function A(k, ω) over wavevectors. We compute N (ω + iη) at ω = 0 for a few values of the Lorenzian broadening η and extrapolate η → 0 using a polynomial fit. The result of this extrapolation should vanis ...
Reduced fidelity in topological quantum phase transitions
Reduced fidelity in topological quantum phase transitions

Quantum Renormalization of the Spin Hall Effect
Quantum Renormalization of the Spin Hall Effect

Slide - Pacific Institute of Theoretical Physics
Slide - Pacific Institute of Theoretical Physics

PDF
PDF

Davies Maps - Fernando Brandao
Davies Maps - Fernando Brandao

... The stationary state is the thermal (Gibbs) state: • (Metropolis et al ’53) “We devised a general method to calculate the properties of any substance comprising individual molecules with classical statistics” • Example of Markov Chain Monte Carlo method. Extremely useful algorithmic technique ...
Electron Transport in a Double Quantum Dot Governed by a... Oleg N. Jouravlev* and Yuli V. Nazarov
Electron Transport in a Double Quantum Dot Governed by a... Oleg N. Jouravlev* and Yuli V. Nazarov

... different realizations at time scale of a single measurement. Since nuclear relaxation times are large, this point deserves some discussion. In fact, raw data acquisition time in experiment [15] was 0.1 s per point, which is probably less than the relaxation time. However, the raw data are noisy (se ...
Spin-Orbit-Mediated Anisotropic Spin Interaction in Interacting Electron Systems
Spin-Orbit-Mediated Anisotropic Spin Interaction in Interacting Electron Systems

Physics of Single-Electron Transistors and Doped Mott Insulators M. Kastner 
Physics of Single-Electron Transistors and Doped Mott Insulators M. Kastner 

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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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