2026-09-22T02:49:24Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/127406 2026-02-03 col_2142_5131 col_2142_8859 com_2142_5130 com_2142_8858 com_2142_234

application/pdf en text Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2026-12-01 The student, Chad Germany, accepted the attached license on 2024-12-06 at 13:57. The student, Chad Germany, submitted this Dissertation for approval on 2024-12-06 at 13:57. This Dissertation was approved for publication on 2024-12-06 at 16:33. DSpace SAF Submission Ingestion Package generated from Vireo submission #21534 on 2025-03-28 at 14:44:50 Numerical simulation of quantum spin systems and experimental optimization Germany, Chad 2024-12-06 Clark, Bryan Phillips, Phillip MacDougall, Gregory Peng, Jen-Chieh Hamiltonian Spin Liquids Heisenberg Antiferromagnet Phase Transition Numerical Calculations. eng In neutron scattering experiments, materials such as herbertsmithite have demonstrated promising spin liquid behavior. Herbertsmithite has magnetically isolated interstitial layers of spins in a kagome lattice structure. This motivates studying quantum spin liquids on the two-dimensional kagome lattice. Spin liquids have previously been identified in multiple Hamiltonians on the kagome lattice, including in the Heisenberg limit. It is an interesting question whether these various spin liquids are part of a single connected phase. If so, this would help identify an additional class of Hamiltonians that support spin liquids as well as help resolve a controversy about the identity of the S=1/2 kagome Heisenberg antiferromagnet (KHA) spin liquid. Using numerical calculations, we want to observe if there is a phase transition between these various spin liquids; the absence of such a transition would verify that the two spin liquids are the same. This will be accomplished by changing the parameters of one Hamiltonian to the other and observing any change in phase with its states. 2024-12 Thesis https://hdl.handle.net/2142/127406 Copyright 2024 Chad Germany Physics Physics University of Illinois at Urbana-Champaign Ph.D. Dissertation