, 2010 The field induced quantum critical properties of the three dimensional spin-1/2 anisotropic antiferromagnetic Heisenberg model has been studied. We have investigated the quantum phase transition between the spiral order and field induced ferromagnetic ...
A. Abrikosov +5 more
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Normalized solutions for Schrödinger equations with critical Sobolev exponent and mixed nonlinearities [PDF]
Journal of Functional Analysis, 2021 Juncheng Wei, Yuanze Wu
semanticscholar +1 more source
Homological dimension and critical exponent of Kleinian groups [PDF]
, 2007 We prove that the relative homological dimension of a Kleinian group G does not exceed 1 + the critical exponent of G. As an application of this result we show that for a geometrically finite Kleinian group G, if the topological dimension of the limit ...
Kapovich, Michael
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Schrodinger-Poisson systems with singular potential and critical exponent
Electronic Journal of Differential Equations, 2020 In this article we study the Schrodinger-Poisson system $$\displaylines{ -\Delta u +V(|x|)u+\lambda\phi u = f(u), \quad x\in\mathbb{R}^3, \cr -\Delta \phi =u^2, \quad x\in\mathbb{R}^3, }$$ where V is a singular potential with the parameter $\alpha ...
Senli Liu, Haibo Chen, Zhaosheng Feng
doaj
Topological quantum number and critical exponent from conductance fluctuations at the quantum Hall plateau transition [PDF]
, 2011 The conductance of a two-dimensional electron gas at the transition from one quantum Hall plateau to the next has sample-specific fluctuations as a function of magnetic field and Fermi energy.
I. C. Fulga +3 more
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Accurate estimate of the critical exponent nu for self-avoiding walks via a fast implementation of the pivot algorithm. [PDF]
Physical Review Letters, 2010 We introduce a fast implementation of the pivot algorithm for self-avoiding walks, which we use to obtain large samples of walks on the cubic lattice of up to 33x10{6} steps. Consequently the critical exponent nu for three-dimensional self-avoiding walks
N. Clisby
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Critical behavior of the Widom-Rowlinson mixture: coexistence diameter and order parameter
, 2006 The critical behavior of the Widom-Rowlinson mixture [J. Chem. Phys. 52, 1670 (1970)] is studied in d=3 dimensions by means of grand canonical Monte Carlo simulations. The finite size scaling approach of Kim, Fisher, and Luijten [Phys. Rev. Lett.
Vink, R. L. C.
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Blow-up theorems of Fujita type for a semilinear parabolic equation with a gradient term
Advances in Difference Equations, 2018 This paper deals with the existence and non-existence of the global solutions to the Cauchy problem of a semilinear parabolic equation with a gradient term.
Yang Na +3 more
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Dynamical critical exponent of the Jaynes-Cummings-Hubbard model [PDF]
, 2011 An array of high-Q electromagnetic resonators coupled to qubits gives rise to the Jaynes-Cummings-Hubbard model describing a superfluid to Mott-insulator transition of lattice polaritons.
M. Hohenadler +3 more
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One-arm exponent for critical 2D percolation [PDF]
, 2001 The probability that the cluster of the origin in critical site percolation on the triangular grid has diameter larger than $R$ is proved to decay like $R^{-5/48}$ as $R\to\infty$
Lawler, Gregory F. +2 more
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