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We studied the diluted magnetic semiconductor by the self-consistent Green's function approach, which treats the spin-wave kinematics appropriately at finite temperatures. The critical temperature can be obtained by a simple formula in a…

Materials Science · Physics 2009-11-10 Shih-Jye Sun , Hsiu-Hau Lin

We implement an efficient numerical method to calculate response functions of complex impurities based on the Density Matrix Renormalization Group (DMRG) and use it as the impurity-solver of the Dynamical Mean Field Theory (DMFT). This…

Strongly Correlated Electrons · Physics 2017-11-27 Y. Núñez Fernández , K. Hallberg

We develop a theory of finite-temperature momentum-resolved tunneling spectroscopy (MRTS) for disordered, interacting two-dimensional topological-insulator edges. The MRTS complements conventional electrical transport measurement in…

Strongly Correlated Electrons · Physics 2020-08-28 Tzu-Chi Hsieh , Yang-Zhi Chou , Leo Radzihovsky

We report on a quantum-classical simulation of the single-band Hubbard model using two-site dynamical mean-field theory (DMFT). Our approach uses IBM's superconducting qubit chip to compute the zero-temperature impurity Green's function in…

Quantum Physics · Physics 2021-11-11 Trevor Keen , Thomas Maier , Steven Johnston , Pavel Lougovski

We generalized the recently introduced new impurity solver based on the diagrammatic expansion around the atomic limit and Quantum Monte Carlo summation of the diagrams. We present generalization to the cluster of impurities, which is at…

Strongly Correlated Electrons · Physics 2009-11-11 Kristjan Haule

We present a tree tensor-network impurity solver suited for general multiorbital systems. The network is constructed to efficiently capture the entanglement structure and symmetry of an impurity problem. The solver works directly on the…

Strongly Correlated Electrons · Physics 2021-09-13 X. Cao , Y. Lu , P. Hansmann , M. W. Haverkort

We provide a mathematical analysis of the Dynamical Mean-Field Theory, a celebrated representative of a class of approximations in quantum mechanics known as embedding methods. We start by a pedagogical and self-contained mathematical…

Mathematical Physics · Physics 2024-06-06 Éric Cancès , Alfred Kirsch , Solal Perrin-Roussel

The density matrix renormalization group is one of the most powerful numerical methods for computing ground-state properties of two-dimensional (2D) quantum lattice systems. Here we show its finite-temperature extensions are also viable for…

Strongly Correlated Electrons · Physics 2017-08-24 Benedikt Bruognolo , Zhenyue Zhu , Steven R. White , E. Miles Stoudenmire

We present an efficient method to solve the impurity Hamiltonians involved in Dynamical Mean-Field Theory at low but finite temperature, based on the extension of the Lanczos algorithm from ground state properties alone to excited states.…

Strongly Correlated Electrons · Physics 2007-12-18 M. Capone , L. de' Medici , A. Georges

For reliable and efficient inclusion of electron-electron correlation effects in nanosystems we propose a combined density-functional-theory/nonhomogeneous dynamical-mean-field-theory (DFT + DMFT) approach which employs an approximate…

Strongly Correlated Electrons · Physics 2013-11-14 Alamgir Kabir , Volodymyr Turkowski , Talat S. Rahman

Quantitative prediction of electronic properties in correlated materials requires simulations without empirical truncations and parameters. We present a method to achieve this goal through a new ab initio formulation of dynamical mean-field…

Strongly Correlated Electrons · Physics 2021-04-08 Tianyu Zhu , Garnet Kin-Lic Chan

We investigate analytically the low temperature behavior of the specific heat $C_v(T)$ for a large class of quantum disordered models within Mean Field approximation. This includes the vibrational modes of a lattice pinned by impurity…

Disordered Systems and Neural Networks · Physics 2009-11-10 Gregory Schehr

By numerically exact calculations of spin-1/2 antiferromagnetic Heisenberg models on small clusters, we demonstrate that quantum entanglement between subsystems $A$ and $B$ in a pure ground state of a whole system $A+B$ can induce thermal…

Quantum Physics · Physics 2020-10-20 Kazuhiro Seki , Seiji Yunoki

The developments of quantum computing algorithms and experiments for atomic scale simulations have largely focused on quantum chemistry for molecules, while their application in condensed matter systems is scarcely explored. Here we present…

A novel approach to electronic correlations and magnetism of crystals based on realistic electronic structure calculations is reviewed. In its simplest form it is a combination of the ``local density approximation'' (LDA) and the dynamical…

Strongly Correlated Electrons · Physics 2007-05-23 A. I. Lichtenstein , M. I. Katsnelson , G. Kotliar

We introduce a versatile method to compute electronic steady state properties of strongly correlated extended quantum systems out of equilibrium. The approach is based on dynamical mean-field theory (DMFT), in which the original system is…

Strongly Correlated Electrons · Physics 2013-03-05 Enrico Arrigoni , Michael Knap , Wolfgang von der Linden

Finite-temperature properties of the frustrated Hubbard model are theoretically examined by using the recently proposed thermal pure quantum state, which is an unbiased numerical method for finite-temperature calculations. By performing…

Strongly Correlated Electrons · Physics 2018-01-30 Takahiro Misawa , Youhei Yamaji

We propose a way to construct a thermal pure quantum matrix product state (TPQ-MPS) that can simulate finite temperature quantum many-body systems with a minimal numerical cost comparable to the matrix product algorithm for the ground…

Strongly Correlated Electrons · Physics 2021-06-02 Atsushi Iwaki , Akira Shimizu , Chisa Hotta

We present a real-frequency third-order strong-coupling impurity solver which employs quantics tensor cross interpolation (QTCI) for an efficient evaluation of the diagram weights. Applying the method to dynamical mean-field theory (DMFT)…

Strongly Correlated Electrons · Physics 2026-02-10 Lei Geng , Aaram J. Kim , Philipp Werner

Aimed at a more realistic classical description of natural quantum systems, we present a two-dimensional tensor network algorithm to study finite temperature properties of frustrated model quantum systems and real quantum materials. For…

Strongly Correlated Electrons · Physics 2024-06-12 Philipp Schmoll , Christian Balz , Bella Lake , Jens Eisert , Augustine Kshetrimayum