In this dissertation, I study the magnetic properties of LiHoF4. Quantum criticality in rare earth ferromagnet LiHoF4 is complicated by the presence of strong crystal field and hyperfine interactions resulting, e.g., in incomplete mode softening reported by Rønnow et al. We construct a systematic framework for treating elementary excitations in this material across the phase diagram. These excitations interpolate between purely electronic, nuclear and lattice modes and exhibit two-types of quantum critical softening, both complete (as anticipated by elementary treatments, see e.g. Sachdev) but also incomplete, in close correspondence with nuclear scattering results.
","abstract_html":"<p>In this dissertation, I study the magnetic properties of LiHoF<sub>4</sub>. Quantum criticality in rare earth ferromagnet LiHoF<sub>4</sub> is complicated by the presence of strong crystal field and hyperfine interactions resulting, e.g., in incomplete mode softening reported by Rønnow et al. We construct a systematic framework for treating elementary excitations in this material across the phase diagram. These excitations interpolate between purely electronic, nuclear and lattice modes and exhibit two-types of quantum critical softening, both complete (as anticipated by elementary treatments, see e.g. Sachdev) but also incomplete, in close correspondence with nuclear scattering results.</p>","abstract_has_math":false,"creators":["Ma, Haifu"],"institution":"The Graduate School and University Center of The City University of New York","degree_name":"Doctor of Philosophy","degree_level":"Doctoral","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":[],"advisors":["Vadim Oganesyan"],"committee_chairs":[],"committee_members":["Eugene Chudnovsky","Dmitry Garanin","Pouyan Ghaemi","Steven Girvin","Tobias Schafer"],"year":2015,"date_issued":"2015-09-30T07:00:00Z","date_published":"2015-09-30T07:00:00Z","updated_at":"2026-07-24T02:00:13Z","subjects":["Condensed Matter Physics","Physics","Ising model; LiHoF4; mean field theory; quantum criticality"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://academicworks.cuny.edu/gc_etds/1042","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Vadim Oganesyan"]},{"key":"dc:contributor.committeemember","label":"Committee Member","values":["Eugene Chudnovsky","Dmitry Garanin","Pouyan Ghaemi","Steven Girvin","Tobias Schafer"]},{"key":"dc:creator","label":"Author","values":["Ma, Haifu"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2016-03-29T07:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Doctoral"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Doctor of Philosophy"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["The Graduate School and University Center of The City University of New York"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Condensed Matter Physics","Physics","Ising model; LiHoF4; mean field theory; quantum criticality"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://academicworks.cuny.edu/gc_etds/1042"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["In this dissertation, I study the magnetic properties of LiHoF4. Quantum criticality in rare earth ferromagnet LiHoF4 is complicated by the presence of strong crystal field and hyperfine interactions resulting, e.g., in incomplete mode softening reported by Rønnow et al. We construct a systematic framework for treating elementary excitations in this material across the phase diagram. These excitations interpolate between purely electronic, nuclear and lattice modes and exhibit two-types of quantum critical softening, both complete (as anticipated by elementary treatments, see e.g. Sachdev) but also incomplete, in close correspondence with nuclear scattering results.
"]},{"key":"dc:title","label":"Title","values":["Hybridized Criticality and Elementary Excitations in LiHoF4"]}]}],"canonical_facts":{"dc:contributor.advisor":["Vadim Oganesyan"],"dc:contributor.committeemember":["Eugene Chudnovsky","Dmitry Garanin","Pouyan Ghaemi","Steven Girvin","Tobias Schafer"],"dc:creator":["Ma, Haifu"],"dc:date.available":["2016-03-29T07:00:00Z"],"dc:description.abstract":["In this dissertation, I study the magnetic properties of LiHoF4. Quantum criticality in rare earth ferromagnet LiHoF4 is complicated by the presence of strong crystal field and hyperfine interactions resulting, e.g., in incomplete mode softening reported by Rønnow et al. We construct a systematic framework for treating elementary excitations in this material across the phase diagram. These excitations interpolate between purely electronic, nuclear and lattice modes and exhibit two-types of quantum critical softening, both complete (as anticipated by elementary treatments, see e.g. Sachdev) but also incomplete, in close correspondence with nuclear scattering results.
"],"dc:identifier":["https://academicworks.cuny.edu/gc_etds/1042"],"dc:subject":["Condensed Matter Physics","Physics","Ising model; LiHoF4; mean field theory; quantum criticality"],"dc:title":["Hybridized Criticality and Elementary Excitations in LiHoF4"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Doctoral"],"thesis:degree_name":["Doctor of Philosophy"],"thesis:institution_name":["The Graduate School and University Center of The City University of New York"]},"updated_at":"2026-07-24T02:00:13Z"}