Exact Dimer Ground State and Quantized Magnetization Plateaus in the Two-Dimensional Spin System<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>SrCu</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>BO</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mo>)</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi /></mml:mrow><mml:mrow>

Kageyama, Hiroshi; Yoshimura, Kazuyoshi; Stern, Raivo; Mushnikov, N. V.; Onizuka, Kenzo; Kato, Masaki; Koyamada, Koji; Slichter, Charles P.; Goto, T.; Ueda, Yutaka

doi:10.1103/physrevlett.82.3168

Cited by 792 publications

(798 citation statements)

References 25 publications

Supporting

Mentioning

760

Contrasting

Unclassified

Order By: Relevance

“…A further possibility for a plateau in the value of Ω with increasing B is worth mentioning [44], as analogs are realized in SrCu 2 (BO 3 ) 2 [45] and NH 4 CuCl 3 [46]. So far we have found plateaus at Ω = 0 for B < ∆, and at Ω = 1/2 for large B.…”

Section: Strong Fieldsmentioning

confidence: 82%

“…The plateau at Ω = 1/4 is not present in the nearest-neighbor model H d in (1), but it is believed that such a plateau will appear upon including frustrating exchange interactions; this plateau will involve a broken translational symmetry in the coupled dimer antiferromagnet. Such magnetization plateaux are found in SrCu2(BO3)2 [45] and NH4CuCl3 [46] …”

Section: Square Lattice Antiferromagnetmentioning

confidence: 91%

“…Any integer-valued solution of (46) is an acceptable choice for a 0 µ , and a convenient choice is shown in Fig 8. Using (46) to rewrite the Berry phase in (44), applying (45), and shifting a µ by the integer 2Sa 0 µ , we obtain a new exact representation of Z A in (44):…”

Section: Paramagnetic Phasementioning

confidence: 99%

“…While a quantitative synthesis of theory and experiment in the superconducting materials remains elusive, much progress has been made in describing a number of antiferromagnetic Mott insulators. A number of such insulators have been studied extensively in the past decade, with a few prominent examples being CaV 4 O 9 [1], (C 5 H 12 N 2 ) 2 Cu 2 Cl 4 [2,3,4], SrCu 2 (BO 3 ) 2 [5,6], TlCuCl 3 [7,8,9,10], and Cs 2 CuCl 4 [11,12]. In some cases, it has even been possible to tune these insulators across quantum phase transitions by applied pressure [8] or by an applied magnetic field [3,4,7,9].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Quantum phases and phase transitions of Mott insulators

Sachdev

2004

Quantum Magnetism

View full text Add to dashboard Cite

Summary. This article contains a theoretical overview of the physical properties of antiferromagnetic Mott insulators in spatial dimensions greater than one. Many such materials have been experimentally studied in the past decade and a half, and we make contact with these studies. The simplest class of Mott insulators have an even number of S = 1/2 spins per unit cell, and these can be described with quantitative accuracy by the bond operator method: we discuss their spin gap and magnetically ordered states, and the transitions between them driven by pressure or an applied magnetic field. The case of an odd number of S = 1/2 spins per unit cell is more subtle: here the spin gap state can spontaneously develop bond order (so the ground state again has an even number of S = 1/2 spins per unit cell), and/or acquire topological order and fractionalized excitations. We describe the conditions under which such spin gap states can form, and survey recent theories (T. Senthil et al., cond-mat/0312617) of the quantum phase transitions among these states and magnetically ordered states. We describe the breakdown of the Landau-GinzburgWilson paradigm at these quantum critical points, accompanied by the appearance of emergent gauge excitations.

show abstract

Section: Strong Fieldsmentioning

confidence: 82%

Section: Square Lattice Antiferromagnetmentioning

confidence: 91%

Section: Paramagnetic Phasementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Quantum phases and phase transitions of Mott insulators

Sachdev

2004

Quantum Magnetism

View full text Add to dashboard Cite

show abstract

“…For example, cuprate compounds such as SrCu 2 O 3 [1,2], Sr 14 Cu 24 O 41 [3], and La 4 Cu 3 MoO 12 [4,5] have attracted attention because of their unusual low-temperature magnetic properties. Cuprate and borate groups are two-dimensional spin gap systems with the exact dimer ground state [6][7][8]. Additionally, several borate phases display excellent linear and non-linear optical properties [9][10][11][12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Synthesis, structure and properties of Pb2CuB2O6

Pan

Smit

Marvel

et al. 2006

Materials Research Bulletin

View full text Add to dashboard Cite

Single crystals of Pb 2 CuB 2 O 6 were grown from a PbO/CuO/B 2 O 3 flux, and crystallize in a monoclinic cell of dimensions a = 5.6311(6), b = 8.7628(9), c = 6.2025(6) Å , and b = 115.7060(10)8 with Z = 2; the space group is P2 1 /c (no. 14). The structure was determined from 662 unique reflections and refined to the final residuals R 1 = 0.0217, wR 2 = 0.0586. The structure is characterized by the two-dimensional layer of interconnected rectangular planar CuO 4 and triangular planar BO 3 groups. The results of quantitative analysis ICP, DTA, vibrational spectroscopy, and magnetic investigations are also presented. #

show abstract

Low-Dimensional Quantum Spin Systems in Pulsed Magnetic Fields up to 50 T

Wolf

Жерлицын

Schmidt

et al. 2002

phys. stat. sol. (a)

View full text Add to dashboard Cite

Low-dimensional spin systems reveal new and unexpected physical phenomena such as distinct plateaus in the magnetization as a function of magnetic field. In this paper, we present ESR and ultrasonic measurements for the quasi-two-dimensional spin system SrCu 2 (BO 3 ) 2 and the spinchain compound NH 4 CuCl 3 in magnetic fields up to 50 T. From the combination of our experimental techniques we obtain detailed information about the spin state, the magnetic excitations and their interaction with phonons. The dimerized quantum-spin system SrCu 2 (BO 3 ) 2 exhibits plateaus in the magnetization and shows surprisingly strong magneto-elastic effects as a function of temperature and magnetic field. The pronounced elastic anomalies indicate a resonant interaction between the sound wave and the magnetic excitations. In contrast to SrCu 2 (BO 3 ) 2 we find in NH 4 CuCl 3 a linear relation of the c 66 mode and the magnetic susceptibility.Introduction The physics of low-dimensional spin systems has a long history beginning with an analysis of the antiferromagnetically coupled spin chain by Bethe in 1931. In recent years many new effects were found especially for one-dimensional spin systems.In several experiments the energy gap between the nonmagnetic ground state and the first excited state, e.g. in antiferromagnetic Heisenberg chains with integer spin or dimerized spin-1/2 systems, are determined in zero magnetic fields. But also an external field can produce spin gaps, which are seen as quantization steps in the magnetization curve. Recently Oshikawa et al.[1] gave a condition for the occurrence of magnetization plateaus in quantum spin chains: n(S --m) ¼ integer, where n is the period of the spin ground state, S the spin quantum number and m the magnetization per magnetic ion. A similar condition is also valid for two-dimensional systems like SrCu 2 (BO 3 ) 2 where such magnetization plateaus are also observed.Especially ESR and ultrasonic measurements in pulsed magnetic fields are suitable for experiments on low-dimensional spin systems. With such measurements we can determine the excited states and their softening in a magnetic field. For this reason we developed the new method of measuring the ultrasound velocity and attenuation simultaneously in pulsed fields up to 50 T. In a series of papers [2][3][4][5][6][7][8] we have shown that with this spectroscopic method we can investigate soft magnetic modes, magneto-acoustic quantum oscillations, and different phase transitions in pulsed fields up to 50 T. This technique is complementary to ESR in pulsed fields [5] because it covers the low frequency region.In our high field laboratory we also perform ESR measurements in pulsed fields using Faraday-and Voigt-geometries for frequencies from 30-440 GHz and temperatures down to 1.3 K.

show abstract

Exact Dimer Ground State and Quantized Magnetization Plateaus in the Two-Dimensional Spin SystemSrCu2(BO3)

Cited by 792 publications

References 25 publications

Quantum phases and phase transitions of Mott insulators

Quantum phases and phase transitions of Mott insulators

Synthesis, structure and properties of Pb2CuB2O6

Low-Dimensional Quantum Spin Systems in Pulsed Magnetic Fields up to 50 T

Contact Info

Product

Resources

About