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20112026
most citedBy-passing the Kohn-Sham equations with machine learning

729 citations

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13 papers · 1 filter

math-ph2022★ 5 cited

Motion of Lee-Yang zeros

Qi Hou, Jianping Jiang, Charles M. Newman

We consider the zeros of the partition function of the Ising model with ferromagnetic pair interactions and complex external field. Under the assumption that the graph with strictl…

math-ph2021★ 3 cited

Local Central Limit Theorem for Long-Range Two-Body Potentials at Sufficiently High Temperatures

Eric O. Endo, Vlad Margarint

Dobrushin and Tirozzi [14] showed that, for a Gibbs measure with the finite-range potential, the Local Central Limit Theorem is implied by the Integral Central Limit Theorem. Campa…

math-ph2019

Lack of phase transitions in staggered magnetic systems. A comparison of uniqueness criteria

Roberto Fernández, Manuel González-Navarrete, Eugene Pechersky +1

We study a ferromagnetic Ising model with a staggered cell-board magnetic field previously proposed for image processing [Maruani et al., Markov Processes Relat. Fields 1 (1995) \c…

math-ph2017

A continuum of pure states in the Ising model on a halfplane

Douglas Abraham, Charles M. Newman, Senya Shlosman

We study the homogeneous nearest-neighbor Ising ferromagnet on the right half plane with a Dobrushin type boundary condition --- say plus on the top part of the boundary and minus…

math-ph2017★ 1 cited

Lee-Yang Property and Gaussian multiplicative chaos

Charles M. Newman, Wei Wu

The Lee-Yang property of certain moment generating functions having only pure imaginary zeros is valid for Ising type models with one-component spins and XY models with two-compone…

math-ph2016★ 5 cited

Zero-Temperature Fluctuations in Short-Range Spin Glasses

L. -P. Arguin, C. M. Newman, D. L. Stein +1

We consider the energy difference restricted to a finite volume for certain pairs of incongruent ground states (if they exist) in the d-dimensional Edwards-Anderson (EA) Ising spin…

math-ph2015★ 4 cited

Stability of gas measures under perturbations and discretizations

Roberto Fernández, Pablo Groisman, Santiago Saglietti

For a general class of gas models ---which includes discrete and continuous Gibbsian models as well as contour or polymer ensembles--- we determine a \emph{diluteness condition} th…

math-ph2015★ 4 cited

Mixed normal-superconducting states in the presence of strong electric currents

Yaniv Almog, Bernard Helffer, Xing-Bin Pan

We study the Ginzburg-Landau equations in the presence of large electric currents, that are smaller than the critical current where the normal state losses its stability. For stead…

math-ph2015★ 5 cited

Large Fluctuations and Singular Behavior of Nonequilibrium Systems

Daniele Pinna, Andrew D. Kent, Daniel L. Stein

We present a general geometrical approach to the problem of escape from a metastable state in the presence of noise. The accompanying analysis leads to a simple condition, based on…

math-ph2015★ 7 cited

Topologically Stratified Energy Minimizers in a Product Abelian Field Theory

Xiaosen Han, Yisong Yang

We study a recently developed product Abelian gauge field theory by Tong and Wong hosting magnetic impurities. We first obtain a necessary and sufficient condition for the existenc…

math-ph2015★ 30 cited

Resolution of Chern--Simons--Higgs Vortex Equations

Xiaosen Han, Chang-Shou Lin, Yisong Yang

It is well known that the presence of multiple constraints of non-Abelian relativisitic Chern--Simons--Higgs vortex equations makes it difficult to develop an existence theory when…

math-ph2015★ 1 cited

Existence of Hyperbolic Calorons

Lesley Sibner, Robert Sibner, Yisong Yang

Recent work of Harland shows that the -symmetric, dimensionally-reduced, charge- self-dual Yang--Mills calorons on the hyperbolic space may be obtained t…

math-ph2012★ 26 cited

Existence Theorems for Vortices in the Aharony--Bergman--Jaferis--Maldacena Model

Xiaosen Han, Yisong Yang

A series of sharp existence and uniqueness theorems are established for the multiple vortex solutions in the supersymmetric Chern--Simons--Higgs theory formalism of Aharony, Bergma…