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A wide range of analytical and numerical methods are available to study quantum spin systems. However, the complexity of spin correlations and interactions limits their applicability to specific temperature ranges. The analytical approach…

Strongly Correlated Electrons · Physics 2024-01-15 Daiki Sasamoto , Takao Morinari

In order to quantify quantum entanglement in two impurity Kondo systems, we calculate the concurrence, negativity, and von Neumann entropy. The entanglement of the two Kondo impurities is shown to be determined by two competing many-body…

Quantum Physics · Physics 2009-11-11 Sam Young Cho , Ross H. McKenzie

In this Letter we investigate the properties of a quantum impurity model in the presence of additional many-body interactions between mobile carriers. The fundamental question which is addressed here is how the interactions in the charge…

Mesoscale and Nanoscale Physics · Physics 2022-03-23 A. V. Parafilo , T. K. T. Nguyen , M. N. Kiselev

Based on the Green's function (GF) equation-of-motion formalism, we develop a method to expand the double time Green's function into Taylor series of the parameter $\lambda$ in the Hamiltonian $H=H_0 + \lambda H_1$. Here $H_0$ is the…

Strongly Correlated Electrons · Physics 2015-11-04 Ning-Hua Tong

We simulate the nonequilibrium dynamics of two generic many-body quantum impurity models by employing the recently developed iterative influence-functional path integral method [Phys. Rev. B {\bf 82}, 205323 (2010)]. This general approach…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Dvira Segal , Andrew J. Millis , David R. Reichman

Symmetry-breaking perturbations destabilize the critical points of the two-channel and two-impurity Kondo models, thereby leading to a crossover from non-Fermi liquid behavior to standard Fermi liquid physics. Here we use an analogy between…

Strongly Correlated Electrons · Physics 2011-09-21 Eran Sela , Andrew K. Mitchell , Lars Fritz

We formulate the theory of an extremely correlated electron liquid, generalizing the standard Fermi liquid. This quantum liquid has specific signatures in various physical properties, such as the Fermi surface volume and the narrowing of…

Strongly Correlated Electrons · Physics 2010-01-22 B Sriram Shastry

The popular, stable, robust and computationally inexpensive cubic spline interpolation algorithm is adopted and used for finite temperature Green's function calculations of realistic systems. We demonstrate that with appropriate…

Chemical Physics · Physics 2016-11-15 Alexei A. Kananenka , Alicia Rae Welden , Tran Nguyen Lan , Emanuel Gull , Dominika Zgid

We develop a continuous-time quantum Monte Carlo (CTQMC) method for quantum impurities coupled to interacting quantum wires described by a Tomonaga-Luttinger liquid. The method is negative-sign free for any values of the Tomonaga-Luttinger…

Strongly Correlated Electrons · Physics 2015-06-19 K. Hattori , A. Rosch

We study solutions to the Lippmann-Schwinger equation in systems where a slow subsystem is coupled to a fast subsystem via an impurity. Such situations appear when a high-frequency Floquet-driven impurity is introduced into a low-energy…

Statistical Mechanics · Physics 2024-01-10 Friedrich Hübner

An Anderson model for a magnetic impurity in a two-dimensional electron gas with bulk Rashba spin-orbit interaction is solved using the numerical renormalization group under two different experimental scenarios. For a fixed Fermi energy,…

Strongly Correlated Electrons · Physics 2016-03-02 Arturo Wong , Sergio E. Ulloa , Nancy Sandler , Kevin Ingersent

Using bosonization and path integral methods, we study general low temperature behavior of non-magnetic and magnetic impurity scattering in Tomonaga-Luttinger liquid, and calculate electron Green function for a general backward scattering…

Condensed Matter · Physics 2009-10-31 Yu-Liang Liu

An exactly solvable model of a quantum spin interacting with a spin environment is considered. The interaction is chosen to be such that the state of the environment is conserved. The reduced density matrix of the spin is calculated for…

Quantum Physics · Physics 2007-05-23 Dima Mozyrsky

Thermalization of a system when interacting with a thermal bath is an interesting problem. If a system eventually reaches a thermal state in the long time limit, it's expected that its density matrix would resemble the mean-force Gibbs…

Quantum Physics · Physics 2024-01-31 Sakil Khan , Lokendra Singh Rathore , Sachin Jain

We propose an improved fast multi-orbital impurity solver for the dynamical mean field theory (DMFT) based on equations of motion (EOM) of Green's functions and decoupling scheme. In this scheme the inter-orbital Coulomb interactions are…

Strongly Correlated Electrons · Physics 2015-05-30 Qingguo Feng , P. M. Oppeneer

Quantum impurity (QI) spins offer promising information processing and sensing applications by harnessing up to room-temperature quantum coherence. Challenged by the requirement of designing local coherent drives and improving sensitivity…

Mesoscale and Nanoscale Physics · Physics 2022-03-09 Avinash Rustagi , Shivam Kajale , Pramey Upadhyaya

Solving the single-impurity Anderson model (SIAM) is a basic problem of solid state physics. The SIAM model is very important, at present it is also used for systems with quantum impurities, e.g. semiconductor quantum dots and molecular…

Strongly Correlated Electrons · Physics 2023-07-19 Grzegorz Górski , Jerzy Mizia , Krzysztof Kucab

We study the problem of a boundary magnetic impurity coupled with the solvable $t-J$ chains. Our model provides a good start point to understand the Kondo problem in a Luttinger liquid as well as in a strongly correlated host. The Kondo…

Strongly Correlated Electrons · Physics 2007-05-23 Jianhui Dai , Yupeng Wang

We study integrable models for electrons in metals when the single particle spectrum is discrete. The electron-electron interactions are BCS-like pairing, Coulomb repulsion, and spin exchange coupling. These couplings are, in general,…

Superconductivity · Physics 2011-07-19 Luigi Amico , Antonio Di Lorenzo , Andreas Osterloh

Using the cumulant Green's functions method (CGFM), we study the single impurity Anderson model (SIAM). The CGFM starting point is a diagonalization of the SIAM Hamiltonian expressed in a semi-chain form, containing N sites, viz., a…

Strongly Correlated Electrons · Physics 2024-09-26 T. M. Sobreira , T. O. Puel , M. A. Manya , S. E. Ulloa , G. B. Martins , J. Silva-Valencia , R. N. Lira , M. S. Figueira
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