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Title: Characterization of the Dilute Ising Antiferromagnet

Abstract

A spin glass is a magnetic ground state in which ferromagnetic and antiferromagnetic exchange interactions compete, thereby creating frustration and a multidegenerate state with no long range order. An Ising system is a system where the spins are constrained to lie parallel or antiparallel to a primary axis. There has been much theoretical interest in the past ten years in the effects of applying a magnetic field transverse to the primary axis in an Ising spin glass at low temperatures and thus study phase transitions at the T=0 limit. The focus of this study is to search for and characterize a new Ising spin glass system. This is accomplished by site diluting yttrium for terbium in the crystalline material TbNi 2Ge 2. The first part of this work gives a brief overview of the physics of rare earth magnetism and an overview of experimental characteristics of spin glasses. This is followed by the methodology used to manufacture the large single crystals used in this study, as well as the measurement techniques used. Next, a summary of the results of magnetic measurements on across the dilution series from pure terbium to pure yttrium is presented. This is followed by detailed measurementsmore » on particular dilutions which demonstrate spin glass behavior. Pure TbNi 2Ge 2 is an Ising antiferromagnet with a several distinct metamagnetic states below 17 K. As the terbium is alloyed with yttrium, these magnetic states are weakened in a consistent manner, as is seen in measurements of the transition temperatures and analysis of Curie-Weiss behavior at high temperature. At low concentrations of terbium, below 35%, long range order is no longer present and a spin-glass-like state emerges. This state is studied through various measurements, dc and ac susceptibility, resistivity, and specific heat. This magnetic behavior was then compared to that of other well characterized spin glasses. It is concluded that there is a region of concentration s for which a spin glass state is formed with the best spin glasses existing between the concentration of 25% and 30%.« less

Authors:
 [1]
  1. Iowa State Univ., Ames, IA (United States)
Publication Date:
Research Org.:
Ames Lab., Ames, IA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
764680
Report Number(s):
IS-T 1910
TRN: US0100415
DOE Contract Number:
W-7405-ENG-82
Resource Type:
Thesis/Dissertation
Resource Relation:
Other Information: TH: Thesis; PBD: 12 Sep 2000
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; EXCHANGE INTERACTIONS; GROUND STATES; MAGNETIC FIELDS; RARE EARTHS; SPECIFIC HEAT; SPIN GLASS STATE; TRANSITION TEMPERATURE

Citation Formats

Wiener, Timothy. Characterization of the Dilute Ising Antiferromagnet. United States: N. p., 2000. Web. doi:10.2172/764680.
Wiener, Timothy. Characterization of the Dilute Ising Antiferromagnet. United States. doi:10.2172/764680.
Wiener, Timothy. Tue . "Characterization of the Dilute Ising Antiferromagnet". United States. doi:10.2172/764680. https://www.osti.gov/servlets/purl/764680.
@article{osti_764680,
title = {Characterization of the Dilute Ising Antiferromagnet},
author = {Wiener, Timothy},
abstractNote = {A spin glass is a magnetic ground state in which ferromagnetic and antiferromagnetic exchange interactions compete, thereby creating frustration and a multidegenerate state with no long range order. An Ising system is a system where the spins are constrained to lie parallel or antiparallel to a primary axis. There has been much theoretical interest in the past ten years in the effects of applying a magnetic field transverse to the primary axis in an Ising spin glass at low temperatures and thus study phase transitions at the T=0 limit. The focus of this study is to search for and characterize a new Ising spin glass system. This is accomplished by site diluting yttrium for terbium in the crystalline material TbNi2Ge2. The first part of this work gives a brief overview of the physics of rare earth magnetism and an overview of experimental characteristics of spin glasses. This is followed by the methodology used to manufacture the large single crystals used in this study, as well as the measurement techniques used. Next, a summary of the results of magnetic measurements on across the dilution series from pure terbium to pure yttrium is presented. This is followed by detailed measurements on particular dilutions which demonstrate spin glass behavior. Pure TbNi2Ge2 is an Ising antiferromagnet with a several distinct metamagnetic states below 17 K. As the terbium is alloyed with yttrium, these magnetic states are weakened in a consistent manner, as is seen in measurements of the transition temperatures and analysis of Curie-Weiss behavior at high temperature. At low concentrations of terbium, below 35%, long range order is no longer present and a spin-glass-like state emerges. This state is studied through various measurements, dc and ac susceptibility, resistivity, and specific heat. This magnetic behavior was then compared to that of other well characterized spin glasses. It is concluded that there is a region of concentration s for which a spin glass state is formed with the best spin glasses existing between the concentration of 25% and 30%.},
doi = {10.2172/764680},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Sep 12 00:00:00 EDT 2000},
month = {Tue Sep 12 00:00:00 EDT 2000}
}

Thesis/Dissertation:
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  • Scaling concepts are applied to three problems in condensed matter physics. The N-orbital, single-impurity Kondo problem is shown to be equivalent to an N-state Potts model in one dimension with inverse-square interactions. Using renormalization techniques, it is found that the peak in the static magnetic susceptibility at finite N develops into a discontinuity as N ..-->.. infinity. A scaling hypothesis is consistent with an increase in the peak height as lnN. The practice of using a high-energy cutoff such as the bandwidth as an effective temperature is discussed. Secondly, a generalized model of aggregation is introduced in which particles interactmore » at a distance. For infinite-range interactions, the model is solved exactly. A scaling ansatz, similar to that made in finite-size scaling of critical phenomena, is used to extrapolate the results to finite range. Computer simulations support this ansatz. Lastly, the two-dimensional random-field Ising model is used to model monolayer adsorption onto a substrate with quenched, random impurities. From renormalization-group arguments, expressions are obtained for the zero-field susceptibility as a function of the linear dimension of a typical crystallite and the width of the field distribution. The Curie-law divergence of the susceptibility found at low temperatures for pure finite-sized crystallites is removed in the presence of impurities.« less
  • Calculations for the two-point correlation functions in the scaling limit for two statistical models are presented. In Part I, the Ising model with a linear defect is studied for T < T/sub c/ and T > T/sub c/. The transfer matrix method of Onsager and Kaufman is used. The energy-density correlation is given by functions related to the modified Bessel functions. The dispersion expansion for the spin-spin correlation functions are derived. The dominant behavior for large separations at T not equal to T/sub c/ is extracted. It is shown that these expansions lead to systems of Fredholm integral equations. Inmore » Part II, the electric correlation function of the eight-vertex model for T < T/sub c/ is studied. The eight vertex model decouples to two independent Ising models when the four spin coupling vanishes. To first order in the four-spin coupling, the electric correlation function is related to a three-point function of the Ising model. This relation is systematically investigated and the full dispersion expansion (to first order in four-spin coupling) is obtained. The results is a new kind of structure which, unlike those of many solvable models, is apparently not expressible in terms of linear integral equations.« less