[ { "id": "https://authors.library.caltech.edu/records/1fj0h-xbc90", "eprint_status": "archive", "datestamp": "2024-01-22 19:19:15", "lastmod": "2024-01-22 19:19:15", "type": "article", "metadata_visibility": "show", "creators": { "items": [ { "id": "Son-Jun-Ho", "name": { "family": "Son", "given": "Jun Ho" }, "orcid": "0000-0002-7368-7005" }, { "id": "Alicea-J", "name": { "family": "Alicea", "given": "Jason" }, "orcid": "0000-0001-9979-3423" }, { "id": "Motrunich-Olexei", "name": { "family": "Motrunich", "given": "Olexei I." }, "orcid": "0000-0001-8031-0022" } ] }, "title": "Edge states of two-dimensional time-reversal invariant topological superconductors with strong interactions and disorder: A view from the lattice", "ispublished": "pub", "full_text_status": "public", "note": "
© 2024 American Physical Society.
\n\n ", "abstract": "Two-dimensional time-reversal-invariant topological superconductors host helical Majorana fermions at their boundary. We study the fate of these edge states under the combined influence of strong interactions and disorder, using the effective one-dimensional (1D) lattice model for the edge introduced by Jones and Metlitski [Phys. Rev. B 104, 245130 (2021)]. We specifically develop a strong-disorder renormalization-group analysis of the lattice model and identify a regime in which time-reversal is broken spontaneously, creating random magnetic domains; Majorana fermions localize to domain walls and form an infinite-randomness fixed point, identical to that appearing in the random transverse-field Ising model. While this infinite-randomness fixed point describes a fine-tuned critical point in a purely 1D system, in our edge context there is no obvious time-reversal-preserving perturbation that destabilizes the fixed point. Our analysis thus suggests that the infinite-randomness fixed point emerges as a stable phase on the edge of two-dimensional topological superconductors when strong disorder and interactions are present.
", "date": "2024-01-15", "date_type": "published", "publication": "Physical Review B", "volume": "109", "number": "3", "publisher": "American Physical Society", "pagerange": "035138", "issn": "2469-9950", "official_url": "https://authors.library.caltech.edu/records/1fj0h-xbc90", "funders": { "items": [ { "grant_number": "Institute for Quantum Information and Matter" }, { "grant_number": "GBMF1250" }, {}, { "grant_number": "DMR-2001186" } ] }, "local_group": { "items": [ { "id": "IQIM" }, { "id": "Walter-Burke-Institute-for-Theoretical-Physics" } ] }, "doi": "10.1103/physrevb.109.035138", "primary_object": { "basename": "PhysRevB.109.035138.pdf", "url": "https://authors.library.caltech.edu/records/1fj0h-xbc90/files/PhysRevB.109.035138.pdf" }, "resource_type": "article", "pub_year": "2024", "author_list": "Son, Jun Ho; Alicea, Jason; et el." }, { "id": "https://authors.library.caltech.edu/records/ggb3w-sqq59", "eprint_status": "archive", "datestamp": "2024-01-11 22:13:27", "lastmod": "2024-01-11 22:13:27", "type": "article", "metadata_visibility": "show", "creators": { "items": [ { "id": "Sala-Pablo", "name": { "family": "Sala", "given": "Pablo" }, "orcid": "0000-0001-7512-505X" }, { "id": "You-Yizhi", "name": { "family": "You", "given": "Yizhi" }, "orcid": "0000-0002-8115-8672" }, { "id": "Hauschild-Johannes", "name": { "family": "Hauschild", "given": "Johannes" }, "orcid": "0000-0003-4202-9509" }, { "id": "Motrunich-Olexei", "name": { "family": "Motrunich", "given": "Olexei" }, "orcid": "0000-0001-8031-0022" } ] }, "title": "Exotic quantum liquids in Bose-Hubbard models with spatially modulated symmetries", "ispublished": "pub", "full_text_status": "public", "note": "© 2024 American Physical Society.
\n\n ", "abstract": "We investigate the effect that spatially modulated continuous conserved quantities can have on quantum ground states. We do so by introducing a family of one-dimensional local quantum rotor and bosonic models which conserve finite Fourier momenta of the particle number, but not the particle number itself. These correspond to generalizations of the standard Bose-Hubbard model and relate to the physics of Bose surfaces. First, we show that, while having an infinite-dimensional local Hilbert space, such systems feature a nontrivial Hilbert-space fragmentation for momenta incommensurate with the lattice. This is linked to the nature of the conserved quantities having a dense spectrum and provides the first such example. We then characterize the zero-temperature phase diagram for both commensurate and incommensurate momenta. In both cases, analytical and numerical calculations predict a phase transition between a gapped (Mott insulating) and quasi-long-range-order phase; the latter is characterized by a two-species Luttinger liquid in the infrared but dressed by oscillatory contributions when computing microscopic expectation values. Following a rigorous Villain formulation of the corresponding rotor model, we derive a dual description, from where we estimate the robustness of this phase using renormalization-group arguments, where the driving perturbation has ultralocal correlations in space but power-law correlations in time. We support this conclusion using an equivalent representation of the system as a two-dimensional vortex gas with modulated Coulomb interactions within a fixed symmetry sector. We conjecture that a Berezinskii-Kosterlitz-Thouless-type transition is driven by the unbinding of vortices along the temporal direction.
", "date": "2024-01-01", "date_type": "published", "publication": "Physical Review B", "volume": "109", "number": "1", "publisher": "American Physical Society", "pagerange": "014406", "issn": "2469-9950", "official_url": "https://authors.library.caltech.edu/records/ggb3w-sqq59", "funders": { "items": [ { "grant_number": "PHY-1733907" }, { "grant_number": "DMR-2001186" }, { "grant_number": "PHY-2210452" }, { "grant_number": "Walter Burke Institute for Theoretical Physics" } ] }, "local_group": { "items": [ { "id": "Walter-Burke-Institute-for-Theoretical-Physics" }, { "id": "IQIM" } ] }, "doi": "10.1103/physrevb.109.014406", "primary_object": { "basename": "PhysRevB.109.014406.pdf", "url": "https://authors.library.caltech.edu/records/ggb3w-sqq59/files/PhysRevB.109.014406.pdf" }, "resource_type": "article", "pub_year": "2024", "author_list": "Sala, Pablo; You, Yizhi; et el." } ]