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Title: Microscopic theory of the nearest-neighbor valence bond sector of the spin- 1 2 kagome antiferromagnet

Authors:
; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1423388
Grant/Contract Number:  
# DE-SC0018056; 00061911
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Name: Physical Review B Journal Volume: 97 Journal Issue: 10; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Ralko, Arnaud, Mila, Frédéric, and Rousochatzakis, Ioannis. Microscopic theory of the nearest-neighbor valence bond sector of the spin- 1 2 kagome antiferromagnet. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.97.104401.
Ralko, Arnaud, Mila, Frédéric, & Rousochatzakis, Ioannis. Microscopic theory of the nearest-neighbor valence bond sector of the spin- 1 2 kagome antiferromagnet. United States. doi:10.1103/PhysRevB.97.104401.
Ralko, Arnaud, Mila, Frédéric, and Rousochatzakis, Ioannis. Thu . "Microscopic theory of the nearest-neighbor valence bond sector of the spin- 1 2 kagome antiferromagnet". United States. doi:10.1103/PhysRevB.97.104401.
@article{osti_1423388,
title = {Microscopic theory of the nearest-neighbor valence bond sector of the spin- 1 2 kagome antiferromagnet},
author = {Ralko, Arnaud and Mila, Frédéric and Rousochatzakis, Ioannis},
abstractNote = {},
doi = {10.1103/PhysRevB.97.104401},
journal = {Physical Review B},
number = 10,
volume = 97,
place = {United States},
year = {2018},
month = {3}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevB.97.104401

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Cited by: 5 works
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Works referenced in this record:

RVB description of the low-energy singlets of the spin 1/2 kagomé antiferromagnet
journal, October 2000

  • Mambrini, M.; Mila, F.
  • The European Physical Journal B, Vol. 17, Issue 4
  • DOI: 10.1007/PL00011071

Variational study of J 1 - J 2 Heisenberg model on kagome lattice using projected Schwinger-boson wave functions
journal, July 2011


Phenomenological Z 2 lattice gauge theory of the spin-liquid state of the kagome Heisenberg antiferromagnet
journal, March 2013


Spin‐Peierls and spin‐liquid phases of Kagomé quantum antiferromagnets
journal, April 1991

  • Marston, J. B.; Zeng, C.
  • Journal of Applied Physics, Vol. 69, Issue 8
  • DOI: 10.1063/1.347830

Quantum dimer model with extensive ground-state entropy on the kagome lattice
journal, June 2003


Physics of low-energy singlet states of the Kagome lattice quantum Heisenberg antiferromagnet
journal, December 2003


Topological quantum computation
journal, October 2002

  • Freedman, Michael H.; Kitaev, Alexei; Larsen, Michael J.
  • Bulletin of the American Mathematical Society, Vol. 40, Issue 01
  • DOI: 10.1090/S0273-0979-02-00964-3

Valence-bond crystal in the extended kagome spin- 1 2 quantum Heisenberg antiferromagnet: A variational Monte Carlo approach
journal, March 2011


Numerical-Diagonalization Study of Spin Gap Issue of the Kagome Lattice Heisenberg Antiferromagnet
journal, May 2011

  • Nakano, Hiroki; Sakai, Toru
  • Journal of the Physical Society of Japan, Vol. 80, Issue 5
  • DOI: 10.1143/JPSJ.80.053704

Topological quantum memory
journal, September 2002

  • Dennis, Eric; Kitaev, Alexei; Landahl, Andrew
  • Journal of Mathematical Physics, Vol. 43, Issue 9
  • DOI: 10.1063/1.1499754

p 6 chiral resonating valence bonds in the kagome antiferromagnet
journal, April 2013


Numerical studies of a 36-site kagome ´ antiferromagnet
journal, March 1993


Spin-Liquid Ground State of the S = 1/2 Kagome Heisenberg Antiferromagnet
journal, April 2011


Identifying topological order by entanglement entropy
journal, November 2012

  • Jiang, Hong-Chen; Wang, Zhenghan; Balents, Leon
  • Nature Physics, Vol. 8, Issue 12
  • DOI: 10.1038/nphys2465

Tensor Renormalization of Quantum Many-Body Systems Using Projected Entangled Simplex States
journal, February 2014


Nuclear antiferromagnetism in a registered He 3 solid
journal, May 1989


Destroying a topological quantum bit by condensing Ising vortices
journal, December 2014

  • Hao, Zhihao; Inglis, Stephen; Melko, Roger
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms6781

Vanishing spin gap in a competing spin-liquid phase in the kagome Heisenberg antiferromagnet
journal, January 2014


Projected wave function study of Z 2 spin liquids on the kagome lattice for the spin- 1 2 quantum Heisenberg antiferromagnet
journal, July 2011


Ground-state energy and spin gap of spin- 1 2 Kagomé-Heisenberg antiferromagnetic clusters: Large-scale exact diagonalization results
journal, June 2011


Colloquium : Herbertsmithite and the search for the quantum spin liquid
journal, December 2016


Gapless Spin-Liquid Ground State in the S = 1 / 2 Kagome Antiferromagnet
journal, March 2017


Numerical contractor renormalization method for quantum spin models
journal, September 2004


Three-sublattice order in triangular- and Kagomé-lattice spin-half antiferromagnets
journal, March 1992


The Resonating Valence Bond State in La2CuO4 and Superconductivity
journal, March 1987


Striped Spin Liquid Crystal Ground State Instability of Kagome Antiferromagnets
journal, November 2013


Finite-size scaling and boundary effects in two-dimensional valence-bond solids
journal, April 2012


First excitations of the spin 1/2 Heisenberg antiferromagnet on the kagomé lattice
journal, May 1998

  • Waldtmann, C.; Everts, H. -U.; Bernu, B.
  • The European Physical Journal B, Vol. 2, Issue 4
  • DOI: 10.1007/s100510050274

Spin liquids in frustrated magnets
journal, March 2010


Resonating-Valence-Bond Physics Is Not Always Governed by the Shortest Tunneling Loops
journal, October 2015


Numerical studies of antiferromagnetism on a Kagomé net
journal, November 1990


Quantum Dimer Model on the Kagome Lattice: Solvable Dimer-Liquid and Ising Gauge Theory
journal, September 2002


Projected-Wave-Function Study of the Spin- 1 / 2 Heisenberg Model on the Kagomé Lattice
journal, March 2007


Generic Mixed Columnar-Plaquette Phases in Rokhsar-Kivelson Models
journal, January 2008


Quantum dimer model for the spin- 1 2 kagome Z 2 spin liquid
journal, September 2014


Ground State Projection of Quantum Spin Systems in the Valence-Bond Basis
journal, November 2005


Gapless spin-liquid phase in the kagome spin- 1 2 Heisenberg antiferromagnet
journal, February 2013


Quantum dimer calculations on the spin-1/2 kagome ´ Heisenberg antiferromagnet
journal, April 1995


Z 2 gauge theory for valence bond solids on the kagome lattice
journal, November 2015


Ground state of the spin-1/2 kagome-lattice Heisenberg antiferromagnet
journal, November 2007


Order versus disorder in the quantum Heisenberg antiferromagnet on the kagomé lattice using exact spectra analysis
journal, August 1997


Gapped spin liquid with Z 2 topological order for the kagome Heisenberg model
journal, June 2017


Superconductivity and the Quantum Hard-Core Dimer Gas
journal, November 1988


Non-Abelian anyons and topological quantum computation
journal, September 2008


A Structurally Perfect S = 1 / 2 Kagomé Antiferromagnet
journal, October 2005

  • Shores, Matthew P.; Nytko, Emily A.; Bartlett, Bart M.
  • Journal of the American Chemical Society, Vol. 127, Issue 39
  • DOI: 10.1021/ja053891p

Magnetothermodynamics of the Spin- 1 2 Kagomé Antiferromagnet
journal, March 2000


Effective quantum dimer model for the kagome Heisenberg antiferromagnet: Nearby quantum critical point and hidden degeneracy
journal, May 2010


On the ground state properties of the anisotropic triangular antiferromagnet
journal, August 1974


Fractionalized excitations in the spin-liquid state of a kagome-lattice antiferromagnet
journal, December 2012

  • Han, Tian-Heng; Helton, Joel S.; Chu, Shaoyan
  • Nature, Vol. 492, Issue 7429
  • DOI: 10.1038/nature11659

Low-Energy Sector of the S = 1 / 2 Kagome Antiferromagnet
journal, September 1998


Resonating valence bonds: A new kind of insulator?
journal, February 1973


Fault-tolerant quantum computation by anyons
journal, January 2003


Ground-state disorder in the spin-1/2 kagomé Heisenberg antiferromagnet
journal, December 1992


Spin- 1 2 Heisenberg antiferromagnet on the kagome lattice: Z 2 spin liquid with fermionic spinons
journal, June 2013


Heisenberg antiferromagnet on the kagome lattice with arbitrary spin: A higher-order coupled cluster treatment
journal, December 2011


Some New Variational Resonating-Valence-Bond-Type Wave Functions for the Spin-½ Antiferromagnetic Heisenberg Model on a Square Lattice
journal, July 1988


Density Matrix Renormalization Group Numerical Study of the Kagome Antiferromagnet
journal, September 2008


Signatures of Dirac Cones in a DMRG Study of the Kagome Heisenberg Model
journal, July 2017


Nature of the Spin-Liquid Ground State of the S = 1 / 2 Heisenberg Model on the Kagome Lattice
journal, August 2012


Zero-temperature properties of the quantum dimer model on the triangular lattice
journal, June 2005


Low-Energy Singlets in the Heisenberg Antiferromagnet on the Kagome Lattice
journal, October 2004