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Physical Review Letters 102 (16) 167201 (2009)
DOI: 10.1103/PhysRevLett.102.167201
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Ground-state properties of quantum many-body systems: entangled-plaquette states and variational Monte Carlo

F Mezzacapo, N Schuch, M Boninsegni and J I Cirac
New Journal of Physics 11 (8) 083026 (2009)
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Magnetic order in coupled spin-half and spin-one Heisenberg chains in an anisotropic triangular-lattice geometry

T. Pardini and R. R. P. Singh
Physical Review B 77 (21) 214433 (2008)
DOI: 10.1103/PhysRevB.77.214433
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Effect of anisotropy on the ground-state magnetic ordering of the spin-half quantumJ1XXZ–J2XXZmodel on the square lattice

R. F. Bishop, P. H. Y. Li, R. Darradi, J. Schulenburg and J. Richter
Physical Review B 78 (5) 054412 (2008)
DOI: 10.1103/PhysRevB.78.054412
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Ground state phases of the spin-1/2J1–J2Heisenberg antiferromagnet on the square lattice: A high-order coupled cluster treatment

R. Darradi, O. Derzhko, R. Zinke, et al.
Physical Review B 78 (21) 214415 (2008)
DOI: 10.1103/PhysRevB.78.214415
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Two-dimensional quantum antiferromagnet with a fourfold degenerate dimer ground state

Alain Gellé, Andreas M. Läuchli, Brijesh Kumar and Frédéric Mila
Physical Review B 77 (1) 014419 (2008)
DOI: 10.1103/PhysRevB.77.014419
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The quantum J1–J1′–J2 spin-1/2 Heisenberg model: influence of the interchain coupling on the ground-state magnetic ordering in two dimensions

R F Bishop, P H Y Li, R Darradi and J Richter
Journal of Physics: Condensed Matter 20 (25) 255251 (2008)
DOI: 10.1088/0953-8984/20/25/255251
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The quantum J 1 –J 1 ′–J 2 spin-1 Heisenberg model: Influence of the interchain coupling on the ground-state magnetic ordering in 2D

R. F. Bishop, P. H. Y. Li, R. Darradi and J. Richter
EPL (Europhysics Letters) 83 (4) 47004 (2008)
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Spin polaron in theJ1−J2Heisenberg model

I. J. Hamad, A. E. Trumper, A. E. Feiguin and L. O. Manuel
Physical Review B 77 (1) 014410 (2008)
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Quantum phase transition in the three-dimensional anisotropic frustrated Heisenberg antiferromagnetic model

J. Roberto Viana, J. Ricardo de Sousa and M. A. Continentino
Physical Review B 77 (17) 172412 (2008)
DOI: 10.1103/PhysRevB.77.172412
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The effect of anisotropy on the ground-state magnetic ordering of the spin-1 quantumJ1XXZ–J2XXZmodel on the square lattice

R F Bishop, P H Y Li, R Darradi, J Richter and C E Campbell
Journal of Physics: Condensed Matter 20 (41) 415213 (2008)
DOI: 10.1088/0953-8984/20/41/415213
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Plaquette order in theJ1−J2−J3model: Series expansion analysis

Marcelo Arlego and Wolfram Brenig
Physical Review B 78 (22) 224415 (2008)
DOI: 10.1103/PhysRevB.78.224415
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Bootstrap approximations in contractor renormalization

M. Stewart Siu and Marvin Weinstein
Physical Review B 77 (15) 155116 (2008)
DOI: 10.1103/PhysRevB.77.155116
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Spin waves and local magnetizations on the Penrose tiling

Attila Szallas and Anuradha Jagannathan
Physical Review B 77 (10) 104427 (2008)
DOI: 10.1103/PhysRevB.77.104427
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Variational ground states of two-dimensional antiferromagnets in the valence bond basis

Jie Lou and Anders W. Sandvik
Physical Review B 76 (10) 104432 (2007)
DOI: 10.1103/PhysRevB.76.104432
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An equilibrium for frustrated quantum spin systems in the stochastic state selection method

Tomo Munehisa and Yasuko Munehisa
Journal of Physics: Condensed Matter 19 (19) 196202 (2007)
DOI: 10.1088/0953-8984/19/19/196202
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Exotic phenomena in doped quantum magnets

D Poilblanc, M Mambrini, A Läuchli and F Mila
Journal of Physics: Condensed Matter 19 (14) 145205 (2007)
DOI: 10.1088/0953-8984/19/14/145205
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Deconfined quantum criticality in the two-dimensional antiferromagnetic Heisenberg model with next-nearest-neighbor Ising exchange

J. Hove and A. Sudbø
Physical Review B 75 (10) 104405 (2007)
DOI: 10.1103/PhysRevB.75.104405
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Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond

Maciej Lewenstein, Anna Sanpera, Veronica Ahufinger, et al.
Advances in Physics 56 (2) 243 (2007)
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Magnon dispersion and anisotropies inSrCu2(BO3)2

Y. F. Cheng, O. Cépas, P. W. Leung and T. Ziman
Physical Review B 75 (14) 144422 (2007)
DOI: 10.1103/PhysRevB.75.144422
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Evidence for Deconfined Quantum Criticality in a Two-Dimensional Heisenberg Model with Four-Spin Interactions

Anders W. Sandvik
Physical Review Letters 98 (22) 227202 (2007)
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Ground-state phase diagram and magnetic properties of a tetramerized spin-1∕2J1−J2model: BEC of bound magnons and absence of the transverse magnetization

Hiroaki T. Ueda and Keisuke Totsuka
Physical Review B 76 (21) 214428 (2007)
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The Union Jack model

A Collins, J McEvoy, D Robinson, C J Hamer and Z Weihong
Journal of Physics: Conference Series 42 71 (2006)
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Collinear Order in Frustrated Quantum Antiferromagnet on Square Lattice (CuBr)LaNb2O7

Noriaki Oba, Hiroshi Kageyama, Taro Kitano, et al.
Journal of the Physical Society of Japan 75 (11) 113601 (2006)
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Ising phase in theJ1−J2Heisenberg model

Valeria Lante and Alberto Parola
Physical Review B 73 (9) 094427 (2006)
DOI: 10.1103/PhysRevB.73.094427
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J1−J2model: First-order phase transition versus deconfinement of spinons

J. Sirker, Zheng Weihong, O. P. Sushkov and J. Oitmaa
Physical Review B 73 (18) 184420 (2006)
DOI: 10.1103/PhysRevB.73.184420
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Plaquette valence-bond crystal in the frustrated Heisenberg quantum antiferromagnet on the square lattice

Matthieu Mambrini, Andreas Läuchli, Didier Poilblanc and Frédéric Mila
Physical Review B 74 (14) 144422 (2006)
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QuantumJ1−J2Antiferromagnet on a Stacked Square Lattice: Influence of the Interlayer Coupling on the Ground-State Magnetic Ordering

D. Schmalfuß, R. Darradi, J. Richter, J. Schulenburg and D. Ihle
Physical Review Letters 97 (15) 157201 (2006)
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Quantum spin model with frustration on the union jack lattice

A. Collins, J. McEvoy, D. Robinson, C. J. Hamer and Zheng Weihong
Physical Review B 73 (2) 024407 (2006)
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Magnetic order of the two-dimensional antiferromagnetic ¼-depleted square lattice

Yong-Jun Liu, Yung-Chung Chen, Min-Fong Yang and Chang-De Gong
Journal of Physics: Condensed Matter 18 (5) 1805 (2006)
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Spinon deconfinement in doped frustrated quantum antiferromagnets

Didier Poilblanc, Andreas Läuchli, Matthieu Mambrini and Frédéric Mila
Physical Review B 73 (10) 100403 (2006)
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Random-exchange quantum Heisenberg antiferromagnets on a square lattice

Nicolas Laflorencie, Stefan Wessel, Andreas Läuchli and Heiko Rieger
Physical Review B 73 (6) 060403 (2006)
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Magnetic order and lattice anomalies in theJ1−J2model systemVOMoO4

A. Bombardi, L. C. Chapon, I. Margiolaki, et al.
Physical Review B 71 (22) 220406 (2005)
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Weakly frustrated two-dimensional Heisenberg antiferromagnets: Thermodynamic properties from a nonperturbative approach

Leonardo Spanu and Alberto Parola
Physical Review B 72 (17) 174418 (2005)
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Spin dilution in frustrated two-dimensionalS=12antiferromagnets on a square lattice

N. Papinutto, P. Carretta, S. Gonthier and P. Millet
Physical Review B 71 (17) 174425 (2005)
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Coupled cluster treatment of the Shastry-Sutherland antiferromagnet

R. Darradi, J. Richter and D. J. J. Farnell
Physical Review B 72 (10) 104425 (2005)
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Quantum Magnetism

Peter Lemmens and Patrice Millet
Lecture Notes in Physics, Quantum Magnetism 645 433 (2004)
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Spin-Charge Separation in Two-Dimensional Frustrated Quantum Magnets

Andreas Läuchli and Didier Poilblanc
Physical Review Letters 92 (23) 236404 (2004)
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Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm

T. Senthil, Leon Balents, Subir Sachdev, Ashvin Vishwanath and Matthew P. A. Fisher
Physical Review B 70 (14) 144407 (2004)
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Direct Determination of the Magnetic Ground State in the Square LatticeS=1/2AntiferromagnetLi2VOSiO4

A. Bombardi, J. Rodriguez-Carvajal, S. Di Matteo, et al.
Physical Review Letters 93 (2) 027202 (2004)
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Absence of long-range order in a spin-half Heisenberg antiferromagnet on the stacked kagomé lattice

D. Schmalfuß, J. Richter and D. Ihle
Physical Review B 70 (18) 184412 (2004)
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Anisotropy-Induced Ordering in the QuantumJ1−J2Antiferromagnet

Tommaso Roscilde, Adrian Feiguin, Alexander L. Chernyshev, Shiu Liu and Stephan Haas
Physical Review Letters 93 (1) 017203 (2004)
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Quantum Magnetism

Nicolas Laflorencie and Didier Poilblanc
Lecture Notes in Physics, Quantum Magnetism 645 227 (2004)
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Theoretical studies of the phase transition in the anisotropic two-dimensional square spin lattice

Mohamad Al Hajj, Nathalie Guihéry, Jean-Paul Malrieu and Peter Wind
Physical Review B 70 (9) 094415 (2004)
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Finite temperature properties and frustrated ferromagnetism in a square lattice Heisenberg model

N. Shannon, B. Schmidt, K. Penc and P. Thalmeier
The European Physical Journal B 38 (4) 599 (2004)
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Spin-1/2 frustrated antiferromagnet on a spatially anisotropic square lattice: Contribution of exact diagonalizations

P. Sindzingre
Physical Review B 69 (9) 094418 (2004)
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NonlinearσModel Method for theJ1−J2Heisenberg Model: Disordered Ground State with Plaquette Symmetry

Ken’ichi Takano, Yoshiya Kito, Yoshiaki Ōno and Kazuhiro Sano
Physical Review Letters 91 (19) 197202 (2003)
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FINITE-SIZE SPIN-WAVE THEORY OF A COLLINEAR ANTIFERROMAGNET

LUCA CAPRIOTTI
International Journal of Modern Physics B 17 (27) 4819 (2003)
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Low-energy fixed points of random Heisenberg models

Y.-C. Lin, R. Mélin, H. Rieger and F. Iglói
Physical Review B 68 (2) 024424 (2003)
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Suppression of dimer correlations in the two-dimensional J1-J2 Heisenberg model: An exact diagonalization study

Luca Capriotti, Federico Becca, Alberto Parola and Sandro Sorella
Physical Review B 67 (21) 212402 (2003)
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Quantum phase transitions in spin-12 frustrated molecular clusters: The numerical evidence

Yong-Jun Liu and Chang-De Gong
Physical Review B 65 (5) 052412 (2002)
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Validity of the Lieb-Mattis theorem in the J1-J2 Heisenberg model

Yong-Jun Liu, Yung-Chung Chen, Min-Fong Yang and Chang-De Gong
Physical Review B 66 (2) 024403 (2002)
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Chern-Simons theory for magnetization plateaus of the frustrated J1-J2 Heisenberg model

Ming-Che Chang and Min-Fong Yang
Physical Review B 66 (18) 184416 (2002)
DOI: 10.1103/PhysRevB.66.184416
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Frustration-driven structural distortion in VOMoO4

P. Carretta, N. Papinutto, C. Azzoni, et al.
Physical Review B 66 (9) 094420 (2002)
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Spin-12 J1-J2 model on the body-centered cubic lattice

R. Schmidt, J. Schulenburg, J. Richter and D. Betts
Physical Review B 66 (22) 224406 (2002)
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Very-Low-Frequency Excitations in Frustrated Two-DimensionalS=12Heisenberg Antiferromagnets

P. Carretta, R. Melzi, N. Papinutto and P. Millet
Physical Review Letters 88 (4) 047601 (2002)
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Quantum phase transitions in the two-dimensional J_{1}-J_{2} model

O. P. Sushkov, J. Oitmaa and Zheng Weihong
Physical Review B 63 (10) 104420 (2001)
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Quantum disorder in the two-dimensional pyrochlore Heisenberg antiferromagnet

S. Palmer and J. Chalker
Physical Review B 64 (9) 094412 (2001)
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Two-Dimensional Randomly Frustrated Spin-1/2Heisenberg Model

J. Oitmaa and O. P. Sushkov
Physical Review Letters 87 (16) 167206 (2001)
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Non-orthogonal orbitals for localized electrons III. Application to periodic one dimensional lattices

Gérald Bignonneau, Alain Fritsch and Laurent Ducasse
Chemical Physics 269 (1-3) 107 (2001)
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Theory of the reentrant charge-order transition in the manganites

C. Stephen Hellberg
Journal of Applied Physics 89 (11) 6627 (2001)
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Magnetic and thermodynamic properties of Li_{2}VOSiO_{4}: A two-dimensional S=1/2 frustrated antiferromagnet on a square lattice

R. Melzi, S. Aldrovandi, F. Tedoldi, P. Carretta and F. Mila
Physical Review B 64 (2) 024409 (2001)
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Magnetic order and finite-temperature properties of the two-dimensional frustrated Heisenberg model

L. Siurakshina and R. Hayn
Physical Review B 64 (10) 104406 (2001)
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Lanczos study of the S = 1/2 frustrated square-lattice anti-ferromagnet in a magnetic field

A Honecker
Canadian Journal of Physics 79 (11-12) 1557 (2001)
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New copper(II)–lone electron pair elements–oxyhalides compounds: syntheses, crystal structures, and magnetic properties

P Millet, M Johnsson, V Pashchenko, et al.
Solid State Ionics 141-142 559 (2001)
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Green function Monte Carlo with stochastic reconfiguration: An effective remedy for the sign problem

Sandro Sorella and Luca Capriotti
Physical Review B 61 (4) 2599 (2000)
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Spontaneous Plaquette Dimerization in theJ1–J2Heisenberg Model

Luca Capriotti and Sandro Sorella
Physical Review Letters 84 (14) 3173 (2000)
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Finite-size scaling in the transverse Ising model on a square lattice

C J Hamer
Journal of Physics A: Mathematical and General 33 (38) 6683 (2000)
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High-dimensional lattice gases

J R Heringa, H W J Blöte and E Luijten
Journal of Physics A: Mathematical and General 33 (15) 2929 (2000)
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Incorporation of density-matrix wave functions in Monte Carlo simulations: Application to the frustrated Heisenberg model

M. du Croo de Jongh, J. van Leeuwen and W. van Saarloos
Physical Review B 62 (22) 14844 (2000)
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Nature of the transition from the spontaneously dimerized to the Néel phase in the two-dimensional J1-J2 model

Valeri Kotov and Oleg Sushkov
Physical Review B 61 (17) 11820 (2000)
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Li2VO(Si,Ge)O4, a Prototype of a Two-Dimensional Frustrated Quantum Heisenberg Antiferromagnet

R. Melzi, P. Carretta, A. Lascialfari, et al.
Physical Review Letters 85 (6) 1318 (2000)
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Magnetic order-disorder transition in the two-dimensional spatially anisotropic Heisenberg model at zero temperature

D. Ihle, C. Schindelin, A. Weiße and H. Fehske
Physical Review B 60 (13) 9240 (1999)
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Finite-size scaling in the spin- model on a square lattice

C J Hamer, Tobias Hövelborn and Michael Bachhuber
Journal of Physics A: Mathematical and General 32 (1) 51 (1999)
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Encapsulated Spin Function for infinite lattices

L. Ducasse, A. Fritsch, G. Bignonneau and F. Petuaud-Letang
Synthetic Metals 103 (1-3) 2066 (1999)
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Phase diagram for a class of spin-12 Heisenberg models interpolating between the square-lattice, the triangular-lattice, and the linear-chain limits

Zheng Weihong, Ross McKenzie and Rajiv Singh
Physical Review B 59 (22) 14367 (1999)
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Low-energy singlet and triplet excitations in the spin-liquid phase of the two-dimensional J1-J2 model

Valeri Kotov, J. Oitmaa, Oleg Sushkov and Zheng Weihong
Physical Review B 60 (21) 14613 (1999)
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Dimer order with striped correlations in the J_{1}-J_{2} Heisenberg model

Rajiv R. P. Singh
Physical Review B 60 (10) 7278 (1999)
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The Heisenberg antiferromagnet on an anisotropic triangular lattice: linear spin-wave theory

J Merino, Ross H McKenzie, J B Marston and C H Chung
Journal of Physics: Condensed Matter 11 (14) 2965 (1999)
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Ground-state parameters, finite-size scaling, and low-temperature properties of the two-dimensional S=12 XY model

Anders Sandvik and Chris Hamer
Physical Review B 60 (9) 6588 (1999)
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Green Function Monte Carlo with Stochastic Reconfiguration

Sandro Sorella
Physical Review Letters 80 (20) 4558 (1998)
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Quantum Monte Carlo analysis of the 2D Heisenberg antiferromagnet withS=1/2: the influence of exchange anisotropy

S S Aplesnin
Journal of Physics: Condensed Matter 10 (44) 10061 (1998)
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Doped antiferromagnets in high dimension

E. Carlson, S. Kivelson, Z. Nussinov and V. Emery
Physical Review B 57 (23) 14704 (1998)
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Rotational invariance and order-parameter stiffness in frustrated quantum spin systems

L. Manuel, A. Trumper and H. Ceccatto
Physical Review B 57 (14) 8348 (1998)
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Strongly Correlated Magnetic and Superconducting Systems

Anders W. Sandvik
Lecture Notes in Physics, Strongly Correlated Magnetic and Superconducting Systems 478 109 (1997)
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Majorana representation of the quantum O(N) Heisenberg antiferromagnet: Its success at N=∞ and the reason for its failure at N=3

D. Foerster and F. Triozon
Physical Review B 56 (13) 8069 (1997)
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Spin stiffness in the frustrated Heisenberg antiferromagnet

M. S. L. du Croo de Jongh and P. J. H. Denteneer
Physical Review B 55 (5) 2713 (1997)
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Finite-size scaling of the ground-state parameters of the two-dimensional Heisenberg model

Anders Sandvik
Physical Review B 56 (18) 11678 (1997)
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Low-temperature dynamic susceptibility of thinCd1−xMnxTe films

Sharat Chandra, L. K. Malhotra, Sandip Dhara and A. C. Rastogi
Physical Review B 54 (19) 13694 (1996)
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