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We investigate the quantum phase transitions in the frustrated antiferromagnetic Heisenberg model for $\rm SrCu_2(BO_3)_2$ by using the series expansion method. It is found that a novel spin-gap phase, which is adiabatically connected to…

Strongly Correlated Electrons · Physics 2009-10-31 Akihisa Koga , Norio Kawakami

Geometric measure of entanglement and geometric phase have recently been used to analyze quantum phase transition in the XY spin chain. We unify these two approaches by showing that the geometric entanglement and the geometric phase are…

Quantum Physics · Physics 2013-07-16 Vahid Azimi Mousolou , Carlo M. Canali , Erik Sjöqvist

A key problem in the field of quantum criticality is to understand the nature of quantum phase transitions in systems of interacting itinerant fermions, motivated by experiments on a variety of strongly correlated materials. Much attention…

Strongly Correlated Electrons · Physics 2021-06-30 Rufus Boyack , Hennadii Yerzhakov , Joseph Maciejko

Shape/phase transitions in atomic nuclei have first been discovered in the framework of the Interacting Boson Approximation (IBA) model. Critical point symmetries appropriate for nuclei at the transition points have been introduced as…

Nuclear Theory · Physics 2008-07-29 Dennis Bonatsos , E. A. McCutchan , N. V. Zamfir

Background: Type II shell evolution has recently been identified as a microscopic cause for nuclear shape coexistence. Purpose: Establish a low-lying rotational band in 96-Zr. Methods: High-resolution inelastic electron scattering and a…

We address the system with two species of vector bosons in an optical lattice. In addition to the the standard parameters characterizing such a system, we are dealing here with the "degree of atomic nonidentity", manifesting itself in the…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 A. M. Belemuk , N. M. Chtchelkatchev , A. V. Mikheyenkov , K. I. Kugel

We discuss the interrelation between phase transitions in interacting lattice or continuum models, and the existence of infinite clusters in suitable random-graph models. In particular, we describe a random-geometric approach to the phase…

Probability · Mathematics 2007-05-23 H. -O. Georgii

We present a correlation that we have revealed, for the first time, between both quantum concepts, namely: the Minimal Length (ML) and the Deformation Dependent Mass (DDM) in transitional nuclei near the critical points symmetries (CPS)…

Nuclear Theory · Physics 2018-08-23 S. Ait Elkorchi , M. Chabab , A. El Batoul , A. Lahbas , M. Oulne

After a brief history of neutron stars and supernovae recent developments are discussed. Based on modern nucleon-nucleon potentials more reliable equations of state for dense nuclear matter have been constructed. Furthermore, phase…

Astrophysics · Physics 2007-05-23 H. Heiselberg

The thermodynamic properties of nuclei are studied in a mean field model using a Skryme interaction. Properties of two component systems are investigated over the complete range of proton fraction from a system of pure neutrons to a system…

Nuclear Theory · Physics 2008-11-26 S. J. Lee , A. Z. Mekjian

The phase transition around the critical point in the evolution from spherical to deformed gamma-unstable shapes is investigated in odd nuclei within the Interacting Boson Fermion Model. We consider the particular case of an odd j=3/2…

Nuclear Theory · Physics 2008-11-26 C. E. Alonso , J. M. Arias , L. Fortunato , A. Vitturi

Background: The Po, Pb, Hg, and Pt region is known for the presence of coexisting structures that correspond to different particle-hole configurations in the Shell Model language or equivalently to nuclear shapes with different deformation.…

Nuclear Theory · Physics 2015-06-18 J. E. Garcia-Ramos , K. Heyde

I review in this chapter several classes of quantum phase transitions that occur in quasi-one dimensional systems. I start by examining the simple case of coupled spin chains and ladders, then move to the case of bosons, and finally deal…

Strongly Correlated Electrons · Physics 2015-05-19 Thierry Giamarchi

The evolution of the total energy surface and the nuclear shape in the isotopic chain $^{172-194}$Pt are studied in the framework of the interacting boson model, including configuration mixing. The results are compared with a…

Nuclear Theory · Physics 2015-06-18 J. E. Garcia-Ramos , K. Heyde , L. M. Robledo , R. Rodriguez-Guzman

We examine several well known quantum spin models and categorize behavior of pairwise entanglement at quantum phase transitions. A unified picture on the connection between the entanglement and quantum phase transition is given.

Quantum Physics · Physics 2009-11-11 Shi-Jian Gu , Guang-Shan Tian , Hai-Qing Lin

Phase transitions in neutron stars due to formation of quark matter, kaon condensates, etc. are discussed with particular attention to the order of these transitions. Observational consequences of phase transitions in pulsar angular…

Astrophysics · Physics 2007-05-23 Henning Heiselberg , Morten Hnorth-Jensen

We study the hadron-quark phase transition in the interior of hot protoneutron stars, combining the Brueckner-Hartree-Fock approach for hadronic matter with the MIT bag model or the Dyson-Schwinger model for quark matter. We examine the…

Solar and Stellar Astrophysics · Physics 2015-06-15 H. Chen , G. F. Burgio , H. -J. Schulze , N. Yasutake

We study an unconventional two-dimensional, two-component classical plasma on a sphere, with emphasis on detecting signatures of melting transitions. This system is relevant to Ising-type quantum Hall states, and is unconventional in the…

Statistical Mechanics · Physics 2013-02-14 Egil V. Herland , Egor Babaev , Parsa Bonderson , Victor Gurarie , Chetan Nayak , Leo Radzihovsky , Asle Sudbø

The abrupt structure change from the nuclei of $N=Z \le 35$ to those of $N=Z \ge 36$ is investigated by means of shell model calculations. The basic features of the even-even and odd-odd nuclei under consideration are nicely reproduced. A…

Nuclear Theory · Physics 2008-11-26 M. Hasegawa , K. Kaneko , T. Mizusaki , Y. Sun

We study a generalization of the two-dimensional transverse-field Ising model, combining both ferromagnetic and antiferromagnetic two-body interactions, that hosts exact global and local Z2 gauge symmetries. Using exact diagonalization and…

Strongly Correlated Electrons · Physics 2021-09-01 Kai-Hsin Wu , Zhi-Cheng Yang , Dmitry Green , Anders W. Sandvik , Claudio Chamon
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