{"id":{"repo_id":"nus","oai_identifier":"oai:scholarbank.nus.edu.sg:10635/230678"},"canonical_url":"https://search.dev.ndltd.org/etd/nus/oai:scholarbank.nus.edu.sg:10635/230678","repository":{"repo_id":"nus","name":"National University of Singapore","base_url":"https://scholarbank.nus.edu.sg/oai/request"},"display":{"title":"EXOTIC PHASES IN A SPIN-1 BOSONIC FLUX SYSTEM","abstract":"We study, using the optimisation of matrix product states, the ground state properties of an interacting spin-1 hardcore boson model on a ladder in a transverse magnetic field at zero temperature. At unit filling in the strong-interacting regime, we observe a Mott insulator phase characterised by a charge gap and a periodic exponential decay of the Green’s functions. However, surprisingly, the connected density-density correlation functions decay with a power law and neutral excitations are gapless. When the hopping strength is sufficiently large or at non-commensurate filling, the system transitions to a superfluid phase characterised by the absence of a charge gap and a power-law decay of the Green’s functions. Due to the magnetic field, bond currents, which quantify the rate of change of the average number of particles on a given site, are observed and can characterise the phases. Notably, bond current loops form in the superfluid phase.","abstract_html":"We study, using the optimisation of matrix product states, the ground state properties of an interacting spin-1 hardcore boson model on a ladder in a transverse magnetic field at zero temperature. At unit filling in the strong-interacting regime, we observe a Mott insulator phase characterised by a charge gap and a periodic exponential decay of the Green’s functions. However, surprisingly, the connected density-density correlation functions decay with a power law and neutral excitations are gapless. When the hopping strength is sufficiently large or at non-commensurate filling, the system transitions to a superfluid phase characterised by the absence of a charge gap and a power-law decay of the Green’s functions. Due to the magnetic field, bond currents, which quantify the rate of change of the average number of particles on a given site, are observed and can characterise the phases. Notably, bond current loops form in the superfluid phase.","abstract_has_math":false,"creators":["SIT HAN YU"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2022,"date_issued":"2022-05-12","date_published":"2022-05-12","updated_at":"2026-07-24T03:33:22Z","subjects":["interacting spin-1 bosons, lattice in magnetic field, Mott insulator-superfluid phase transition, matrix product states optimisation"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":null,"outbound_label":null,"outbound_source":null},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["SIT HAN YU"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.issued","label":"Date","values":["2022-05-12"]},{"key":"dc:relation.isreferencedby","label":"Dc Relation Isreferencedby","values":["https://scholarbank.nus.edu.sg/handle/10635/230678"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["interacting spin-1 bosons, lattice in magnetic field, Mott insulator-superfluid phase transition, matrix product states optimisation"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://scholarbank.nus.edu.sg/bitstreams/d9d340b1-089c-4307-b531-bacb46e7c943/download"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["We study, using the optimisation of matrix product states, the ground state properties of an interacting spin-1 hardcore boson model on a ladder in a transverse magnetic field at zero temperature. At unit filling in the strong-interacting regime, we observe a Mott insulator phase characterised by a charge gap and a periodic exponential decay of the Green’s functions. However, surprisingly, the connected density-density correlation functions decay with a power law and neutral excitations are gapless. When the hopping strength is sufficiently large or at non-commensurate filling, the system transitions to a superfluid phase characterised by the absence of a charge gap and a power-law decay of the Green’s functions. Due to the magnetic field, bond currents, which quantify the rate of change of the average number of particles on a given site, are observed and can characterise the phases. Notably, bond current loops form in the superfluid phase."]},{"key":"dc:format.checksum.md5","label":"Dc Format Checksum Md5","values":["1af1ac60ac9ac6eed9f7caf63c04f3e0","fd9520cf0b2238597081e7cca16c45d0"]},{"key":"dc:title","label":"Title","values":["EXOTIC PHASES IN A SPIN-1 BOSONIC FLUX SYSTEM"]}]}],"canonical_facts":{"dc:creator":["SIT HAN YU"],"dc:date.issued":["2022-05-12"],"dc:description.abstract":["We study, using the optimisation of matrix product states, the ground state properties of an interacting spin-1 hardcore boson model on a ladder in a transverse magnetic field at zero temperature. At unit filling in the strong-interacting regime, we observe a Mott insulator phase characterised by a charge gap and a periodic exponential decay of the Green’s functions. However, surprisingly, the connected density-density correlation functions decay with a power law and neutral excitations are gapless. When the hopping strength is sufficiently large or at non-commensurate filling, the system transitions to a superfluid phase characterised by the absence of a charge gap and a power-law decay of the Green’s functions. Due to the magnetic field, bond currents, which quantify the rate of change of the average number of particles on a given site, are observed and can characterise the phases. Notably, bond current loops form in the superfluid phase."],"dc:format.checksum.md5":["1af1ac60ac9ac6eed9f7caf63c04f3e0","fd9520cf0b2238597081e7cca16c45d0"],"dc:identifier.uri":["https://scholarbank.nus.edu.sg/bitstreams/d9d340b1-089c-4307-b531-bacb46e7c943/download"],"dc:relation.isreferencedby":["https://scholarbank.nus.edu.sg/handle/10635/230678"],"dc:subject":["interacting spin-1 bosons, lattice in magnetic field, Mott insulator-superfluid phase transition, matrix product states optimisation"],"dc:title":["EXOTIC PHASES IN A SPIN-1 BOSONIC FLUX SYSTEM"],"dc:type":["Thesis"]},"updated_at":"2026-07-24T03:33:22Z"}