/R [46 27 302 739 ] >> /V 32 0 R << >> 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. /P 30 0 R A perturbation expansion is then developed which provides for all temperatures an approximate description of the model. >> 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. endobj Wählen Sie ein Land/eine Region für Ihren Einkauf. /P 27 0 R >> /I << This work introduces these quantum Ising models and analyses them both theoretically and numerically in great detail. /WhitePoint [0.9505 1 1.089] Find out more. /Filter /LZWDecode >> We introduce quantum ﬂuctuations into the simulated annealing process of optimization problems, aiming at faster convergence to the optimal state. 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. The leading-order approximations for the correlation functions, susceptibilities and spectral functions are discussed in detail. 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 23 0 R endobj © 1996-2020, Amazon.com, Inc. o afiliados. endobj endobj @L`YKUJNGBP\poR=_;Dl'P(T
/Width 77 /P 33 0 R << Etwas ist schiefgegangen. Major advances have been made in both theoretical and experimental investigations of the nature and behavior of quantum phases and transitions in cooperatively interacting many-body quantum systems. endobj /V 9 0 R 6 0 obj >> /N 11 0 R Wir verwenden Cookies und ähnliche Tools, um Ihr Einkaufserlebnis zu verbessern, um unsere Dienste anzubieten, um zu verstehen, wie die Kunden unsere Dienste nutzen, damit wir Verbesserungen vornehmen können, und um Werbung anzuzeigen. >> (7Boo^^S:71(MN]ZQX/+Cbu.lK"p74pe1T%s.DY%&\1TdJhr54.M9au6>79n6`Q:4
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/V 3 0 R 2. /P 17 0 R /R [46 133 302 739 ] Download Article PDF. >> II. For modeling purposes, most of the current innovative and successful research in this field has been obtained by either directly or indirectly using the insights provided by quantum (or transverse field) Ising models because of the separability of the cooperative interaction from the tunable transverse field or tunneling term in the relevant Hamiltonian. 13 0 obj The Ising model is defined with the Hamiltonian: $$ H = -\sum_{*}S_i^z\cdot S_j^z $$ What is the difference between quantum version and classical version? /V 6 0 R – ggf. Correlation functions, Thermodynamic properties of a Heisenberg antiferromagnet. /P 20 0 R /V 25 0 R My intuition is that the classical version is equal to quantum version in any dimension and any lattice. Magnetic ordering 22 0 obj BibTeX Raman-scattering measurements on K${\mathrm{H}}_{2}$P${\mathrm{O}}_{4}$ reveal a broad, low-frequency ferroelectric mode which can be represented by a simple damped-harmonic-oscillator function. Number 15, R B Stinchcombe 1973 J. Phys. endobj >> 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. 37 0 obj Quantum Phase Transitions in Transverse Field Spin Models: From Statistical Physics to Quantum Information, Cambridge University Press (28 enero 2015). 35 0 obj << Magnetization in Quantum Transverse Ising Model: Mean Field Theory vs Reality. endobj /R [310 653 566 739 ] 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. temporär gesenkter USt. II. /N 32 0 R Oxford, UK. 5 0 obj For nonzero temperature we derive both low- and high-temperature expansions for all three correlations and show that these correlations go to zero exponentially as N-->∞. << 2013 Edition (14. 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. 9-d\DA=cZ0Q>gIM$$;cd2O@&a;X,Nn_aP(]I1aRc(K1^ue>
Observation of a magnetically controllable Jahn Teller distortion in dysprosium vanadate at low temperatures. /V 21 0 R Spin Correlation Functions, Theory of a Two-Dimensional Ising Model with Random Impurities. /R [46 471 302 739 ] 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-->∞. >> /N 10 0 R << C: Solid State Phys. /Height 99 << Außerdem analysiert es Rezensionen, um die Vertrauenswürdigkeit zu überprüfen. We study the effects which immobile random impurities may have on magnetic properties and spin-spin correlation functions of a ferromagnetic system properties the Curie temperature. You do not need to reset your password if you login via Athens or an Institutional login. J,g]g+e/h_!_gCtO=0f)$P%cIi8Zdfc5&3j_8$7g. The 1D transverse field Ising model can be solved exactly by mapping it to free fermions. /R [310 50 566 530 ] << Zugelassene Drittanbieter verwenden diese Tools auch in Verbindung mit der Anzeige von Werbung durch uns. /R [46 50 302 530 ] /V 13 0 R Ask Question Asked 7 months ago. A mathematical introdution. /Gamma [1.8 1.8 1.8] >> /V 29 0 R 6 2459. Whenever T-Tc=O(N-2), the average spin-spin correlation function for two spins on the boundary is shown to approach its limit at infinite separation as some inverse power of the separation instead of as an exponential. << endobj Active 7 months ago. 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. endobj 32 0 obj We contrast this with a lower bound that shows that the spontaneous magnetization can vanish no more rapidly than Tc-T, and present a description of how the local magnetization S∞(l)12 behaves as T-->Tc-. << We consider the one-dimensional X-Y model of Lieb, Schulz, and Mattis and study the asymptotic behavior of each of the three correlation functions =rhoNi, where i=x, y, or z. Title: Quantum Ising Model in an Alternating Transverse Field. endobj This self-contained book introduces quantum Ising models, which have proven useful in research into quantum phase transitions. *

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