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We extend the numerical renormalization-group method to treat Bose-Fermi Kondo models (BFKMs) describing a local moment coupled both to a conduction band and to a dissipative bosonic bath representing, e.g., lattice or spin collective…

Strongly Correlated Electrons · Physics 2007-05-23 Matthew T. Glossop , Kevin Ingersent

We extend the numerical renormalization-group method to Bose-Fermi Kondo models (BFKMs), describing a local moment coupled to a conduction band and a dissipative bosonic bath. We apply the method to the Ising-symmetry BFKM with a bosonic…

Strongly Correlated Electrons · Physics 2016-08-31 Matthew T. Glossop , Kevin Ingersent

Recent studies of the global phase diagram of quantum-critical heavy-fermion metals prompt consideration of the interplay between the Kondo interactions and quantum fluctuations of the local moments alone. Toward this goal, we study a…

Strongly Correlated Electrons · Physics 2013-07-08 Emilian Marius Nica , Kevin Ingersent , Jian-Xin Zhu , Qimiao Si

We study a spinless level that hybridizes with a fermionic band and is also coupled via its charge to a dissipative bosonic bath. We consider the general case of a power-law hybridization function $\Gamma(\w)\propto |\w|^r$ with $r\ge 0$,…

Strongly Correlated Electrons · Physics 2008-01-17 Chung-Hou Chung , Matthew T. Glossop , Lars Fritz , Marijana Kirćan , Kevin Ingersent , Matthias Vojta

We propose a general extended coherent state approach to the qubit (or fermion) and multi-mode boson coupling systems. The application to the spin-boson model with the discretization of a bosonic bath with arbitrary continuous spectral…

Quantum Gases · Physics 2015-05-14 Yu-Yu Zhang , Qing-Hu Chen , Ke-Lin Wang

We study the elliptic spin-1/2 Kondo model (spin-1/2 fermions in one dimension with fully anisotropic contact interactions with a magnetic impurity) in the light of mappings to bosonic systems using the fermion-boson correspondence and…

Strongly Correlated Electrons · Physics 2015-05-27 Sol H. Jacobsen , P. D. Jarvis

We propose a multi-band Fermi-Bose Hubbard model with on-site fermion-boson conversion and general filling factor in three dimensions. Such a Hamiltonian models an atomic Fermi gas trapped in a lattice potential and subject to a Feshbach…

Other Condensed Matter · Physics 2009-11-11 L. D. Carr , M. J. Holland

Quantum dissipation induces a critical destruction of a Kondo screened state, which is of interest in the contexts of quantum critical heavy fermion metals and magnetic nanostructures. The sub-ohmic Bose-Fermi Kondo model provides a setting…

Strongly Correlated Electrons · Physics 2008-02-04 Jianhui Dai , Qimiao Si , C. J. Bolech

In quantum critical heavy fermion systems, local moments are coupled to both collective spin fluctuations and conduction electrons. As such, the Bose-Fermi Kondo model, describing the coupling of a local moment to both a bosonic and a…

Strongly Correlated Electrons · Physics 2019-08-02 Ang Cai , Qimiao Si

In this lecture, we review the experimental situation of heavy Fermions with emphasis on the existence of a quantum phase transition (QPT) and related non-Fermi liquid (NFL) effects. We overview the Kondo lattice model (KLM) which is…

Strongly Correlated Electrons · Physics 2009-09-25 Mireille Lavagna , Catherine Pepin

Quantum criticality that goes beyond the Landau framework of order-parameter fluctuations is playing a central role in elucidating the behavior of strange metals. A prominent case appears in Kondo lattice systems, which have been…

Strongly Correlated Electrons · Physics 2022-07-19 Haoyu Hu , Qimiao Si

We review recent work on continuous quantum phase transitions in impurity models, both with fermionic and bosonic baths - these transitions are interesting realizations of boundary critical phenomena at zero temperature. The models with…

Statistical Mechanics · Physics 2015-06-24 Matthias Vojta

Using numerical techniques, we study the miscible-immiscible quantum phase transition in a linearly coupled binary Bose-Hubbard model Hamiltonian that can describe low-energy properties of a two-component Bose-Einstein condensate in optical…

Quantum Gases · Physics 2015-06-19 Fei Zhan , Jacopo Sabbatini , Matthew J. Davis , Ian P. McCulloch

Single-electron transistors attached to ferromagnetic leads can undergo a continuous quantum phase transition as their gate voltage is tuned. The corresponding quantum critical point separates a Fermi liquid phase from a non-Fermi liquid…

Strongly Correlated Electrons · Physics 2009-11-13 Stefan Kirchner , Qimiao Si

We study the competition between Kondo physics and dissipation within an Anderson model of a magnetic impurity level that hybridizes with a metallic host and is also coupled, via the impurity charge, to the displacement of a bosonic bath…

Strongly Correlated Electrons · Physics 2015-05-13 Mengxing Cheng , Matthew T. Glossop , Kevin Ingersent

We address the phenomenon of critical Kondo destruction in pseudogap Bose-Fermi Anderson and Kondo quantum impurity models. These models describe a localized level coupled both to a fermionic bath having a density of states that vanishes…

Strongly Correlated Electrons · Physics 2013-12-31 J. H. Pixley , Stefan Kirchner , Kevin Ingersent , Qimiao Si

We report nonperturbative results for the interacting quantum-critical behavior in a Bose-Fermi Kondo model describing a spin-1/2 coupled both to a fermionic band with a pseudogap density of states and to a dissipative bosonic bath. The…

Strongly Correlated Electrons · Physics 2009-11-13 M. T. Glossop , N. Khoshkhou , K. Ingersent

The quantum phase transition from a spin-Peierls phase with a small Fermi surface to a paramagnetic Luttinger-liquid phase with a large Fermi surface is studied in the framework of a one-dimensional Kondo-Heisenberg model that consists of…

Strongly Correlated Electrons · Physics 2015-05-27 Eitan Eidelstein , S. Moukouri , Avraham Schiller

We study the relationship between one-dimensional fermion gas-impurity models and quantum dissipative systems, via the method of constructive bosonisation and unitary transformation. Starting from an anisotropic Coqblin-Schrieffer model, a…

Quantum Physics · Physics 2010-06-01 Sol H. Jacobsen , P. D. Jarvis

We present a new supersymmetric approach to the Kondo lattice model in order to describe simultaneously the quasiparticle excitations and the low-energy magnetic fluctuations in heavy-Fermion systems. This approach mixes the fermionic and…

Strongly Correlated Electrons · Physics 2015-06-25 C. Pepin , M. Lavagna
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