Article
Optics
Keisuke Totsuka
Summary: We study the ground-state properties of the SU(N) generalization of the Kondo lattice model in one dimension under strong coupling. The two cases, both ferromagnetic and antiferromagnetic Kondo coupling JK, can be realized using alkaline-earth-metal-like cold gases in optical lattices. By carrying out strong-coupling expansion, we identify two insulating phases, one of which is the SU(N) analog of the well-known gapped Kondo singlet phase. We rigorously establish that the ground state is ferromagnetic in the low-density region (for JK < 0) or the high-density region (for JK > 0). These results are explained by generalizing the double-exchange mechanism to SU(N) spins. Possible realizations of Bose-Fermi supersymmetry SU(N|1) in the (generalized) SU(N) Kondo lattice model are also discussed.
Article
Physics, Multidisciplinary
Jordi Pera, Joaquim Casulleras, Jordi Boronat
Summary: We present exact analytic results for the energy of a SU(N) repulsive Fermi gas as a function of the spin-channel occupation at second order in the gas parameter. This is an extension of previous results that now incorporates the degree of polarization of the system. The magnetic properties of the gas can be obtained, free from numerical uncertainties. Estimations for Fermi gases of Yb and Sr with spin 5/2 and 9/2, respectively, are reported.
Article
Multidisciplinary Sciences
Daniele Guerci, Jie Wang, Jiawei Zang, Jennifer Cano, Andrew Millis
Summary: We theoretically investigate the interaction between magnetism and a heavy Fermi liquid in the AB-stacked transition metal dichalcogenide bilayer system MoTe2/WSe2. The interlayer electron transfer leads to a chiral Kondo exchange, resulting in a strong dependence of the Kondo temperature on carrier concentration and anomalous Hall effect due to topological hybridization gap. Our findings provide concrete experimental predictions for ongoing experiments on MoTe2/WSe2 bilayer heterostructures and offer a controlled route to observe a topological selective Mott transition.
Article
Optics
Aaron Merlin Mueller, Miklos Lajko, Florian Schreck, Frederic Mila, Jiri Minar
Summary: The study investigates species-selective cooling of a trapped SU(N) Fermi gas through entropy redistribution during adiabatic loading of an optical lattice, demonstrating improved cooling effects. Optimal performance is achieved when all atomic levels experience the same potential, outside of a specific dimple region. Specific quantitative discussions on achieving state-selective trapping in Sr-87 and Yb-173 using existing experimental techniques are provided.
Article
Materials Science, Multidisciplinary
Daniel J. Schultz, Adarsh S. Patri, Yong Baek Kim
Summary: The study focuses on the quasi-quartet multipolar impurity in the multipolar Kondo problem, revealing that in tetragonal crystal field environments, the local moment can support different orders of multipolar moments and interact with conduction electrons in entangled spin and orbital states. Using renormalization group analysis, the research uncovers emergent quantum ground states characterized by nontrivial fixed points.
Article
Physics, Condensed Matter
Bei Xu, Shoufa Sun, Qiang Gu
Summary: In this study, we investigate the Kondo effect of a spin-3/2 Fermi gas and provide a detailed calculation of the impurity resistance and ground state energy based on the s-d exchange model. We find that the impurity resistance increases logarithmically with decreasing temperature and the ground state energy is influenced by the type of coupling. Our results also suggest that larger spins are more easily screened in the Kondo phase.
PHYSICA B-CONDENSED MATTER
(2022)
Article
Optics
B. Abeln, K. Sponselee, M. Diem, N. Pintul, K. Sengstock, C. Becker
Summary: In this study, interisotope interorbital interactions between atoms in Yb-171 and Yb-173 mixture were characterized. The elastic interaction between Yb-173(e)-Yb-171(g) and Yb-173(g)-Yb-171(e) was found to be weakly attractive, with different two-body decay coefficients. By comparing different spin mixtures, the SU(2)⨂SU(6) symmetry of the elastic interactions was experimentally demonstrated. Additionally, the interorbital spin-exchange interaction in Yb-171 was measured and confirmed to be antiferromagnetic.
Article
Physics, Particles & Fields
C. P. Martin, J. Trampetic, J. You
Summary: In noncommutative SU(N) Yang-Mills theory defined by the theta-exact Seiberg-Witten map, one-loop IR singularities arise from UV/IR mixing, even though there are no ordinary U(1) gauge fields in the theory. This is different from the noncommutative U(N) case, where the two-point part of the effective action involving the ordinary SU(N) fields is not affected by these one-loop IR singularities.
EUROPEAN PHYSICAL JOURNAL C
(2021)
Article
Materials Science, Multidisciplinary
R. Eder, P. Wrobel
Summary: This paper discusses the two-channel Kondo lattice model, in which a single localized spin per unit cell is coupled to two different conduction electron orbitals per unit cell. The calculations are done using the bond fermion formalism. It is found that for a Hamiltonian symmetric under exchange of the conduction channels, there is a spontaneous breaking of this symmetry, with the Kondo singlets being formed predominantly between the localized spin and only one of the two conduction orbitals. In addition to a channel-ferromagnetic phase, a channel-antiferromagnetic phase is also identified where the preferred conduction electron orbital alternates between sublattices. The parameter determining the transition between these phases is the interchannel hybridization.
Article
Astronomy & Astrophysics
P. Ko, Takaaki Nomura, Hiroshi Okada
Summary: We investigated a model of dark sector based on non-Abelian SU(2)(D) gauge symmetry, where the dark gauge symmetry is broken into discrete Z(2) and an SU(2)(D) doublet Dirac fermion becomes Z(2)-odd particles, leading to the stable dark matter candidate. The model's unique signatures at the LHC include dark scalar production followed by decays into dark matter and heavy dark fermion pairs, or pairs of X-i bosons decaying into dark matter pairs or SM fermions.
Article
Optics
Manu Mathur, Atul Rathor
Summary: We construct a model describing the dynamics of SU(N) electric and magnetic fluxes and show the topological properties of its ground states. We also construct excited states of non-Abelian anyons and show their braiding statistics encoded in rotation matrices.
Article
Physics, Multidisciplinary
Ruo Hibino, Tatsuya Yanagisawa, Yoshito Mikami, Hiroyuki Hidaka, Hiroshi Amitsuka, Sergei Zherlitsyn, Joachim Wosnitza, Yu Yamane, Takahiro Onimaru
Summary: We used ultrasound to measure the elastic constants (C11 - C12)/2 and C44 of the non-Kramers system Y0.63Pr0.37Ir2Zn20 (Pr-37% system) in order to investigate the effect of increasing Pr concentration on the single-site quadrupolar Kondo effect. The observed softening of (C11 - C12)/2 in the Pr-37% system upon cooling can be explained by a multipolar susceptibility calculation based on the non-Kramers Γ3 doublet crystalline-electric-field ground state. Additionally, we observed a temperature dependence proportional to T in (C11 - C12)/2 below 0.15 K, which is consistent with the theoretical prediction of the quadrupolar Kondo lattice model.
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
(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
Kazuhiko Tsutsumi, Yoshimichi Teratani, Kaiji Motoyama, Rui Sakano, Akira Oguri
Summary: This study investigates the effects of bias and tunneling asymmetries on the nonlinear current in a quantum dot within the Fermi liquid regime. Through an exact low-energy expansion, it is found that three-body correlation functions play a crucial role in the V3 terms of the current, and their coupling to the nonlinear current depends on the bias and tunneling asymmetries. The number of independent components of the three-body correlation functions increases with the internal degrees of freedom in the quantum dot, resulting in a variety of low-energy transport behaviors.
Article
Physics, Multidisciplinary
N. Lambert, R. Mouland, T. Orchard
Summary: The article discusses non-Lorentzian Lagrangian field theories in 2n - 1 dimensions with an SU(1, n) spacetime symmetry that includes a scaling transformation. These theories can be obtained through conformal compactification of a 2n-dimensional Minkowskian conformal field theory. It covers topics such as symmetry algebra, representations including primary fields, unitarity bounds, examples of free theories in different dimensions, and the reconstruction of the parent 2n-dimensional theory.
FRONTIERS IN PHYSICS
(2022)
Article
Physics, Mathematical
Taro Kimura
LETTERS IN MATHEMATICAL PHYSICS
(2020)
Article
Physics, Particles & Fields
Taro Kimura, Yuji Sugimoto
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Heng-Yu Chen, Taro Kimura, Norton Lee
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Nuclear
Taro Kimura, Jun Nian, Peng Zhao
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
(2020)
Article
Physics, Multidisciplinary
Taro Kimura
Summary: The G-Kondo effect, in which the localized impurity transforms under a generic symmetry group G, was explored. A one-dimensional effective model coupled with the impurity was derived, and thermodynamic properties were studied using the boundary conformal field theory approach. Special focus was placed on impurity entropy at the conformal fixed point, as well as the low temperature behavior of specific heat and susceptibility. The Wilson ratio was also considered based on these results, along with the case of exceptional group symmetry.
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
(2021)
Article
Physics, Multidisciplinary
Taro Kimura, Milosz Panfil, Yuji Sugimoto, Piotr Sulkowski
Summary: We investigate a class of branes in toric strip geometries and find that their partition functions can be reinterpreted as quiver generating series and wave-functions in different polarizations. We determine operations on quivers and SL(2, Z) transformations that correspond to changing positions of these branes. Our results confirm the integrality of BPS multiplicities associated with these branes and reveal how they transform under changes in polarization.
Article
Physics, Mathematical
Taro Kimura, Ali Zahabi
Summary: In this study, the universal edge scaling limit of random partitions with the Schur measure was established. The asymptotic behavior of the wave function, based on a Schrodinger-type differential equation, was explored. It was shown that in the edge scaling limit, the wave function generally approaches the Airy function and its higher-order analogs. Additionally, a higher-order Airy kernel and the Tracy-Widom distribution were constructed from the wave function in the scaling limit, with implications for multicritical phase transitions in large-size matrix models. The limit shape of random partitions was also discussed through semi-classical analysis of the wave function.
LETTERS IN MATHEMATICAL PHYSICS
(2021)
Article
Physics, Particles & Fields
Taro Kimura, Rui-Dong Zhu
Summary: This article extends the correspondence between 2D (or 3D) SO/Sp gauge theories and open XXX (or XXZ) spin chains with diagonal boundary conditions, and also includes the case of linear quiver gauge theories.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
Taro Kimura, Fabrizio Nieri
Summary: By studying 5d supersymmetric gauge theories with unitary groups in the omega background and intersecting defects, we reveal the relationship between instanton and generalized vortex calculus. In a simplified scenario, we identify the dual supergroup theory for intersecting defects as the supergroup version of refined Chern-Simons theory via open/closed duality.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Physics, Multidisciplinary
Taro Kimura
Summary: In this study, linear responses to metric perturbation in two-dimensional topological systems are investigated using the Dirac fermion formalism. A new quantity, the ratio of Hall viscosity to particle density, is introduced, similar to the viscosity to entropy ratio in the AdS/CFT correspondence. This quantity corresponds to the filling fraction in quantum Hall states, and is applicable to discussions in Haldane's zero-field quantum Hall system. Additionally, dissipationless viscosity in the time reversal invariant quantum spin Hall system is also considered, serving as a spin analog of the Hall viscosity.
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
(2021)
Article
Physics, Particles & Fields
Taro Kimura, Ali Zahabi
Summary: This paper studies the perturbative and non-perturbative aspects of generic multi-critical unitary matrix models using the integrable operator formalism, and explores the universal multi-critical phase structure of the model. It also applies the results to concrete examples of supersymmetric indices of gauge theories in the large N limit.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Osama Khlaif, Taro Kimura
Summary: This article studies the root of unity limit of (q, t)-deformed Virasoro matrix models and introduces the Uglov matrix model. The study shows that the associated Virasoro constraints are consistent with the expression obtained from the level-rank duality associated with the parafermion CFT.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Condensed Matter
Xi Wu, Taro Kimura
Summary: We analytically study the boundary conditions of Dirac fermion models on a lattice, focusing on the first and second order topological insulators. By solving these boundary conditions, we obtain the dispersion relations of edge and hinge states. We clarify the constraint on boundary conditions imposed by the symmetry of the Hamiltonian. Furthermore, we demonstrate the edge-hinge analog of the bulk-edge correspondence, showing that the nontrivial topology of the gapped edge state ensures the gaplessness of the hinge state.
JOURNAL OF PHYSICS-CONDENSED MATTER
(2022)
Article
Physics, Particles & Fields
Taro Kimura, Souradeep Purkayastha
Summary: We study generalizations of the Gross-Witten-Wadia unitary matrix model for the special orthogonal and symplectic groups. We show that in the large N limit, the normalized free energy is twice the value for the unitary case, and we demonstrate the universality of this result for an arbitrary number of coupling constants using generalized Cauchy identities.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Taro Kimura, Norton Lee
Summary: In this study, we investigate the surface defect in N = 2* U(N) gauge theory in four dimensions and its connection to quantum Hall states in two dimensions. We demonstrate that the defect partition function can be represented by the Jack polynomial of the variables describing the brane positions by imposing the Higgsing condition and taking the bulk decoupling limit. By further adjusting the adjoint mass parameter, different fractional quantum Hall states, such as Laughlin, Moore-Read, and Read-Rezayi states, can be obtained based on the admissible condition of the Jack polynomial.
