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We prove an upper bound on the excess charge for non-relativistic atomic systems, independent of the particle statistics. This result improves Lieb's bound of 1984 for any $Z \ge 12$.

Mathematical Physics · Physics 2025-11-12 Rafael D. Benguria , Juan Manuel González-Brantes

We show, via explicit computation on a constrained bosonic model, that the presence of subsystem symmetries can lead to a quantum phase transition (QPT) where the critical point exhibits an emergent enhanced symmetry. Such a transition…

Strongly Correlated Electrons · Physics 2025-08-27 Anirudha Menon , Anwesha Chattopadhyay , K. Sengupta , Arnab Sen

Parity-odd domains, corresponding to non-trivial topological solutions of the QCD vacuum, might be created during relativistic heavy ion collisions. These domains are predicted to lead to charge separation of quarks along the system's…

Nuclear Experiment · Physics 2010-01-11 The STAR Collaboration , B. I. Abelev

In this work, we discuss the deconfinement phase transition to quark matter in hot/dense matter. We {examine} the effect that different charge fractions, isospin fractions, net strangeness, and chemical equilibrium with respect to leptons…

We study one of the simplest integrable two-dimensional quantum field theories with a boundary: $N$ free non-compact scalars in the bulk, constrained non-linearly on the boundary to lie on an $(N-1)$-sphere of radius $1/\sqrt{g}$. The $N=1$…

High Energy Physics - Theory · Physics 2026-05-12 Mohsen Gheisarieha , Ramtin M. Yazdi , Arash Arabi Ardehali

Fully relativistic approach to evaluate the correlation effects in highly charged ions is presented. The interelectronic-interaction contributions of first and second orders in $1/Z$ are treated rigorously within the framework of…

Atomic Physics · Physics 2019-12-18 Y. S. Kozhedub , A. V. Malyshev , D. A. Glazov , V. M. Shabaev , I. I. Tupitsyn

A solvable quantum $LC$ circuit with charge discreteness is studied. Two discrete spectral branches are obtained: (i) the normal branch corresponding to a charged capacitor with integer effective charge $k=q_{e}n$ ($q_{e}$ elementary…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. C. Flores

Groundstates of certain materials can support exotic excitations with a charge that's a fraction of the fundamental electron charge. The condensation of these fractionalized particles has been predicted to drive novel quantum phase…

Strongly Correlated Electrons · Physics 2015-03-19 Sergei V. Isakov , Roger G. Melko , Matthew B. Hastings

Filling factor $\nu=1$ bilayer electron systems in the quantum Hall regime have an excitonic-condensate superfluid ground state when the layer separation $d$ is less than a critical value $d_c$. On a quantum Hall plateau current injected…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Abolfath , A. H. MacDonald , L. Radzihovsky

We consider a one-dimensional classical Wigner jellium, not necessarily charge neutral, for which the electrons are allowed to exist beyond the support of the background charge. The model can be seen as a one-dimensional Coulomb gas in…

Probability · Mathematics 2022-04-26 Djalil Chafaï , David García-Zelada , Paul Jung

Electron parallel closures for the ion charge number $Z=1$ [J.-Y. Ji and E. D. Held, Phys. Plasmas \textbf{21}, 122116 (2014)] are extended for $1\le Z\le10$. Parameters are computed for various $Z$ with the same form of the $Z=1$ kernels…

Plasma Physics · Physics 2019-06-24 Jeong-Young Ji , Sang-Kyeun Kim , Eric D. Held , Yong-Su Na

The S=1/2 Heisenberg model is considered on bilayer and single-layer square lattices with couplings J1, J2, and with each spin belonging to one J2-coupled dimer. A transition from a Neel to disordered ground state occurs at a critical value…

Strongly Correlated Electrons · Physics 2007-07-28 Anders W. Sandvik

Zero-range processes, in which particles hop between sites on a lattice, are closely related to equilibrium networks, in which rewiring of links take place. Both systems exhibit a condensation transition for appropriate choices of the…

Statistical Mechanics · Physics 2009-11-11 A. G. Angel , M. R. Evans , E. Levine , D. Mukamel

We investigate the entanglement between two separated segments in the vacuum state of a free 1D Klein-Gordon field, where explicit computations are performed in the continuum limit of the linear harmonic chain. We show that the…

Quantum Physics · Physics 2013-05-29 S. Marcovitch , A. Retzker , M. B. Plenio , B. Reznik

We have investigated chiral edges of a quantum Hall(QH) liquid at filling factor \nu=2. We find that spin and charge separate in the presence of the long-range Coulomb interaction, and the tunneling density of states(DOS) is given by…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 H. C. Lee , S. -R. Eric Yang

Topological classifications of quantum critical systems have recently attracted growing interest, as they go beyond the traditional paradigms of condensed matter and statistical physics. However, such classifications remain largely…

Statistical Mechanics · Physics 2026-02-03 Sheng Yang , Hai-Qing Lin , Xue-Jia Yu

We study the quasiperiodic Harper's model in order to give further support for a possible universality of the critical spectral statistics. At the mobility edge we numerically obtain a scale-invariant distribution of the bands $S$, which is…

Disordered Systems and Neural Networks · Physics 2009-10-31 S. N. Evangelou , J. -L. Pichard

We study charge ordering in the extended Hubbard model with both on-site and nearest neighbor Coulomb repulsion (U and V, respectively) within the Coherent potential approximation (CPA). The phase boundary between the homogeneous and charge…

Strongly Correlated Electrons · Physics 2018-02-07 A. T. Hoang , P. Thalmeier

The dynamic critical exponent $z$ is determined from numerical simulations for the three-dimensional (3D) lattice Coulomb gas (LCG) and the 3D XY models with relaxational dynamics. It is suggested that the dynamics is characterized by two…

Superconductivity · Physics 2007-05-23 Petter Minnhagen , Beom Jun Kim , Hans Weber

Possibility of electronic charge and spin separation leading to charge density wave and spin density wave is well established in one dimensional systems in presence and absence of Coulomb interaction. We start from quasi one dimension and…

Mesoscale and Nanoscale Physics · Physics 2013-07-17 Urbashi Satpathi , Sumit Ghosh , A. K. Ray , P. Singha Deo