Quantum Disordered State without Frustration in the Double Layer Heisenberg Antiferromagnet –Dimer Expansion and Projector Monte Carlo Study–

Hida, Kazuo

doi:10.1143/jpsj.61.1013

Cited by 83 publications

(76 citation statements)

References 13 publications

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“…A number of universal amplitude ratios have been studied at this point, and all results are now in good agreement with the 1/N expansion on the O(N ) quantum rotor model. High temperature [52,57] and strong coupling [58] series expansions on the double-layer model also reach a similar conclusion.…”

Section: Dynamics In One Dimension: Application To Spin-gap Compoundssupporting

confidence: 54%

Dynamics and Transport Near Quantum-Critical Points

Sachdev

1998

Dynamical Properties of Unconventional Magnetic Systems

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Abstract. The physics of non-zero temperature dynamics and transport near quantum-critical points is discussed by a detailed study of the O(N )-symmetric, relativistic, quantum field theory of a N -component scalar field in d spatial dimensions. A great deal of insight is gained from a simple, exact solution of the long-time dynamics for the N = 1 d = 1 case: this model describes the critical point of the Ising chain in a transverse field, and the dynamics in all the distinct, limiting, physical regions of its finite temperature phase diagram is obtained. The N = 3, d = 1 model describes insulating, gapped, spin chain compounds: the exact, low temperature value of the spin diffusivity is computed, and compared with NMR experiments. The N = 3, d = 2, 3 models describe Heisenberg antiferromagnets with collinear Néel correlations, and experimental realizations of quantum-critical behavior in these systems are discussed. Finally, the N = 2, d = 2 model describes the superfluid-insulator transition in lattice boson systems: the frequency and temperature dependence of the the conductivity at the quantum-critical coupling is described and implications for experiments in two-dimensional thin films and inversion layers are noted.

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Section: Dynamics In One Dimension: Application To Spin-gap Compoundssupporting

confidence: 54%

Dynamics and Transport Near Quantum-Critical Points

Sachdev

1998

Dynamical Properties of Unconventional Magnetic Systems

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“…[7,21,24] These quantities vanish in the disordered phase. The constraint (3.16) is rewritten in the form On the other hand, for the solution corresponding to the disordered phase, the energy spectrum has no zero mode and the value of µ must be fixed so that the self-consistent equations are satisfied with N 0 = 0.…”

Section: These Hamiltonians Are Diagonalized Asmentioning

confidence: 97%

“…[1-5] However, it is expected that the strong quantum fluctuation in this system may lead to the destruction of the long range order with the help of some additional mechanism. In this context, the square lattice antiferromagnetic Heisenberg model with nearest and next-nearest exchange interaction (hereafter called J 1 − J 2 model) [6][7][8][9][10][11][12][13][14][15][16][17][18] and the bilayer Heisenberg model [19][20][21][22][23] have been studied extensively. Both of these models are expected to have the quantum disordered ground state for appropriate parameter regime.…”

Section: Introductionmentioning

confidence: 99%

Modified Spin Wave Theory of the Bilayer Square Lattice Frustrated Quantum Heisenberg Antiferromagnet

Hida

1996

J. Phys. Soc. Jpn.

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The ground state of the square lattice bilayer quantum antiferromagnet with nearest and next-nearest neighbour intralayer interaction is studied by means of the modified spin wave method. For weak interlayer coupling, the ground state is found to be always magnetically ordered while the quantum disordered phase appear for large enough interlayer coupling.The properties of the disordered phase vary according to the strength of the frustration.In the regime of weak frustration, the disordered ground state is an almost uncorrelated assembly of interlayer dimers, while in the strongly frustrated regime the quantum spin liquid phase which has considerable Néel type short range order appears. The behavior of the sublattice magnetization and spin-spin correlation length in each phase is discussed.

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“…Quantum Monte Carlo calculation gives it as 2.51 ± 0.01 11 and the dimer expansions, which is an approach from the α → ∞ limit, gives 2.56. 12 One of the aim of the present paper is to obtain this critical value by another method, the Schwinger-boson Gutzwiller-projection method.…”

Section: Introductionmentioning

confidence: 99%