Article
Materials Science, Multidisciplinary
Kazuki Yamamoto, Norio Kawakami
Summary: Universal scaling relations for dissipative Tomonaga-Luttinger (TL) liquids with SU(N) spin symmetry are obtained for both fermions and bosons, by using asymptotic Bethe-ansatz solutions and conformal field theory (CFT) in one-dimensional non-Hermitian quantum many-body systems with SU(N) symmetry. We uncover that the spectrum of dissipative TL liquids with SU(N) spin symmetry is described by the sum of one charge mode characterized by a complex generalization of c = 1 U(1) Gaussian CFT, and N - 1 spin modes characterized by level-1 SU(N) Kac-Moody algebra with the conformal anomaly c = N - 1, and thereby dissipation only affects the charge mode as a result of spin-charge separation in one-dimensional non-Hermitian quantum systems. The derivation is based on a complex generalization of Haldane's ideal-gas description, which is implemented by the SU(N) Calogero-Sutherland model with inverse-square long-range interactions.
Article
Physics, Multidisciplinary
Rahul Soni, Nitin Kaushal, Cengiz Sen, Fernando A. Reboredo, Adriana Moreo, Elbio Dagotto
Summary: In this study, a multi-orbital Hubbard model with two and three orbitals per site was studied using full exact diagonalization. The results were mapped into Heisenberg models at intermediate and large onsite repulsion U. The study provides an estimate for the ratios J(2)/J(1) and J(3)/J(1) in these effective models, showing that they are rather limited and can be enhanced in the intermediate Hubbard U regime.
NEW JOURNAL OF PHYSICS
(2022)
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
Astronomy & Astrophysics
Manu Mathur, Atul Rathor
Summary: Exact duality transformations are constructed in pure SU(N) Hamiltonian lattice gauge theory in (2 + 1) dimension. This duality is obtained through a series of iterative canonical transformations on the SU(N) electric vector fields and their conjugate magnetic vector potentials on the four links around every plaquette. The resulting dual description is in terms of magnetic scalar fields or plaquette flux loops and their conjugate electric scalar potentials. Under SU(N) gauge transformations, they both transform like adjoint matter fields. The dual Hamiltonian describes the nonlocal self-interactions of these plaquette flux loops in terms of the electric scalar potentials and with inverted coupling. We show that these nonlocal loop interactions can be made local and converted into minimal couplings by introducing SU(N) auxiliary gauge fields along with new plaquette constraints. The matter fields can be included through minimal coupling. The techniques can be easily generalized to (3 + 1) dimensions.
Article
Materials Science, Multidisciplinary
T. Balcerzak
Summary: In this study, the ground state properties of an atomic dimer with spin S=1 were investigated using the exact diagonalization method. The effects of exchange interaction anisotropy, single-ion anisotropy, and biquadratic exchange interaction were taken into account. The results show that the energy spectrum, biquadratic moment, residual entropy, ground-state phase diagrams, and magnetization curves can be calculated and analyzed using this method.
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS
(2022)
Article
Physics, Multidisciplinary
Nirmalendu Acharyya, Mahul Pandey, Sachindeo Vaidya
Summary: The SU(N) Yang-Mills matrix model allows for self-dual and anti-self-dual instantons, with the index (n(+) - n(-)) representing a new instanton charge T-new. Additionally, the path integral measure is shown to not be invariant under chiral rotation, with axial symmetry broken anomalously and a residual symmetry being a finite group for different types of quarks.
PHYSICAL REVIEW LETTERS
(2021)
Article
Astronomy & Astrophysics
A. Melikyan, G. Weber
Summary: We investigate the quantum integrability of a general anisotropic massive SU(N) fermionic model and derive a system of equations resulting in the S-matrix by regularizing singular operator products. We find non-trivial solutions and illustrate our findings using the SU(3) model. In the massless limit, the Yang-Baxter equation is satisfied for all coupling constants, while in the massive case, the solutions are parameterized in terms of the exceptional solutions to the eight-vertex model.
Article
Astronomy & Astrophysics
Tianjun Li, Adeel Mansha, Rui Sun, Lina Wu, Weikun He
Summary: For the first time, N = 1 supersymmetric SU(12)(C) x SU(2)(L) x SU(2)(R) models, SU(4)(C) x SU(6)(L) x SU(2)(R) models, and SU(4)(C) x SU(2)(L) x SU(6)(R) models were systematically discussed in the context of type IIA orientifolds on T-6 / (Z(2) x Z(2)) with intersecting D6-branes. By using mathematical analysis, some models were excluded and the relationship between the SU(4)(C) x SU(6)(L) x SU(2)(R) models and SU(4)(C) x SU(2)(L) x SU(6)(R) models, related by left and right gauge symmetry exchanging, as well as a variation of type II T-duality, was explored.
Article
Physics, Particles & Fields
Daniele Dorigoni, Michael B. Green, Congkao Wen
Summary: This paper presents a novel expression for an integrated correlator in SU(N) N=4 supersymmetric Yang-Mills theory, applicable to all N and values of the complex Yang-Mills coupling. The correlator can be expressed as an infinite series of non-holomorphic Eisenstein series and rational coefficients, and is invariant under SL(2,Z) Montonen-Olive duality. Furthermore, the large-N expansion of the correlator with fixed tau is a series in powers of N1/2-l with coefficients that are rational sums of Es;tau(tau) over bar, giving an all orders derivation of the conjectured expansion.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Materials Science, Multidisciplinary
Natalia Chepiga, Ian Affleck, Frederic Mila
Summary: This study investigates the properties of a frustrated spin-5/2 chain with next-nearest-neighbor two- and three-site interactions, revealing the nature of the transition into the dimerized phase and the presence of a critical floating phase at intermediate values of the next-nearest-neighbor interaction. The research provides evidence for the nature of the phase transitions and the dimerization process induced by the interactions, with implications discussed for the iron oxide Bi3FeMo2O12.
Article
Materials Science, Multidisciplinary
Hana Vargova, Jozef Strecka, Natalia Tomasovicova
Summary: Exact analytical diagonalization is used to study the bipartite entanglement of the antiferromagnetic mixed spin-(1/2, S) Heisenberg dimer. The largest quantum entanglement is found in the antiferromagnetic ground state of MSHD for arbitrary half-odd-integer spins S, regardless of exchange and single-ion anisotropies. In contrast, the degree of quantum entanglement in MSHD with an integer spin S exhibits an increasing tendency with an obvious spin-S driven crossing point when assuming easy-plane single-ion anisotropy. Increasing spin magnitude and easy-plane single-ion anisotropy are significant driving mechanisms for enhancing thermal entanglement in MSHD.
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS
(2022)
Article
Computer Science, Interdisciplinary Applications
Xiao-Yu Liu, Chong Qi
Summary: The program presented in this study can accurately solve the general pairing Hamiltonian for different mass systems. Utilizing the iterative Lanczos algorithm for matrix diagonalization, it can efficiently compute on standard desktop computers.
COMPUTER PHYSICS COMMUNICATIONS
(2021)
Article
Astronomy & Astrophysics
P. V. Buividovich
Summary: This study used exact diagonalization to investigate energy level statistics and out-of-time-order correlators (OTOCs) for the simplest supersymmetric extension of the Hamiltonian. The continuous energy spectrum of the supersymmetric model leads to monotonous growth of OTOCs down to the lowest temperatures, with a sharp boundary separating low-energy states from chaotic high-energy states.
Article
Engineering, Chemical
Xinggang Zhang, Dan Dai
Summary: The rhombic lattice packing model proposed here analyzes and solves the micro causes of the Janssen effect. A recurrence relation with a force transmission matrix Q is obtained, showing the transmission and accumulation of contact force along the lattice vector direction. A method for the diagonalization of Q based on tensor algebra and difference equation is proposed. The results reveal deviations from the Janssen model, except for very small top load or large force reflectivity.
Article
Astronomy & Astrophysics
Tomohiro Fujita, Kyohei Mukaida, Kai Murai, Hiromasa Nakatsuka
Summary: We study the SU(N) gauge fields coupled with the inflaton through the Chern-Simons coupling and propose a general procedure for constructing solutions of the gauge fields. Specifically, we construct stable solutions for N = 3 and 4 and numerically confirm their completeness and attractor properties. This approach is also applicable to other simple Lie groups.
Article
Medicine, General & Internal
Bruno Levy, Nicolas Girerd, Julien Amour, Emmanuel Besnier, Nicolas Nesseler, Julie Helms, Clement Delmas, Romain Sonneville, Catherine Guidon, Bertrand Rozec, Helene David, David Bougon, Oussama Chaouch, Oulehri Walid, Dupont Herve, Nicolas Belin, Lucie Gaide-Chevronnay, Patrick Rossignol, Antoine Kimmoun, Kevin Duarte, Arthur S. Slutsky, Daniel Brodie, Jean-Luc Fellahi, Alexandre Ouattara, Alain Combes
Summary: A randomized clinical trial was conducted to investigate whether early use of moderate hypothermia during venoarterial ECMO treatment improves mortality in patients with cardiogenic shock. The results showed that early application of moderate hypothermia for 24 hours did not significantly increase survival compared with normothermia.
JAMA-JOURNAL OF THE AMERICAN MEDICAL ASSOCIATION
(2022)
Article
Anesthesiology
Nicolas Nesseler, Guillaume Fadel, Alexandre Mansour, Marylou Para, Pierre-Emmanuel Falcoz, Nicolas Mongardon, Alizee Porto, Astrid Bertier, Bruno Levy, Cyril Cadoz, Pierre-Gregoire Guinot, Olivier Fouquet, Jean-Luc Fellahi, Alexandre Ouattara, Julien Guihaire, Vito-Giovanni Ruggieri, Philippe Gaudard, Francois Labaste, Thomas Clavier, Kais Brini, Nicolas Allou, Corentin Lacroix, Juliette Chommeloux, Guillaume Lebreton, Michael A. Matthay, Sophie Provenchere, Erwan Flecher, Andre Vincentelli
Summary: This study reported the characteristics, management, and outcomes of COVID-19 patients receiving extracorporeal membrane oxygenation in France. The in-hospital mortality rate was higher than previous reports, but nearly half of the patients survived. Factors associated with in-hospital mortality included the use of neuromuscular blockade, duration of ventilation, age, and total bilirubin levels at cannulation.
Article
Physics, Multidisciplinary
Olivier Gauthe, Frederic Mila
Summary: Using an SU(2) invariant finite-temperature tensor network algorithm, strong numerical evidence supports an Ising transition in the collinear phase of the spin-1/2 J(1)-J(2) Heisenberg model on the square lattice. The critical temperature reaches a maximal value at specific J(2)/J(1) ratios, and is suppressed as the system approaches the zero-temperature boundary of the collinear phase. Enforcing SU(2) symmetry is crucial in avoiding finite-temperature symmetry breaking and opens new perspectives in studying the thermal properties of quantum Heisenberg antiferromagnets.
PHYSICAL REVIEW LETTERS
(2022)
Article
Multidisciplinary Sciences
Zhenzhong Shi, Sachith Dissanayake, Philippe Corboz, William Steinhardt, David Graf, D. M. Silevitch, Hanna A. Dabkowska, T. F. Rosenbaum, Frederic Mila, Sara Haravifard
Summary: Researchers have discovered multiple magnetic supersolid phases and a magnetization plateau in the 2-dimensional layered oxide material SrCu2(BO3)(2) under extreme conditions of high pressure, high magnetic field, and low temperature. Calculations have revealed a 10 x 2 supersolid and a 1/5 plateau, which are descendants of the intermediate phase in SrCu2(BO3)(2).
NATURE COMMUNICATIONS
(2022)
Article
Infectious Diseases
Guillaume Beraud, Sarah Tubiana, Marie-Line Erpelding, Vincent Le Moing, Catherine Chirouze, Isabelle Gorenne, Pauline Manchon, Pierre Tattevin, Veronique Vernet, Emmanuelle Varon, Bruno Hoen, Xavier Duval
Summary: The study described patients with coexisting infective endocarditis and bacterial meningitis, finding that the main presentation was meningitis, with most common pathogens being Streptococcus pneumoniae and Staphylococcus aureus. The results of this study are important for the identification and treatment of patients with dual infections.
INFECTIOUS DISEASES AND THERAPY
(2022)
Article
Critical Care Medicine
Alexandre Mansour, Erwan Flecher, Matthieu Schmidt, Bertrand Rozec, Isabelle Gouin-Thibault, Maxime Esvan, Claire Fougerou, Bruno Levy, Alizee Porto, James T. Ross, Marylou Para, Sabrina Manganiello, Guillaume Lebreton, Andre Vincentelli, Nicolas Nesseler
Summary: This study described the incidence and risk factors of bleeding and thrombotic events in COVID-19 patients receiving ECMO, and evaluated their impact on in-hospital mortality. The results showed that bleeding events were associated with mortality, especially intracranial hemorrhage with the highest risk of death, while thrombotic events were less frequent and not associated with mortality. The length of ECMO support was a risk factor for both bleeding and thrombosis.
INTENSIVE CARE MEDICINE
(2022)
Article
Multidisciplinary Sciences
Jian-Rui Soh, Alessandro Bombardi, Frederic Mila, Marein C. Rahn, Dharmalingam Prabhakaran, Sonia Francoual, Henrik M. Ronow, Andrew T. Boothroyd
Summary: Resonant elastic X-Ray scattering on EuIn2As2 reveals that the magnetic order in this material satisfies the symmetry requirements for it to be an axion insulator. This finding is significant and may contribute to a better understanding of the physical properties of magnetic topological insulators.
NATURE COMMUNICATIONS
(2023)
Article
Materials Science, Multidisciplinary
Loic Herviou, Frederic Mila
Summary: Motivated by the unexpected observation of a quantized 5/2 thermal conductance, we have expanded the effective Hamiltonian of the 5/2-quantized Hall state to third order in the parameter controlling the Landau-level mixing. Exact diagonalizations of this Hamiltonian show that the difference between Pfaffian and anti-Pfaffian states disappears at around K = 0.4, suggesting a closer energy proximity at smaller magnetic field. Furthermore, the finite-size spectrum exhibits characteristics of a quantum phase transition, indicating the possibility of a phase with emergent particle-hole symmetry to explain the observed thermal conductance.
Article
Materials Science, Multidisciplinary
Natalia Chepiga, Frederic Mila
Summary: We demonstrate in this study that incorporating pairing and repulsion into the description of one-dimensional spinless fermions, as in the domain wall theory of commensurate melting or the interacting Kitaev chain, results in a line of critical points in the eight-vertex universality class for strong repulsion. These critical points terminate the floating phases and exhibit emergent U (1) symmetry. Through extensive density matrix renormalization group (DMRG) simulations of the entire phase diagram, it is confirmed that the variation of the critical exponents along the line, derived from Baxter's exact solution of the XYZ chain at J(x) = -J(z), is fully supported. The qualitative features of the phase diagram are found to be independent of the specific form of the interactions.
Article
Materials Science, Multidisciplinary
Samuel Nyckees, Frederic Mila
Summary: This study investigates the nature of phase transitions in the hard-square model using the corner-transfer matrix renormalization group. The study confirms the unique transition out of the period-3 phase and identifies two additional phase transitions not previously reported. The study also establishes a similarity between the phase diagram of the hard-square model and the 1D quantum version of the model.
Article
Materials Science, Multidisciplinary
Lukas Weber, Antoine Yves Dimitri Fache, Frederic Mila, Stefan Wessel
Summary: In this study, we examine the ground-state phase diagram and thermal phase transitions of a plaquettized fully frustrated bilayer spin-1/2 Heisenberg model. We find a first-order quantum phase transition line separating two competing quantum-disordered ground states, which have dominant singlet formations on interlayer dimers and plaquettes, respectively. At finite temperatures, this line extends to form a wall of first-order thermal transitions, terminating in a line of thermal critical points. A perturbative approach reveals a quadratic suppression of the critical temperature scale in the strongly plaquettized region. Based on free-energy arguments, we obtain the full phase boundary of the low-temperature dimer-singlet regime, which agrees well with quantum Monte Carlo data.
Article
Cardiac & Cardiovascular Systems
Seraina A. Dual, Constance Verdonk, Myriam Amsallem, Jonathan Pham, Courtney Obasohan, Patrick Nataf, Doff B. McElhinney, Alisa Arunamata, Tatiana Kuznetsova, Roham Zamanian, Jeffrey A. Feinstein, Alison Marsden, Francois Haddad
Summary: Doppler echocardiography is central in evaluating pulmonary hypertension. A study using cubic polynomial interpolation of TR waveforms found strong correlation between third derivative interpolation and RVSP estimates in patients with PAH and advanced lung disease, suggesting potential for improved SPAP assessment.
PULMONARY CIRCULATION
(2022)
Article
Materials Science, Multidisciplinary
Natalia Chepiga, Ian Affleck, Frederic Mila
Summary: This study investigates the properties of a frustrated spin-5/2 chain with next-nearest-neighbor two- and three-site interactions, revealing the nature of the transition into the dimerized phase and the presence of a critical floating phase at intermediate values of the next-nearest-neighbor interaction. The research provides evidence for the nature of the phase transitions and the dimerization process induced by the interactions, with implications discussed for the iron oxide Bi3FeMo2O12.
Article
Materials Science, Multidisciplinary
Mithilesh Nayak, Frederic Mila
Summary: Motivated by the lack of direct evidence, this study investigates the temperature dependence of the dynamical spin structure factor in Heisenberg ferromagnetic spin chains using the time-dependent thermal density matrix renormalization group algorithm. The results show that for spin 1/2, the bound state appears as a well-defined excitation within a specific temperature range, suggesting the possibility of detecting it with inelastic neutron scattering. However, for spin 1, the situation is more complex due to the competition between the bound state and the antibound state.
Article
Physics, Multidisciplinary
Samuel Nyckees, Frederic Mila
Summary: In this study, we investigated the classical chiral Ashkin-Teller model on a square lattice using the corner transfer matrix renormalization group algorithm. We found that the melting of the period-4 phase depends on the coefficient of the four-spin term. The system exhibits different commensurate-incommensurate transitions and a critical floating phase depending on the model parameters.
PHYSICAL REVIEW RESEARCH
(2022)
