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Ginzburg-Landau theory of continuous phase transitions implicitly assumes that microscopic changes are negligible in determining the thermodynamic properties of the system. In this work we provide an example that clearly contrasts with this…

Statistical Mechanics · Physics 2022-03-09 Vanja Marić , Gianpaolo Torre , Fabio Franchini , Salvatore Marco Giampaolo

We study ordering mechanisms which are induced by the quantum fluctuation in fully frustrated Ising spin systems. Since there are many degenerated states in frustrated systems, "order by thermal disorder" often takes place due to a kind of…

Statistical Mechanics · Physics 2011-04-19 Shu Tanaka , Masaki Hirano , Seiji Miyashita

We study frustrated quantum spin systems consisting of dimers of spin-1/2 spins. We derive several models that have the exact ground state of the form of the direct product of dimer states. The ground states realized include the product…

Statistical Mechanics · Physics 2017-04-26 Toshiya Hikihara , Takashi Tonegawa , Kiyomi Okamoto , Tôru Sakai

The frustration properties of the Ising model on a one-dimensional monoatomic equidistant lattice are investigated taking into account the exchange interactions of atomic spins at the sites of the first (nearest), second (next-nearest) and…

Statistical Mechanics · Physics 2022-06-22 A. V. Zarubin , F. A. Kassan-Ogly , A. I. Proshkin

We argue that collinearly ordered states which exist in strongly frustrated spin systems for special rational values of the magnetization are stabilized by thermal as well as quantum fluctuations. These general predictions are tested by…

Strongly Correlated Electrons · Physics 2009-11-07 A. Honecker , O. A. Petrenko , M. E. Zhitomirsky

The exact factorized ground state of a heterogeneous (ferrimagnetic) spin model which is composed of two spins ($\rho, \sigma$) has been presented in detail. The Hamiltonian is not necessarily translational invariant and the exchange…

Strongly Correlated Electrons · Physics 2012-03-03 J. Abouie , M. Rezai , A. Langari

Solving for quantum ground states is important for understanding the properties of quantum many-body systems, and quantum computers are potentially well-suited for solving for quantum ground states. Recent work has presented a nearly…

Quantum Physics · Physics 2023-08-23 Matthew Thibodeau , Bryan K. Clark

We have found the exact ground state for two frustrated quantum spin-1/2 models on a linear chain. The first model describes ferromagnet- antiferromagnet transition point. The singlet state at this point has double-spiral ordering. The…

Strongly Correlated Electrons · Physics 2009-10-31 D. V. Dmitriev , V. Ya. Krivnov , A. A. Ovchinnikov

A misfit parameter is used to characterize the degree of frustration of ordered and disordered systems. It measures the increase of the ground-state energy due to frustration in comparison with that of a relevant reference state. The misfit…

Condensed Matter · Physics 2009-10-28 S. Kobe , T. Klotz

We introduce a method for analyzing ground state properties of quantum many body systems, based on the characterization of separability and entanglement by single subsystem unitary operations. We apply the method to the study of the ground…

Quantum Physics · Physics 2008-01-19 S. M. Giampaolo , F. Illuminati , P. Verrucchi , S. De Siena

We introduce a frustrated spin 1/2 Hamiltonian which is an extension of the two dimensional $J_1 - J_2$ Heisenberg model. The ground states of this model are exactly obtained at a first order quantum phase transition between two regions…

Strongly Correlated Electrons · Physics 2009-11-10 C. D. Batista , S. A. Trugman

In this paper, we propose a method to understand the nature for the quantum disorder phase of the two-dimensional (2D) high spin frustrated model. The ground state and excitation properties of a fully frustrated 2D spin-1 model are studied…

Strongly Correlated Electrons · Physics 2007-08-27 Zi Cai , Shu Chen , Supeng Kou , Yupeng Wang

We study the ground state (GS) many-body quantum entanglement of two different transverse field models on a quasi-2D square lattice relevant to a Hydrogen-bonded crystal, i.e, squaric acid. We measure the genuine multipartite…

Strongly Correlated Electrons · Physics 2021-02-01 Vikas Vijigiri , K G Paulson , Saptarshi Mandal , A M Jayannavar

We find that ground states of the quantum Heisenberg antiferromagnet on the geometrically frustrated pyrochlore checkerboard lattice are singlets and can be expressed in terms of positive matrices. The magnetization at zero external field…

Mathematical Physics · Physics 2009-10-31 Elliott H. Lieb , Peter Schupp

We predict and observed novel highly anisotropic magnetic patterns obtained in the model of frustrated planar interacting magnetic moments (the classical $X-Y$ model) on the regular kagome lattice. The frustration is provided by the…

Pattern Formation and Solitons · Physics 2020-10-28 A. Andreanov , M. V. Fistul

A fundamental challenge in quantum physics is determining the ground-state properties of many-body systems. Whereas standard approaches, such as variational calculations, consist of writing down a wave function ansatz and minimizing over…

Quantum Physics · Physics 2026-04-03 Jie Wang , David Jansen , Irénée Frerot , Marc-Olivier Renou , Victor Magron , Antonio Acín

We have found the exact (factorized) ground state of a general class of ferrimagnets in the presence of a magnetic field which covers the frustrated, anisotropic and long range interactions for arbitrary dimensional space. In particular…

Statistical Mechanics · Physics 2013-05-29 M. Rezai , A. Langari , J. Abouie

We use a recently proposed perturbative numerical renormalization group algorithm to investigate ground-state properties of a frustrated three dimensional Heisenberg model on an anisotropic lattice. We analyze the ground state energy, the…

Strongly Correlated Electrons · Physics 2007-05-23 S. Moukouri , J. V. Alvarez

We study frustrated, two-dimensional, quantum antiferromagnets in the vicinity of a quantum transition from a non-collinear, magnetically-ordered ground state to a quantum disordered phase. The general scaling properties of this transition…

Condensed Matter · Physics 2009-10-22 Andrey V. Chubukov , Subir Sachdev , T. Senthil

The study of quantum frustrated systems remains one of the most challenging subjects of quantum magnetism, as they can hold quantum spin liquids, whose characterization is quite elusive. The presence of gapped quantum spin liquids…

Strongly Correlated Electrons · Physics 2019-10-16 D. Castells-Graells , A. Yuste , A. Sanpera