Geben Sie es weiter, tauschen Sie es ein, © 1998-2020,, Inc. oder Tochtergesellschaften. The transverse field Ising and XY models (the simplest quantum spin models) provide the organising principle for the rich variety of interconnected subjects which are covered in this book. After postdoctoral experience at the Max Planck Institute for the Physics of Complex Systems in Dresden, Germany, and at Wuerzburg University, Germany, he joined the Indian Institute of Technology, Kanpur, in 2003, where he is currently a professor. Quantum spin glasses; References; << 34 0 obj You will only need to do this once. Other random quantum critical points and quantum disordered phases that can exhibit similar features are discussed briefly. << /P 33 0 R 37 0 obj He is a regular associate of the Abdus Salam International Center for Theoretical Physics, Trieste, Italy. Volume 6, We apply a worm algorithm to simulate the quantum transverse-field Ising model in a path-integral representation of which the expansion basis is taken as the spin component along the external-field direction. /V 10 0 R /P 24 0 R >> By means of a Jordan-Wigner transformation for even and odd sites, we are able to map it into a one-dimensional model of free fermions. Ihre zuletzt angesehenen Artikel und besonderen Empfehlungen. Spectral functions and damping, Thermal and magnetic properties of the transverse Ising model, The anisotropic Heisenberg ferromagnet with arbitrary field direction. /V 19 0 R By means of a Jordan-Wigner transformation for even and odd sites, we are able to map it into a one-dimensional model of free fermions. 5 0 obj Wiederholen Sie die Anforderung später noch einmal. Entdecken Sie jetzt alle Amazon Prime-Vorteile. /P 4 0 R Todos los derechos reservados. << This is to be compared to increasing temperature in the classical Ising model, where it's thermal fluctuations that cause a classical phase transition from a ferromagnetic to a paramagnetic state. /N 6 0 R No se ha podido agregar el producto a la Wish List. >> /N 32 0 R >> antiferromagnets; 20. – ggf. Oxford, UK. This is done within the context of the model introduced in the first paper of this series by computing the spin correlation functions on the boundary of a half-plane of random Ising spins, where the boundary row is allowed to intereact with a magnetic field H. We find that as T→Tc- the average boundary spontaneous magnetization vanishes as Tc-T. In all cases, at least the first two terms of the asymptotic series are explicitly given. Physics close to and above the upper-critical dimension; 15. /P 30 0 R << Published under licence by IOP Publishing Ltd Journal of Physics C: Solid State Physics, Volume 6, Number 15. Finally, we make the probabilistic nature of the boundary spontaneous magnetization more precise by computing its probability distribution function. /R [46 346 566 469 ] TmAsO4 undergoes a cooperative Jahn-Teller distortion at 6.0 K. At Tc at which a cooperative distortion back to the high-temperature phase occurs. stream /N 31 0 R endobj Leider ist ein Problem beim Speichern Ihrer Cookie-Einstellungen aufgetreten. >> endobj This system undergoes a transition at zero temperature from a phase with infinite susceptibility and continuously variable exponents to a ferromagnetic phase via a quantum critical point characterized by ``tunneling scaling'' with energy Omega and length scales, L, related by ln Omega ~ Lpsi. If we add a transverse field, I think there will be difference, the Hamiltonian is: In FeCl2 a polymorphic transformation (presumably between CdCl2 and CdI2 structure types) is observed near 2 kbar, which is accompanied by a 12% increase in the transition field. Also, a number of condensed matter systems can be modeled accurately in this approach, hence granting the possibility to compare advanced models with actual experimental results. Por favor, inténtalo de nuevo más tarde. Published under licence by IOP Publishing Ltd Dezember 2012, Beliebte Taschenbuch-Empfehlungen des Monats, Springer; 2nd ed. << We introduce quantum fluctuations into the simulated annealing process of optimization problems, aiming at faster convergence to the optimal state. endobj The system evolves from an ordered to a paramagnetic state as the amplitude of the random field is increased. /N 13 0 R We propose that this effect can be due to random impurities and substantiate our proposal by a study of an Ising model containing such impurities. Fermi liquids, and III. endobj >> The behavior near T=0 is studied in the isotropic case by considering the N-->∞ limit with TN fixed, while in the anisotropic case we must hold T2N fixed as N-->∞. Variation an der Kasse je nach Lieferadresse. Figures. 26 0 obj 1 0 obj /Width 77 /V 32 0 R 6 0 obj 3) rotor /V 6 0 R Citation . Exact results in one dimension and a scaling picture in higher dimensions are derived from a simple renormalization group. Heat Capacity and Entropy of CuCl2 and CrCl2 from 11° to 300°K.

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