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Resonating Valence Bond Wave Functions for Strongly Frustrated Spin Systems

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TLDR
The resonating-valence-bond theory for two-dimensional quantum antiferromagnets is shown to be the correct paradigm for large enough "quantum frustration" and a new type of variational wave function is proposed to represent the generic spin-half RVB ground state in spin liquids.
Abstract
The resonating-valence-bond (RVB) theory for two-dimensional quantum antiferromagnets is shown to be the correct paradigm for large enough ``quantum frustration.'' This scenario, proposed a long time ago but never confirmed by microscopic calculations, is strongly supported by a new type of variational wave function, which is extremely close to the exact ground state of the ${J}_{1}{\ensuremath{-}J}_{2}$ Heisenberg model for $0.4\ensuremath{\lesssim}{J}_{2}{/J}_{1}\ensuremath{\lesssim}0.5$. This wave function is proposed to represent the generic spin-half RVB ground state in spin liquids.

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Journal ArticleDOI

Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond

TL;DR: In this article, the authors review recent developments in the physics of ultracold atomic and molecular gases in optical lattices and show how these systems may be employed as quantum simulators to answer some challenging open questions of condensed matter, and even high energy physics.
Journal ArticleDOI

Quantum spin liquid states

TL;DR: In this paper, a review of the physics of spin liquid states is presented, including spin-singlet states, which may be viewed as an extension of Fermi liquid states to Mott insulators, and they are usually classified in the category of SU(2), U(1), or Z2.
Journal ArticleDOI

Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm

TL;DR: In this article, the critical theory of a number of zero-temperature phase transitions of quantum antiferromagnets and interacting boson systems in two dimensions is presented, and it is shown that these two states are separated by a second-order quantum phase transition.

Quantum criticality: beyond the Landau-Ginzburg-Wilson paradigm

Subir Sachdev
TL;DR: In this paper, the critical theory of a number of zero-temperature phase transitions of quantum antiferromagnets and interacting boson systems in two dimensions is presented, and it is shown that these two states are separated by a second-order quantum phase transition.
Book

Quantum Monte Carlo Approaches for Correlated Systems

TL;DR: In this paper, a comprehensive introduction to state-of-the-art quantum Monte Carlo techniques relevant for applications in correlated systems is provided, providing a clear overview of variational wave functions, and featuring a detailed presentation of stochastic samplings including Markov chains and Langevin dynamics.
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