2008
DOI: 10.1103/physrevb.78.214415
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Ground state phases of the spin-1/2J1J2Heisenberg antiferromagnet on the square lattice: A high-order coupled cluster treatment

Abstract: Using the coupled cluster method for high orders of approximation and complementary exact diagonalization studies we investigate the ground state properties of the spin-1/2 J 1 -J 2 frustrated Heisenberg antiferromagnet on the square lattice. We have calculated the ground state energy, the magnetic order parameter, the spin stiffness, and several generalized susceptibilities to probe magnetically disordered quantum valence-bond phases. We have found that the quantum critical points for both the Néel and collin… Show more

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Cited by 192 publications
(320 citation statements)
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“…Indeed, the results of spinwave calculations, 12 large-N expansions, 14 and calculations using the density-matrix renormalization group combined with Monte Carlo simulations 8 are believed to indicate the emergence of a dimer order. On the other hand, Monte Carlo 6 and coupled cluster calculations, 9 and analytical results 11 seem to support the presence of C 4 symmetry ͑plaquette-type ordering͒ in the paramagnetic phase. In the absence of a reliable numerical or analytical proof of existence of any particular order in the nonmagnetic region, there is no apparent reason to believe in the exotic deconfined quantum criticality scenario.…”
Section: Introductionmentioning
confidence: 99%
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“…Indeed, the results of spinwave calculations, 12 large-N expansions, 14 and calculations using the density-matrix renormalization group combined with Monte Carlo simulations 8 are believed to indicate the emergence of a dimer order. On the other hand, Monte Carlo 6 and coupled cluster calculations, 9 and analytical results 11 seem to support the presence of C 4 symmetry ͑plaquette-type ordering͒ in the paramagnetic phase. In the absence of a reliable numerical or analytical proof of existence of any particular order in the nonmagnetic region, there is no apparent reason to believe in the exotic deconfined quantum criticality scenario.…”
Section: Introductionmentioning
confidence: 99%
“…12,14 It follows then that these two phases cannot be joined by the usual Landau second-order critical point. This phase transition can either be of the first order 19 ͑the latest coupled cluster calculations, 9 however, seem to rule out this possibility͒, or represent an example of a second-order critical point, which cannot be described in terms of a bulk order parameter, but rather in terms of emergent fractional excitations ͑spinons͒, which become deconfined right at the critical point. 15 However, evidence regarding the structure of the nonmagnetic phase is quite controversial.…”
Section: Introductionmentioning
confidence: 99%
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“…Heisenberg antiferromagnet on a square lattice with competing nearest-neighbor (NN) and next-nearest-neighbor (NNN) antiferromagnetic exchange interactions (known as J 1 − J 2 model) [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] .…”
mentioning
confidence: 99%
“…[7][8][9][10]). Amongst several methods that have been very successfully applied to the J 1 -J 2 model has been the coupled cluster method (CCM), [11][12][13][14] which has also been applied to many similar strongly-interacting and highly frustrated spin-lattice models with comparable success. Other frustrated 2D models that have similarly engendered great recent interest include the spin-…”
Section: Introductionmentioning
confidence: 99%