Field-Induced Quantum Criticality and Universal Temperature Dependence of the Magnetization of a Spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math>Heisenberg Chain

Kono, Yohei; Sakakibara, Toshiro; Aoyama, Christopher; Hotta, Chisa; Turnbull, Mark M.; Landee, Christopher P.; Takano, Yasushi

doi:10.1103/physrevlett.114.037202

Cited by 64 publications

(140 citation statements)

References 37 publications

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“…In particular, one-dimensional (1D) spin systems for which exact solutions are available may serve as a test bed for quantitative comparison between theories and experiments [16][17][18][19]. Indeed, quite a few excellent quasi-1D quantum magnets having accessible critical field strength, i.e., relatively small exchange coupling strength, have been synthesized in single crystals [20,21], which triggered activities for experimentally probing various field-induced quantum criticality [22][23][24][25].Arguably the simplest model to capture quantum criticality, a nearest-neighbor S = 1/2 Heisenberg antiferromagnetic chain, is realized in the organometallic compound * minki.jeong@gmail.com Cu(C 4 H 4 N 2 )(NO 3 ) 2 , CuPzN for short [26,27]. This material has a relatively small exchange constant J /k B = 10.3 K along the chain direction (crystallographic a axis of an orthorhombic structure) [27], which results in a laboratory-accessible saturation field H s = 2J /gμ B 13.9-15 T depending on the field orientation [28][29][30].…”

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Quantum critical scaling for a Heisenberg spin-12chain around saturation

Jeong

Rønnow

2015

Phys. Rev. B

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We demonstrate quantum critical scaling for an S = 1/2 Heisenberg antiferromagnetic chain compound Cu(C 4 H 4 N 2 )(NO 3 ) 2 in a magnetic field around saturation, by analyzing previously reported magnetization [Y. Kono et al., Phys. Rev. Lett. 114, 037202 (2015)], thermal expansion [J. Rohrkamp et al., J. Phys.: Conf. Ser. 200, 012169 (2010)], and NMR relaxation data [H. Kühne et al., Phys. Rev. B 80, 045110 (2009)]. The scaling of magnetization is demonstrated through collapsing the data for a range of both temperature and field onto a single curve without making any assumption for a theoretical form. The data collapse is subsequently shown to closely follow the theoretically predicted scaling function without any adjustable parameters. Experimental boundaries for the quantum critical region could be drawn from the variable range beyond which the scaled data deviate from the theoretical function. Similarly to the magnetization, quantum critical scaling of the thermal expansion is also demonstrated. Further, the spin dynamics probed via NMR relaxation rate 1/T 1 close to the saturation is shown to follow the theoretically predicted quantum critical behavior as 1/T 1 ∝ T −0.5 persisting up to temperatures as high as k B T J , where J is the exchange coupling constant. A quantum critical point (QCP) is a zero-temperature singularity in the phase diagram of matter forming the border between two competing ground states [1]. It is driven by a nonthermal parameter such as a magnetic field, pressure, or chemical substitution, and characterized by strong quantum fluctuations. While a QCP is defined strictly at zero temperature, the interplay between quantum and thermal fluctuations gives rise to a so-called quantum critical region at finite temperatures in an extended parameter space (illustrated by the yellow fan-out area in Fig. 1). This intriguing region is characterized by the absence of energy scales other than temperature as well as the corresponding critical properties of physical observables, e.g., correlation or response functions, which culminate into scaling behavior and universality [1][2][3][4]. Such quantum criticality has been experimentally observed or inferred in diverse systems including magnetic insulators [5][6][7], organic conductors [8], heavy fermions [9,10], cuprates [11], pnictides [12], and cold atoms [13], and is widely believed to underpin exotic phenomena like unconventional superconductivity. However, understanding quantum criticality through connecting microscopics to experimental observation largely remains challenging [1,[8][9][10][11][12]14].Quantum magnets are an ideal playground in that respect owing to their simple and well-defined Hamiltonian [15]. In particular, one-dimensional (1D) spin systems for which exact solutions are available may serve as a test bed for quantitative comparison between theories and experiments [16][17][18][19]. Indeed, quite a few excellent quasi-1D quantum magnets having accessible critical field strength, i.e., relatively small exchange coupling strengt...

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Quantum critical scaling for a Heisenberg spin-12chain around saturation

Jeong

Rønnow

2015

Phys. Rev. B

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“…Real materials described by this model have provided a convenient platform for the study of TLSL physics using e.g. thermodynamic measurements, [14][15][16][17][18] neutron spectroscopy, [19][20][21] or nuclear magnetic resonance (NMR) experiments 22,23 . One attraction of spin systems is that their fermionic interactions are continuously tunable by applying an external magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Finite-temperature scaling of spin correlations in a partially magnetized HeisenbergS=12chain

et al. 2015

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Inelastic neutron scattering is employed to study transverse spin correlations of a Heisenberg S = 1/2 chain compound in a magnetic field of 7.5 T. The target compound is the antiferromagnetic Heisenberg S = 1/2 chain material 2(1,4-Dioxane)·2(H2O)·CuCl2, or CuDCl for short. The validity and the limitations of the scaling relation for the transverse dynamic structure factor are tested, discussed and compared to the Tomonaga-Luttinger spin liquid theory and to Bethe-ansatz results for the Heisenberg model.

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“…9) converges to a prominent peak profile C V for T = 0 at the QCP, and the relatively high temperature quenches any discernible peak feature. For J o =J e , two successive local minima show up in Fig.10, implying two QPTs with the increase of E. The universal characteristic power laws in Tomonaga-Luttinger-liquid phase can be identified in the measured specific heat 39,40 .…”

Section: Thermodynamicsmentioning

confidence: 90%

“…More precisely, C V ∝ √ T at critical points 39 and C V ∝ T in gapless chiral phase 38 , in addition to an exponential activation in the gapped phases. Although the power-law scaling of the specific heat at the QCPs is identical to that of the entropy, the shallow trough in the specific heat implies that the critical temperature T c (E) falls to zero as E → E c .…”

Section: Thermodynamicsmentioning

confidence: 99%

Quantum phase transitions of a generalized compass chain with staggered Dzyaloshinskii–Moriya interaction

Ni²,

You³

2017

J. Phys.: Condens. Matter

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We consider a class of one-dimensional compass models with staggered Dzyaloshinskii-Moriya exchange interactions in an external transverse magnetic field. Based on the exact solution derived from Jordan-Wigner approach, we study the excitation gap, energy spectra, spin correlations and critical properties at phase transitions. We explore mutual effects of the staggered DzyaloshinskiiMoriya interaction and the magnetic field on the energy spectra and the ground-state phase diagram. Thermodynamic quantities including the entropy and the specific heat are discussed, and their universal scalings at low temperature are demonstrated.

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Field-Induced Quantum Criticality and Universal Temperature Dependence of the Magnetization of a Spin-1/2Heisenberg Chain

Cited by 64 publications

References 37 publications

Quantum critical scaling for a Heisenberg spin-12chain around saturation

Quantum critical scaling for a Heisenberg spin-12chain around saturation

Finite-temperature scaling of spin correlations in a partially magnetized HeisenbergS=12chain

Quantum phase transitions of a generalized compass chain with staggered Dzyaloshinskii–Moriya interaction

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