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We develop an alternative scaling approach to determine the criteria for Anderson localization in one-dimensional tight-binding models with random site energies having a bandwidth that decays as a power law in space, $H_{ij} \propto |i -…

Disordered Systems and Neural Networks · Physics 2008-10-27 Shimul Akhanjee

Many-electron correlation methods offer a systematic approach to predicting material properties with high precision. However, practically attaining accurate ground-state properties for bulk metals presents significant challenges. In this…

Materials Science · Physics 2025-01-07 Tobias Schäfer

The many-anyons wavefunction is constructed via the superposition of all the permutations on the direct product of single anyon states and its interchange properties are examined. The phase of permutation is not a representation but the…

Statistical Mechanics · Physics 2015-04-02 Qiang Zhang , Bin Yan

We use the polynomial formulation of the holomorphic anomaly equations governing perturbative topological string theory to derive the free energies in a scaling limit to all orders in perturbation theory for any Calabi-Yau threefold. The…

High Energy Physics - Theory · Physics 2021-09-21 Murad Alim , Shing-Tung Yau , Jie Zhou

Model independent search for signals of heavy Z' gauge bosons in low-energy four-fermion processes is analyzed. It is shown that the renormalizability of the underlying theory containing Z', formulated as a scattering in the field of heavy…

High Energy Physics - Phenomenology · Physics 2011-09-13 A. V. Gulov , V. V. Skalozub

With the use of a certain type of the Schwinger boson representation of the su(4) algebra, the Bonn model for many-quark systems and an extension of the model, in which the energies of the various exact states are controled, namely, the…

Nuclear Theory · Physics 2010-04-21 Y. Tsue , C. Providencia , J. da Providencia , M. Yamamura

A theory for an electron affinity of ionic clusters is proposed both in a quasiclassical approach and with quantization of a polarization electric field in a nanoparticle. An interaction of an electron with longitudinal optical phonons in…

Mesoscale and Nanoscale Physics · Physics 2012-11-27 K. V. Grigorishin , B. I. Lev

A central problem in many-body quantum physics is the determination of the ground state of a thermodynamically large physical system. We construct a cluster expansion for ground states of local Hamiltonians, which naturally incorporates…

Statistical Mechanics · Physics 2016-07-29 Alvise Bastianello , Spyros Sotiriadis

An approximate many-body theory incorporating two-body correlations has been employed to calculate low-lying collective multipole frequencies in a Bose-Einstein condensate containing $A$ bosons, for different values of the interaction…

Quantum Gases · Physics 2009-07-21 Anindya Biswas , Tapan Kumar Das

We compute the tunneling current in a double point contact geometry of a Quantum Hall system at filling fraction $\nu=5/2$, as function of voltage and temeprature, in the weak tunneling regime. We quantitatively compare two possible…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Waheb Bishara , Chetan Nayak

Accurate solution of the many-electron problem including correlations remains intractable except for few-electron systems. Describing interacting electrons as a superposition of independent electron configurations results in an apparent…

Computational Physics · Physics 2024-02-20 J. C. Greer

Standard analytical construction of the many-body wave function of interacting particles in one dimension, beyond mean-field theory, is based on the Jastrow approach. The many-body interacting ground state is build up from the ground state…

Quantum Gases · Physics 2018-09-05 Przemysław Kościk , Marcin Płodzień , Tomasz Sowiński

We examine the quantisation of a collective Hamiltonian for the two-baryon system derived by us in a previous paper. We show that by increasing the sophistication of the approximations we can obtain a bound state - or a resonance - not too…

High Energy Physics - Phenomenology · Physics 2009-10-28 Niels R. Walet

The Pfaffian quantum Hall states, which can be viewed as involving pairing either of spin-polarized electrons or of composite fermions, are generalized by finding the exact ground states of certain Hamiltonians with k+1-body interactions,…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 N. Read , E. Rezayi

The eigenvalue absorption for a many-particle Hamiltonian depending on a parameter is analyzed in the framework of non-relativistic quantum mechanics. The long-range part of pair potentials is assumed to be pure Coulomb and no restriction…

Mathematical Physics · Physics 2012-10-23 Dmitry K. Gridnev

The ground-state energy of a three-dimensional polaron gas in a magnetic field is investigated. An upper bound for the ground-state energy is derived within a variational approach which is based on a many-body generalization of the…

Strongly Correlated Electrons · Physics 2007-05-23 K. Putteneers , F. Brosens , S. N. Klimin , J. T. Devreese

Studies of axion-like particles (ALPs) commonly focus on a single type of interaction, for example couplings only to photons. Most ALP models however predict correlations between different couplings, which change the phenomenology in…

High Energy Physics - Phenomenology · Physics 2020-07-15 Fatih Ertas , Felix Kahlhoefer

Many decision-making problems naturally exhibit pronounced structures inherited from the characteristics of the underlying environment. In a Markov decision process model, for example, two distinct states can have inherently related…

Machine Learning · Computer Science 2019-10-29 Bastian Alt , Adrian Šošić , Heinz Koeppl

The ability to support metastable current-carrying states in multiply-connected settings is one of the prime signatures of superfluidity. Such states are investigated theoretically for the case of trapped Bose condensed alkali gases,…

Statistical Mechanics · Physics 2009-10-30 Erich J. Mueller , Paul M. Goldbart , Yuli Lyanda-Geller

We study bosonic atoms with two internal states in artificial gauge potentials whose strengths are different for the two components. A series of topological phases for such systems is proposed using the composite fermion theory and the…

Quantum Gases · Physics 2016-08-03 Ying-Hai Wu , Tao Shi
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