Search citation statements
Paper Sections
Citation Types
Year Published
Publication Types
Relationship
Authors
Journals
Several quantum paramagnets exhibit magnetic field-induced quantum phase transitions to an antiferromagnetic state that exists for Hc1 ≤ H ≤ Hc2. For some of these compounds, there is a significant asymmetry between the low-and high-field transitions. We present specific heat and thermal conductivity measurements in NiCl2-4SC(NH2)2, together with calculations which show that the asymmetry is caused by a strong mass renormalization due to quantum fluctuations for H ≤ Hc1 that are absent for H ≥ Hc2. We argue that the enigmatic lack of asymmetry in thermal conductivity is due to a concomitant renormalization of the impurity scattering. PACS numbers: 75.10.Jm, 75.40.Cx The correspondence between a spin system and a gas of bosons has been very fruitful for describing field-induced ordered phases in a large class of quantum paramagnets [1][2][3][4][5]. In this analogy, a magnetic field H plays the role of the chemical potential, which, upon reaching a critical value H c1 , induces a T = 0 Bose-Einstein condensation (BEC), provided that the number of bosons is conserved, the kinetic energy is dominant, and the spatial dimension d > 1. Such a BEC state corresponds to a canted XY magnetic ordering of the spins.At the BEC quantum critical point (QCP), the low-energy bosonic excitations have a quadratic dispersion ω = k 2 /2m * , where m * is the effective mass. This mass is renormalized by quantum fluctuations in the paramagnetic phase H ≤ H c1 . In magnets with H c1 H c2 the renormalization can be expected to be very strong because of the proximity to the magnetic instability. The transition at H c1 should be contrasted with the second BEC-QCP that takes place at the saturation field H c2 [6]. Since the field induced magnetization is a conserved quantity, there are no quantum fluctuations and no mass renormalization for the fully polarized phase above H c2 , i.e., the bare mass m can be obtained from the single-particle excitation spectrum at H ≥ H c2 . Thus, quantum paramagnets are ideal for studying mass renormalization effects because the effective and the bare bosonic masses can be obtained from two different QCP's that occur in the same material.Here we present theoretical and experimental evidence for a strong mass renormalization effect, m/m * 3, in NiCl 2 -4SC(NH 2 ) 2 [referred to as DTN]. We will show that the large asymmetry between the peaks in the low-temperature specific heat, C v (H), in the vicinity of H c1 and H c2 is closely described by analytical and Quantum Monte Carlo (QMC) calculations. The mass renormalization also explains similar asymmetries observed in other properties of DTN, such as magnetization [7], electron spin resonance [8], sound velocity [9,10], and magnetostriction [11]. In a remarkable contrast to these properties, peaks in the low-temperature thermal conductivity, κ, near H c1 and H c2 do not show any substantial asymmetry. We provide an explanation to this dichotomy by demonstrating that the leading boson-impurity scattering amplitude is also renormalized by quantum fluctuation...
Several quantum paramagnets exhibit magnetic field-induced quantum phase transitions to an antiferromagnetic state that exists for Hc1 ≤ H ≤ Hc2. For some of these compounds, there is a significant asymmetry between the low-and high-field transitions. We present specific heat and thermal conductivity measurements in NiCl2-4SC(NH2)2, together with calculations which show that the asymmetry is caused by a strong mass renormalization due to quantum fluctuations for H ≤ Hc1 that are absent for H ≥ Hc2. We argue that the enigmatic lack of asymmetry in thermal conductivity is due to a concomitant renormalization of the impurity scattering. PACS numbers: 75.10.Jm, 75.40.Cx The correspondence between a spin system and a gas of bosons has been very fruitful for describing field-induced ordered phases in a large class of quantum paramagnets [1][2][3][4][5]. In this analogy, a magnetic field H plays the role of the chemical potential, which, upon reaching a critical value H c1 , induces a T = 0 Bose-Einstein condensation (BEC), provided that the number of bosons is conserved, the kinetic energy is dominant, and the spatial dimension d > 1. Such a BEC state corresponds to a canted XY magnetic ordering of the spins.At the BEC quantum critical point (QCP), the low-energy bosonic excitations have a quadratic dispersion ω = k 2 /2m * , where m * is the effective mass. This mass is renormalized by quantum fluctuations in the paramagnetic phase H ≤ H c1 . In magnets with H c1 H c2 the renormalization can be expected to be very strong because of the proximity to the magnetic instability. The transition at H c1 should be contrasted with the second BEC-QCP that takes place at the saturation field H c2 [6]. Since the field induced magnetization is a conserved quantity, there are no quantum fluctuations and no mass renormalization for the fully polarized phase above H c2 , i.e., the bare mass m can be obtained from the single-particle excitation spectrum at H ≥ H c2 . Thus, quantum paramagnets are ideal for studying mass renormalization effects because the effective and the bare bosonic masses can be obtained from two different QCP's that occur in the same material.Here we present theoretical and experimental evidence for a strong mass renormalization effect, m/m * 3, in NiCl 2 -4SC(NH 2 ) 2 [referred to as DTN]. We will show that the large asymmetry between the peaks in the low-temperature specific heat, C v (H), in the vicinity of H c1 and H c2 is closely described by analytical and Quantum Monte Carlo (QMC) calculations. The mass renormalization also explains similar asymmetries observed in other properties of DTN, such as magnetization [7], electron spin resonance [8], sound velocity [9,10], and magnetostriction [11]. In a remarkable contrast to these properties, peaks in the low-temperature thermal conductivity, κ, near H c1 and H c2 do not show any substantial asymmetry. We provide an explanation to this dichotomy by demonstrating that the leading boson-impurity scattering amplitude is also renormalized by quantum fluctuation...
A Bose-Einstein condensation (BEC) has been observed in magnetic insulators in the last decade. The bosons that condensed are magnons, associated with an ordered magnetic phase induced by a magnetic field. We review the experiments in the spin-gap compound NiCl 2 -4SC(NH 2 ) 2 , in which the formation of BEC occurs by applying a magnetic field at low temperatures. This is a contribution to the celebration for the 50th anniversary of the Solid State and Low Temperature Laboratory of the University of São Paulo, where this compound was first magnetically characterized.PACS numbers: 75.50.Tt, 75.50.Gg, 75.30.Ds, Macroscopic systems governed by quantum mechanics of interacting particles attract a great deal of interest. Cold atoms and quantum magnets, whose total spin is an integer, have interesting similarities that show the common physics of these two seemingly different realizations 1-11 . All atoms with an even number of neutrons satisfy Bose statistics, which accounts for about 75 per cent of the atoms in the periodic table. Based on the Bose-Einstein statistics a gas of non-interacting massive bosons condenses below a certain temperature T BEC , in which the Bose-Einstein condensation (BEC) occurs. This is a macroscopic quantum phenomenon characterized by spontaneous quantum coherence persisting over macroscopic length and time scales. In dilute atomic gases this phenomenon was realized experimentally for cold atoms. Several quantum spin systems in solids, which show a magnetic-field induced transition, are expected to also show condensation above or below a certain critical field 2,7,12 . Studies have shown that the magnetic system can be mapped non-locally onto a set of weakly interacting bosons on a lattice.The sorting phase can be described as a BEC of bosonic quasi-particles, in which the magnetic field acts to preserve the number of bosons. Therefore, the tuning parameter to induce condensation in spin-ordered systems is not the temperature, but the magnetic field. For particles as well as magnons, a macroscopic number of bosons condense into a single quantum state-the state of lowest energy. The quantum coherence of Bose-Einstein condensation dates back to the prediction of Einstein, based on Bose's work, in 1924.In the diluted BEC the macroscopic wave function is directly connected with the microscopic energy levels, providing a complete description of these phenomena in terms of the Gross-Pitaevskii equation. The concept of a coherent macroscopic matter wave in interacting many-body systems is independent of a detailed microscopic understanding of particles. The intricacies of the many-body problem with interactions that lead to non-separable Hamiltonians are solved by this equation, which introduces effective potentials that are sim-pler than the original interactions, which in turn renders the physical problem more tractable.Experimental evidence of the BEC in confined weakly interacting gases was produced by E. A. Cornell, W. Ketterle, and C. E. Wieman in 1995, leading to a Nobel Prize in 2001. That...
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
hi@scite.ai
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.