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Nernst effect in metals and superconductors: a review of concepts
Nernst effect in metals and superconductors: a review of concepts

Quantum Orders and Symmetric Spin Liquids
Quantum Orders and Symmetric Spin Liquids

Measuring a single spin in an arbitrary direction A spin 1/2
Measuring a single spin in an arbitrary direction A spin 1/2

... Note that the sum of all probabilities is unity and that the probability of having "two spins the same" and "two spins opposite" is 1/2, i.e. there is spin - inversion symmetry. Also note that the probability for a given outcome depends only on the (cosine of the) angle between the two detectors and ...
Single Molecule Magnets
Single Molecule Magnets

... triangles (Fig. 4). The ferromagnetic interaction between the antiferromagnetically coupled Mn3 O triangles leads to an S = 4 ground state. The energy barrier and τ0 values are 27.9 K and 2.3 × 10−8 s. Motivated by the triangular Mn3 O clusters in which the structural distortion could switch on the ...
On disorder effects in topological insulators and semimetals
On disorder effects in topological insulators and semimetals

... quantum computation. While the material class of time-reversal invariant topological insulators is by now an established research topic, topological gapless materials like Weyl semimetals have attracted interest only recently. In this thesis we theoretically study certain aspects of disorder physics ...
Coherent manipulation of single quantum systems
Coherent manipulation of single quantum systems

The complexity of the Separable Hamiltonian
The complexity of the Separable Hamiltonian

Spin Physics in Two-dimensional Systems  Daniel Gosálbez Martínez
Spin Physics in Two-dimensional Systems Daniel Gosálbez Martínez

... Graphene was the first example of a truly two dimensional (2D) crystal. This sort of materials were unexpected because it was believed that long range order due to the spontaneous breaking of a continuous symmetry in two dimensions was destroyed by long-wavelength fluctuations[1]. Since its discover ...
Magnetism of 3d Frustrated Magnetic Insulators - Helmholtz
Magnetism of 3d Frustrated Magnetic Insulators - Helmholtz

... Magnetism, despite its inherent quantum physical origin, is often treated as a classical phenomena. Industries which are based on magnetism (like hard disc production) depends on room temperature properties of magnets which are essentially classical. In quantum magnets the effects of quantum fluctua ...
Lectures on Random Schrödinger Operators
Lectures on Random Schrödinger Operators

... theory of random media discussed in these notes. We are primarily concerned with the phenomena of localization for electrons and for classical waves propagating in randomly perturbed media. By localization, we mean that the permissible states of the system, with energies in a specified range, do not ...
Interacting Fermionic Atoms in Optical Lattices
Interacting Fermionic Atoms in Optical Lattices

... two macroscopic objects would not differ by small details, they could still be distinguished by their (classical) positions and velocities. Two quantum meanical particles in the same internal quantum state on the other hand are indistinguishable. If their wavefunctions overlap at some time it is lat ...
Neutron Scattering Investigations on 3d and 4f Frustrated Magnetic
Neutron Scattering Investigations on 3d and 4f Frustrated Magnetic

... the application and improvement of theories of interacting many-body systems. Magnetic condensed matter systems can have a variety of different geometrical connectivity between the atoms, different spatial dimensions, sign and strength of interactions, anisotropy, and therefore, they provide many in ...
Quantum gauge theory simulation with ultracold atoms
Quantum gauge theory simulation with ultracold atoms

... gauge degree of freedom, which consists of mapping the gauge coordinate to a real and perpendicular direction with respect to the 2D space of positions. Thus, the system turns out to be a 3D insulator with a non-trivial topology, specically, a quantum Hall insulator. Next, we study an analog quantu ...
Hsiang-Hsuan Hung, Pouyan Ghaemi, Taylor L. Hughes, and Matthew J. Gilbert , "Vortex Lattices in the Superconducting Phases of Doped Topological Insulators and Heterostructures," Physical Review B , 87 , 035401 (2013).
Hsiang-Hsuan Hung, Pouyan Ghaemi, Taylor L. Hughes, and Matthew J. Gilbert , "Vortex Lattices in the Superconducting Phases of Doped Topological Insulators and Heterostructures," Physical Review B , 87 , 035401 (2013).

... This result matches standard BCS phenomenology and represents the point of inception for the remainder of the paper. To be specific, in Ref. 16, Hosur et al. used a semiclassical treatment to show that a vortex in the superconducting phase of a doped topological insulator exhibits a topological phas ...
Engineering a Robust Quantum Spin Hall State in Graphene via
Engineering a Robust Quantum Spin Hall State in Graphene via

... however, magnetic adatoms inducing strong Rashba coupling can induce an interesting ‘‘quantum anomalous Hall’’ state in graphene.) The adatoms may also favor competing, ordinary insulating states depending on their precise locations in the lattice. And finally, since spin-orbit coupling is generated ...
Martin Raith - Publikationsserver der Universität Regensburg
Martin Raith - Publikationsserver der Universität Regensburg

Abstract book final - International Conference on Strongly
Abstract book final - International Conference on Strongly

... Karlsruhe Institute of Technology, Institute for Solid State Physics, 76021 Karlsruhe, Germany ...
The density-matrix renormalization group in the age of matrix
The density-matrix renormalization group in the age of matrix

... made in higher dimensions starting with [65] using a generalization of the MPS state class[66]. The goal of this paper cannot be to provide a full review of DMRG since 1992 as seen from the perspective of 2010, in particular given the review[7], which tries to provide a fairly extensive account of ...
The density-matrix renormalization group in the age of matrix
The density-matrix renormalization group in the age of matrix

... made in higher dimensions starting with [67] using a generalization of the MPS state class[68]. The goal of this paper cannot be to provide a full review of DMRG since 1992 as seen from the perspective of 2010, in particular given the review[7], which tries to provide a fairly extensive account of D ...
Dynamics of the two-spin spin-boson model with a
Dynamics of the two-spin spin-boson model with a

... By solving Eq. (31), we obtain the reduced density matrix ρS′ (t) in the variational framework, which can be related to density matrix in the original framework by the relation ρS(t) = TrB[e−S ρS′ (t)ρBe S ] ...
PowerPoint 演示文稿 - at www.arxiv.org.
PowerPoint 演示文稿 - at www.arxiv.org.

... phenomena are present in the normal state, their underlying physics is crucial to the understanding of high-Tc superconductivity. 2.1. Metal-insulator transitions Metal-insulator transitions (MITs) mean huge change in resistivity, by even tens of orders of magnitude, which have been widely observed ...
Non-collinear Magnetoelectronics Abstract
Non-collinear Magnetoelectronics Abstract

... meaning that size quantization effects on the transport properties may be disregarded [56]. In this limit the physics is most adequately described by semiclassical theories on the level of Boltzmann or diffusion equations. The spin accumulation is then just the difference in the local chemical potentia ...
Precision measurements of spin interactions with high density
Precision measurements of spin interactions with high density

... twice the alkali Larmor frequency. We study the dependence of spin-projection noise on the polarization for atoms with spin greater than 1/2 and develop a theoretical model that agrees well with the data. Finally, it is shown theoretically that QND measurements can improve the long-term sensitivity ...
Ground-state energy and excitation spectrum of the Lieb
Ground-state energy and excitation spectrum of the Lieb

... would be comparable to the ones accessed by numerical methods. For this purpose, we start from the strongly interacting regime. We use a systematic method to obtain corrections to the TG limit up to high orders. Since this method is intrinsically limited to high interaction strength and the converge ...
Preparing topologically ordered states by Hamiltonian
Preparing topologically ordered states by Hamiltonian

... To use topologically ordered systems as quantum memories and for fault-tolerant quantum computation, concrete procedures for the preparation of specific ground states are required. Such mechanisms depend on the model Hamiltonian which is being realized as well as on the particular experimental reali ...
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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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