Article
Materials Science, Multidisciplinary
Hal Tasaki, Haruki Watanabe
Summary: In this study, a general inequality is proven that relates (off-diagonal) long-range order with the charge gap in a large class of quantum many-body systems with U(1) symmetry. The implications of this inequality vary depending on the type of system, such as bosons or fermions on a lattice, or a quantum spin system.
Article
Materials Science, Multidisciplinary
Fanmao Zhang, Matheus Schossler, Alexander Seidel, Li Chen
Summary: In this study, a recursive second-quantized formula for Moore-Read Pfaffian states is constructed. The utility of such second-quantized presentations is demonstrated by directly proving the existence of frustration-free parent Hamiltonians without relying on polynomial clustering properties. Furthermore, the connection between this formalism and the existence of a nonlocal order parameter for Moore-Read states is shown, and it is proven that the latter exhibit off-diagonal long-range order (ODLRO) in these quantities. Additionally, a similar second-quantized presentation is developed for fermionic anti- and PH-Pfaffian states, as well as f- and higher wave paired composite fermion states, with ODLRO discussed in most cases.
Article
Materials Science, Multidisciplinary
L. Pisani, P. Pieri, G. Calvanese Strinati
Summary: In this study, a systematic investigation is conducted on the two-particle reduced density matrix of a superfluid fermionic system undergoing the BCS-BEC crossover. The spatial dependence evolution of the reduced density matrix is obtained from a power law at low temperature to an exponential dependence at high temperature in the superfluid phase when the interparticle coupling spans the BCS-BEC crossover.
Article
Materials Science, Multidisciplinary
Joseph Poata, Fabio Taddei, Michele Governale
Summary: In this paper, the occurrence and features of corner states in convex polygon flakes are theoretically studied. The presence of corner states between two given edges is determined by analyzing the sign of their induced masses, and general rules for convex polygon flakes are derived. Numerical simulations are conducted to validate the theoretical findings.
Article
Materials Science, Multidisciplinary
Luca Fresta, Per Moosavi
Summary: The study examines relativistic anyons in 1+1 dimensions, extending well-known models of Dirac fermions. It shows that anyonic statistics allows one to approach off-diagonal long-range order, but this possibility is disrupted by gauge coupling. The presence of a nonzero effective mass due to gauge invariance also implies screening effects independent of anyonic statistics.
Article
Mathematics
Yasuo Komori-Furuya
Summary: We study Rubio de Francia's extrapolation theorem, proving an off-diagonal limited range extrapolation theorem. By using this theorem, we obtain a multilinear off-diagonal limited range extrapolation theorem. Our results generalize and refine the known results by Duoandi-koetxea (2011), Cruz-Uribe and Martel (2018), and Li, Martell, and Ombrosi (2020).
MATHEMATICAL INEQUALITIES & APPLICATIONS
(2023)
Article
Materials Science, Multidisciplinary
Hironobu Yoshida, Hosho Katsura
Summary: In this study, we investigate the generalization of eta-pairing states to N-particle systems in a chain of N-component fermions and demonstrate that these states are exact eigenstates of an extended SU(N) Hubbard model. We observe that the correlation behavior of these states differs qualitatively for even and odd N.
Article
Materials Science, Multidisciplinary
Nikolaos Stefanidis, Inti Sodemann Villadiego
Summary: In this paper, a model is developed to describe the nature of states in the quantum Hall regime of graphene in higher Landau levels. The model includes both pure 8-function interactions and some of its derivatives. New ground states, including entangled spin and valley degrees of freedom, are found in contrast to the N = 0 Landau level. A new phase combining characteristics of a valence-bond solid and an antiferromagnet is also discovered at half-filling. The estimation of model parameters based on recent compressibility experiments is discussed.
Article
Multidisciplinary Sciences
Shinji Watanabe
Summary: Quasicrystals have unique lattice structures and rotational symmetries that differ from periodic crystals. The electric state and physical property of quasicrystals are not yet fully understood. Recent discovery of ferromagnetic long-range order in rare-earth-based quasicrystals has provided new insights into their magnetic dynamics.
SCIENTIFIC REPORTS
(2022)
Article
Nanoscience & Nanotechnology
Fatemeh Davoodi, Nahid Talebi
Summary: Topological plasmonics combines concepts from topology and plasmonics to achieve scattering-free propagation of plasmons. This study focuses on the design, characterization, and manipulation of topological plasmonic chains of nanodiscs. It explores the unique properties of these resonators and their potential to support topologically protected edge modes.
ACS APPLIED NANO MATERIALS
(2023)
Article
Physics, Multidisciplinary
Maurice de Koning, Wei Cai, Claudio Cazorla, Jordi Boronat
Summary: The mass transport properties along dislocation cores in hcp 4He are studied using a fully correlated quantum simulation approach and the PIGS method. The results show that the defective 4He systems have a negligible Bose-Einstein condensate fraction, indicating the absence of intrinsic superfluidity in dislocation cores. This challenges the interpretation of the mass-flux-experiment observations and calls for further experimental investigation.
PHYSICAL REVIEW LETTERS
(2023)
Article
Quantum Science & Technology
Tsung-Cheng Lu, Zhehao Zhang, Sagar Vijay, Timothy H. Hsieh
Summary: We propose a general framework that utilizes local measurements, local unitaries, and nonlocal classical communication to construct quantum channels capable of efficiently preparing mixed states with long-range quantum order or quantum criticality. This framework allows for the universal conversion of symmetry-protected topological phases into mixed states with long-range entanglement, enabling phase transitions with quantum critical correlations and logarithmic scaling of entanglement negativity, even with coexisting volume-law entropy. Furthermore, we demonstrate two applications of this framework using fermion occupation-number measurement to convert spinful free fermions and Chern insulators into quantum critical mixed states with enhanced algebraic correlations and critical quantum correlations in the bulk, respectively.
Article
Chemistry, Physical
David E. Korenchan, Jiaqi Lu, Mohamed Sabba, Laurynas Dagys, Lynda J. Brown, Malcolm H. Levitt, Alexej Jerschow
Summary: Nuclear spin relaxation mechanisms are challenging to identify, especially in flexible molecules. This study combines experimental and computational approaches to determine the major mechanisms responsible for spin-lattice and singlet order relaxation in pyrophosphate. Chemical shift anisotropy and spin-rotation were identified as the major mechanisms, with minor contributions from intra- and intermolecular coupling.
PHYSICAL CHEMISTRY CHEMICAL PHYSICS
(2022)
Article
Materials Science, Multidisciplinary
Song Han, Prakash Pitchappa, Wenhao Wang, Yogesh Kumar Srivastava, Mikhail V. Rybin, Ranjan Singh
Summary: The study investigates traditional symmetry-protected and accidental BIC states in a fourfold rotationally symmetric array of silicon resonators in a square lattice. Upon symmetry-breaking, BICs transform into quasi-states with decaying quality factors that follow the inverse-square law as a function of the structural asymmetry parameter. Multiple new states of extended BICs are observed beyond typical inverse-square law behavior at larger asymmetries.
ADVANCED OPTICAL MATERIALS
(2021)
Article
Nanoscience & Nanotechnology
Yu-Zeng Li, Fei-Fei Liu, Zheng-Fang Liu, Qing-Ping Wu, Xian-Bo Xiao
Summary: In this study, the zero-energy corner states in two- and three-dimensional higher-order topological insulators were constructed based on the commensurate off-diagonal Aubry-Andre-Harper model. The lattice even-odd effect was found to influence the number and position of zero-energy corner states.
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES
(2022)
