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We utilize neural network quantum states (NQS) to investigate the ground state properties of the Heisenberg model on a Shastry-Sutherland lattice using the variational Monte Carlo method. We show that already relatively simple NQSs can be…

Disordered Systems and Neural Networks · Physics 2024-02-07 Matěj Mezera , Jana Menšíková , Pavel Baláž , Martin Žonda

A simple approach to estimation of the ground state energy of quantum antiferromagnets is developed, based on the approximation that quantum fluctuations around different bonds are independent. The ground state energy estimates are as good…

Strongly Correlated Electrons · Physics 2013-08-27 Christian Rischel

A system at filling factor 2/3 could be a candidate for a quantum Hall ferromagnet at integer filling factor of composite fermions. Using exact diagonalization with electrons on a torus we study the transition from the singlet ground state…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Karel Vyborny

We construct an extended quantum spin chain model by introducing new degrees of freedom to the Fredkin spin chain. The new degrees of freedom called arrow indices are partly associated to the symmetric inverse semigroup $\cS^3_1$. Ground…

Quantum Physics · Physics 2019-01-30 Pramod Padmanabhan , Fumihiko Sugino , Vladimir Korepin

We propose an improved parametric form for the equation of state of three-dimensional O(N) spin systems. The proposed form is a series expansion with two sets of terms, which contribute (mainly) separately to the description of the high-…

High Energy Physics - Lattice · Physics 2009-11-10 Attilio Cucchieri , Tereza Mendes

A fundamental motif in frustrated magnetism is the fully mutually coupled cluster of $N$ spins, with each spin coupled to every other spin. Clusters with $N=2$ and $3$ have been extensively studied as building blocks of square and…

Strongly Correlated Electrons · Physics 2018-02-07 Subhankar Khatua , R. Shankar , R. Ganesh

Neural network quantum states provide a novel representation of the many-body states of interacting quantum systems and open up a promising route to solve frustrated quantum spin models that evade other numerical approaches. Yet its…

Strongly Correlated Electrons · Physics 2022-01-19 Eric Zou , Erik Long , Erhai Zhao

Quantum computing offers potential solutions for finding ground states in condensed-matter physics and chemistry. However, achieving effective ground state preparation is also computationally hard for arbitrary Hamiltonians. It is necessary…

We investigate spin and orbital states of the two-orbital Hubbard model on a square lattice by using a variational Monte Carlo method at quarter-filling, i.e., the electron number per site is one. As a variational wave function, we consider…

Strongly Correlated Electrons · Physics 2009-08-07 Katsunori Kubo

We examine magnetic structures of electron systems on an extended triangular lattice that consists of two types of bond triangles with electron transfer energies t_l and t'_l (l = 1, 2, and 3), respectively. We examine the ground state in…

Strongly Correlated Electrons · Physics 2021-12-02 Yuki Kono , Hiroshi Shimahara

We study the equilibrium spin configuration of the 2D Hubbard model at low doping, when a long-range magnetic order is still present. We use the spin-density-wave formalism and examine the two suggested candidates for a ground state: the…

Condensed Matter · Physics 2016-08-31 Andrey V. Chubukov , Karen A. Musaelian

Quantum Monte Carlo (QMC) simulations are performed to study ground-state properties of a mixed spin-1 and spin-1/2 Lieb-lattice Heisenberg antiferromagnet, in order to get further insight beyond the modified spin-wave (MSW) study reported…

Statistical Mechanics · Physics 2017-07-12 Yuhei Hirose , Shoma Miura , Chitoshi Yasuda , Yoshiyuki Fukumoto

We investigate global logarithmic asymptotics of ground states for a family of quantum mean field models. Our approach is based on a stochastic representation and a combination of large deviation and weak KAM techniques. The spin- 1/2 case…

Probability · Mathematics 2015-06-11 Dmitry Ioffe , Anna Levit

We introduce antiferromagnetic quantum fluctuations into quantum annealing in addition to the conventional transverse-field term. We apply this method to the infinite-range ferromagnetic p-spin model, for which the conventional quantum…

Quantum Physics · Physics 2012-05-14 Yuya Seki , Hidetoshi Nishimori

We study the ground state of the two-dimensional (2D) disordered Hubbard model by means of the projector quantum Monte Carlo (PQMC) method. This approach allows us to investigate the ground state properties of this model for lattice sizes…

Disordered Systems and Neural Networks · Physics 2009-10-31 Gaetan Caldara , Bhargavi Srinivasan , Dima Shepelyansky

We present a set of {\em optimum ground states} for a large class of spin-$\frac{3}{2}$ chains. Such global ground states are simultaneously ground states of the local Hamiltonian, i.e. the nearest neighbour interaction in the present case.…

Condensed Matter · Physics 2009-10-28 H. Niggemann , J. Zittartz

The ground state properties of random-exchange spin-1/2 Heisenberg antiferromagnets on the square lattice are investigated using a combination of quantum Monte Carlo simulations, exact numerical diagonalizations, and spin wave calculations.…

Strongly Correlated Electrons · Physics 2007-05-23 Nicolas Laflorencie , Stefan Wessel , Andreas Laeuchli , Heiko Rieger

The challenge of one-dimensional systems is to understand their physics beyond the level of known elementary excitations. By high-resolution neutron spectroscopy in a quantum spin ladder material, we probe the leading multiparticle…

Strongly Correlated Electrons · Physics 2017-05-03 S. Ward , P. Bouillot , C. Kollath , T. Giamarchi , K. P. Schmidt , B. Normand , K. W. Krämer , D. Biner , R. Bewley , T. Guidi , M. Boehm , D. F. McMorrow , Ch. Rüegg

Using both the density-matrix renormalization group method and the constrained-path quantum Monte Carlo method, we have studied the ground-state energies and the spin and hole densities of a $12 \times 3$ Hubbard model with open boundary…

Strongly Correlated Electrons · Physics 2007-05-23 J. Bonca , J. E. Gubernatis , M. Guerrero , Eric Jeckelmann , Steven R. White

We present thermodynamic phase diagrams showing magnetic analog of "three states of matter," namely, spin liquid, paramagnetic, and magnetically ordered phases, obtained by unbiased quantum Monte Carlo simulations. Our simulations are…

Strongly Correlated Electrons · Physics 2015-09-30 Yoshitomo Kamiya , Yasuyuki Kato , Joji Nasu , Yukitoshi Motome
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