4.7 Article

Broken-Symmetry Ground States of the Heisenberg Model on the Pyrochlore Lattice

Related references

Note: Only part of the references are listed.
Article Physics, Condensed Matter

Helping restricted Boltzmann machines with quantum-state representation by restoring symmetry

Yusuke Nomura

Summary: The article introduces a variational wave function method based on neural networks, showing excellent performance in solving quantum many-body state problems. By supplementing quantum-number projections to restore symmetry in the RBM wave function, state-of-the-art accuracy is achieved in both ground-state and excited-state calculations. The study provides a practical guideline for achieving accuracy in a controlled manner.

JOURNAL OF PHYSICS-CONDENSED MATTER (2021)

Article Physics, Multidisciplinary

Possible Inversion Symmetry Breaking in the S=1/2 Pyrochlore Heisenberg Magnet

Imre Hagymasi et al.

Summary: The study reveals a robust spontaneous inversion symmetry breaking in the S = 1/2 pyrochlore Heisenberg antiferromagnet, and suggests a scenario where a finite-temperature spin liquid regime transitions to a symmetry-broken state at low temperatures. The ground-state energy calculation and cluster size analysis provide insights into the properties of the quantum spin liquid candidate.

PHYSICAL REVIEW LETTERS (2021)

Article Physics, Multidisciplinary

Unitary Long-Time Evolution with Quantum Renormalization Groups and Artificial Neural Networks

Heiko Burau et al.

Summary: By combining quantum renormalization group approaches with deep artificial neural networks, we accurately describe the real-time evolution in strongly disordered quantum matter, including the effects of many-body resonances. Our method allows for the precise computation of long-time coherent dynamics in many-body localized systems, shedding light on the development of spin-glass order in random Ising chains. Furthermore, this approach can be applied to two-dimensional Ising models with strong disorder, demonstrating its potential for describing the real-time dynamics of nonergodic quantum matter in a general context.

PHYSICAL REVIEW LETTERS (2021)

Article Physics, Multidisciplinary

Learning the ground state of a non-stoquastic quantum Hamiltonian in a rugged neural network landscape

Marin Bukov et al.

Summary: This study investigates the performance of universal variational wave-functions based on artificial neural networks in describing low-temperature physics of strongly interacting quantum systems. The authors found that the rugged nature of the energy landscape is the major obstacle in finding a satisfactory approximation to the ground state wavefunction.

SCIPOST PHYSICS (2021)

Article Materials Science, Multidisciplinary

Variational classical networks for dynamics in interacting quantum matter

Roberto Verdel et al.

Summary: This study utilizes a variational method to efficiently compute the dynamics of correlated quantum matter, introducing a variational class of wave functions based on complex networks of classical spins and controlling their constructions to illustrate performance, particularly in investigating quantum quenches in one- and two-dimensional models. Furthermore, the study explores the nonequilibrium dynamics of a genuinely interacting two-dimensional quantum model, showing disorder-free localization dynamics.

PHYSICAL REVIEW B (2021)

Article Physics, Multidisciplinary

Deep Autoregressive Models for the Efficient Variational Simulation of Many-Body Quantum Systems

Or Sharir et al.

PHYSICAL REVIEW LETTERS (2020)

Article Multidisciplinary Sciences

Generalization properties of neural network approximations to frustrated magnet ground states

Tom Westerhout et al.

NATURE COMMUNICATIONS (2020)

Article Physics, Multidisciplinary

Neural network wave functions and the sign problem

Attila Szabo et al.

PHYSICAL REVIEW RESEARCH (2020)

Article Physics, Multidisciplinary

Deep learning-enhanced variational Monte Carlo method for quantum many-body physics

Li Yang et al.

PHYSICAL REVIEW RESEARCH (2020)

Article Materials Science, Multidisciplinary

Variational wave functions for the spin-Peierls transition in the Su-Schrieffer-Heeger model with quantum phonons

Francesco Ferrari et al.

PHYSICAL REVIEW B (2020)

Article Materials Science, Multidisciplinary

Adapting Planck's route to investigate the thermodynamics of the spin-half pyrochlore Heisenberg antiferromagnet

Oleg Derzhko et al.

PHYSICAL REVIEW B (2020)

Article Computer Science, Interdisciplinary Applications

mVMC-Open-source software for many-variable variational Monte Carlo method

Takahiro Misawa et al.

COMPUTER PHYSICS COMMUNICATIONS (2019)

Article Physics, Multidisciplinary

Continuum of quantum fluctuations in a three-dimensional S=1 Heisenberg magnet

K. W. Plumb et al.

NATURE PHYSICS (2019)

Article Physics, Multidisciplinary

Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions

Yasir Iqbal et al.

PHYSICAL REVIEW X (2019)

Review Quantum Science & Technology

Quantum Neural Network States: A Brief Review of Methods and Applications

Zhih-Ahn Jia et al.

ADVANCED QUANTUM TECHNOLOGIES (2019)

Article Materials Science, Multidisciplinary

Two-dimensional frustrated J1-J2 model studied with neural network quantum states

Kenny Choo et al.

PHYSICAL REVIEW B (2019)

Article Materials Science, Multidisciplinary

Neural Gutzwiller-projected variational wave functions

Francesco Ferrari et al.

PHYSICAL REVIEW B (2019)

Article Materials Science, Multidisciplinary

Thermodynamics of the pyrochlore-lattice quantum Heisenberg antiferromagnet

Patrick Mueller et al.

PHYSICAL REVIEW B (2019)

Article Computer Science, Software Engineering

NetKet: A machine learning toolkit for many-body quantum systems

Giuseppe Carleo et al.

SOFTWAREX (2019)

Article Physics, Multidisciplinary

Neural-network quantum state tomography

Giacomo Torlai et al.

NATURE PHYSICS (2018)

Article Physics, Multidisciplinary

Quantum Spin Ice with Frustrated Transverse Exchange: From a π-Flux Phase to a Nematic Quantum Spin Liquid

Owen Benton et al.

PHYSICAL REVIEW LETTERS (2018)

Article Materials Science, Multidisciplinary

Spin-1/2 Heisenberg antiferromagnet on the pyrochlore lattice: An exact diagonalization study

V. Ravi Chandra et al.

PHYSICAL REVIEW B (2018)

Review Physics, Multidisciplinary

Quantum spin liquids: a review

Lucile Savary et al.

REPORTS ON PROGRESS IN PHYSICS (2017)

Article Physics, Multidisciplinary

Machine learning phases of matter

Juan Carrasquilla et al.

NATURE PHYSICS (2017)

Article Multidisciplinary Sciences

Solving the quantum many-body problem with artificial neural networks

Giuseppe Carleo et al.

SCIENCE (2017)

Article Physics, Multidisciplinary

Competing Spin Liquids and Hidden Spin-Nematic Order in Spin Ice with Frustrated Transverse Exchange

Mathieu Taillefumier et al.

PHYSICAL REVIEW X (2017)

Article Materials Science, Multidisciplinary

Signatures of a gearwheel quantum spin liquid in a spin-1/2 pyrochlore molybdate Heisenberg antiferromagnet

Yasir Iqbal et al.

PHYSICAL REVIEW MATERIALS (2017)

Article Materials Science, Multidisciplinary

Spectral periodicity of the spinon continuum in quantum spin ice

Gang Chen

PHYSICAL REVIEW B (2017)

Article Physics, Multidisciplinary

Spin-Ice State of the Quantum Heisenberg Antiferromagnet on the Pyrochlore Lattice

Yuan Huang et al.

PHYSICAL REVIEW LETTERS (2016)

Article Materials Science, Multidisciplinary

Quantum spin ice on the breathing pyrochlore lattice

Lucile Savary et al.

PHYSICAL REVIEW B (2016)

Article Materials Science, Multidisciplinary

Origin of high-Tc superconductivity in doped Hubbard models and their extensions: Roles of uniform charge fluctuations

Takahiro Misawa et al.

PHYSICAL REVIEW B (2014)

Article Physics, Multidisciplinary

From Spin Glass to Quantum Spin Liquid Ground States in Molybdate Pyrochlores

L. Clark et al.

PHYSICAL REVIEW LETTERS (2014)

Article Physics, Multidisciplinary

Hubbard Model on the Pyrochlore Lattice: A 3D Quantum Spin Liquid

B. Normand et al.

PHYSICAL REVIEW LETTERS (2014)

Article Physics, Multidisciplinary

Plaquette Ordered Phase and Quantum Phase Diagram in the Spin-1/2 J1-J2 Square Heisenberg Model

Shou-Shu Gong et al.

PHYSICAL REVIEW LETTERS (2014)

Article Materials Science, Multidisciplinary

Interaction-driven phases in the half-filled spinless honeycomb lattice from exact diagonalization

Noel A. Garcia-Martinez et al.

PHYSICAL REVIEW B (2013)

Article Physics, Multidisciplinary

Coulombic Quantum Liquids in Spin-1/2 Pyrochlores

Lucile Savary et al.

PHYSICAL REVIEW LETTERS (2012)

Article Materials Science, Multidisciplinary

Cubic and noncubic multiple-q states in the Heisenberg antiferromagnet on the pyrochlore lattice

Tsuyoshi Okubo et al.

PHYSICAL REVIEW B (2011)

Article Physics, Multidisciplinary

Quantum Excitations in Quantum Spin Ice

Kate A. Ross et al.

PHYSICAL REVIEW X (2011)

Article Materials Science, Multidisciplinary

Monopole flux state on the pyrochlore lattice

F. J. Burnell et al.

PHYSICAL REVIEW B (2009)

Article Physics, Multidisciplinary

Variational Monte Carlo Method Combined with Quantum-Number Projection and Multi-Variable Optimization

Daisuke Tahara et al.

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN (2008)

Article Materials Science, Multidisciplinary

Partial order from disorder in a classical pyrochlore antiferromagnet

Gia-Wei Chern et al.

PHYSICAL REVIEW B (2008)

Article Physics, Condensed Matter

Novel ordering of the pyrochlore Heisenberg antiferromagnet with the ferromagnetic next-nearest-neighbour interaction

Daisuke Tsuneishi et al.

JOURNAL OF PHYSICS-CONDENSED MATTER (2007)

Article Materials Science, Multidisciplinary

Classical antiferromagnet on the pyrochlore lattice

Tota Nakamura et al.

JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS (2007)

Article Materials Science, Multidisciplinary

Identification of an RVB liquid phase in a quantum dimer model with competing kinetic terms

Francois Vernay et al.

PHYSICAL REVIEW B (2006)

Article Materials Science, Multidisciplinary

Quantum dimer models and effective Hamiltonians on the pyrochlore lattice

R Moessner et al.

PHYSICAL REVIEW B (2006)

Review Physics, Multidisciplinary

The density-matrix renormalization group

U Schollwock

REVIEWS OF MODERN PHYSICS (2005)

Article Chemistry, Physical

Thermal ammonolysis study of the rare-earth tantalates RTaO4

P Maillard et al.

CHEMISTRY OF MATERIALS (2005)

Article Materials Science, Multidisciplinary

Pyrochlore photons:: The U(1) spin liquid in a S=1/2 three-dimensional frustrated magnet -: art. no. 064404

M Hermele et al.

PHYSICAL REVIEW B (2004)

Article Chemistry, Physical

Correlated geminal wave function for molecules: An efficient resonating valence bond approach

M Casula et al.

JOURNAL OF CHEMICAL PHYSICS (2004)

Article Physics, Multidisciplinary

Singlet excitations in pyrochlore: A study of quantum frustration

E Berg et al.

PHYSICAL REVIEW LETTERS (2003)

Article Materials Science, Multidisciplinary

Planar pyrochlore: A valence-bond crystal

JB Fouet et al.

PHYSICAL REVIEW B (2003)

Article Multidisciplinary Sciences

Emergent excitations in a geometrically frustrated magnet

SH Lee et al.

NATURE (2002)

Article Materials Science, Multidisciplinary

Spin-singlet order in a pyrochlore antiferromagnet

H Tsunetsugu

PHYSICAL REVIEW B (2002)

Article Materials Science, Multidisciplinary

Frustrated Heisenberg antiferromagnet on the pyrochlore lattice

A Koga et al.

PHYSICAL REVIEW B (2001)

Article Physics, Multidisciplinary

Antiferromagnetic quantum spins on the pyrochlore lattice

H Tsunetsugu

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN (2001)

Article Materials Science, Multidisciplinary

Quantum spin liquid: The Heisenberg antiferromagnet on the three-dimensional pyrochlore lattice

B Canals et al.

PHYSICAL REVIEW B (2000)