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- Publisher Website: 10.1103/PhysRevB.104.L081109
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Article: Scaling of the disorder operator at (2 + 1)d U(1) quantum criticality
Title | Scaling of the disorder operator at (2 + 1)d U(1) quantum criticality |
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Authors | |
Issue Date | 2021 |
Publisher | American Physical Society. The Journal's web site is located at http://journals.aps.org/prb/ |
Citation | Physical Review B: covering condensed matter and materials physics, 2021, v. 104 n. 8, p. article no. L081109 How to Cite? |
Abstract | We study disorder operator, defined as a symmetry transformation applied to a finite region, across a continuous quantum phase transition in (2+1)d. We show analytically that, at a conformally invariant critical point with U(1) symmetry, the disorder operator with a small U(1) rotation angle defined on a rectangle region exhibits power-law scaling with the perimeter of the rectangle. The exponent is proportional to the current central charge of the critical theory. Such a universal scaling behavior is due to the sharp corners of the region and we further obtain a general formula for the exponent when the corner is nearly smooth. To probe the full parameter regime, we carry out systematic computation of the U(1) disorder parameter in the square lattice Bose-Hubbard model across the superfluid-insulator transition with large-scale quantum Monte Carlo simulations, and confirm the presence of the universal corner correction. The exponent of the corner term determined from numerical simulations agrees well with the analytical predictions. © 2021 American Physical Society. |
Persistent Identifier | http://hdl.handle.net/10722/302471 |
ISSN | 2023 Impact Factor: 3.2 2023 SCImago Journal Rankings: 1.345 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Wang, YC | - |
dc.contributor.author | Cheng, M | - |
dc.contributor.author | Meng, ZY | - |
dc.date.accessioned | 2021-09-06T03:32:46Z | - |
dc.date.available | 2021-09-06T03:32:46Z | - |
dc.date.issued | 2021 | - |
dc.identifier.citation | Physical Review B: covering condensed matter and materials physics, 2021, v. 104 n. 8, p. article no. L081109 | - |
dc.identifier.issn | 2469-9950 | - |
dc.identifier.uri | http://hdl.handle.net/10722/302471 | - |
dc.description.abstract | We study disorder operator, defined as a symmetry transformation applied to a finite region, across a continuous quantum phase transition in (2+1)d. We show analytically that, at a conformally invariant critical point with U(1) symmetry, the disorder operator with a small U(1) rotation angle defined on a rectangle region exhibits power-law scaling with the perimeter of the rectangle. The exponent is proportional to the current central charge of the critical theory. Such a universal scaling behavior is due to the sharp corners of the region and we further obtain a general formula for the exponent when the corner is nearly smooth. To probe the full parameter regime, we carry out systematic computation of the U(1) disorder parameter in the square lattice Bose-Hubbard model across the superfluid-insulator transition with large-scale quantum Monte Carlo simulations, and confirm the presence of the universal corner correction. The exponent of the corner term determined from numerical simulations agrees well with the analytical predictions. © 2021 American Physical Society. | - |
dc.language | eng | - |
dc.publisher | American Physical Society. The Journal's web site is located at http://journals.aps.org/prb/ | - |
dc.relation.ispartof | Physical Review B: covering condensed matter and materials physics | - |
dc.rights | Copyright [2021] by The American Physical Society. This article is available online at [http://dx.doi.org/10.1103/PhysRevB.104.L081109]. | - |
dc.title | Scaling of the disorder operator at (2 + 1)d U(1) quantum criticality | - |
dc.type | Article | - |
dc.identifier.email | Meng, ZY: zymeng@hku.hk | - |
dc.identifier.authority | Meng, ZY=rp02524 | - |
dc.description.nature | published_or_final_version | - |
dc.identifier.doi | 10.1103/PhysRevB.104.L081109 | - |
dc.identifier.scopus | eid_2-s2.0-85114023452 | - |
dc.identifier.hkuros | 324735 | - |
dc.identifier.volume | 104 | - |
dc.identifier.issue | 8 | - |
dc.identifier.spage | article no. L081109 | - |
dc.identifier.epage | article no. L081109 | - |
dc.identifier.isi | WOS:000686911400007 | - |
dc.publisher.place | United States | - |