Quantum Transport within a Background Medium: Fluctuations versus Correlations

We investigate transport within some background medium by means of an effective lattice model with a novel form of fermion-boson coupling. The bosons correspond to local fluctuations of the background. The model captures the principal transport mechanisms that apply to a great variety of physical systems, and can be applied, e.g. in the one-particle sector, to describe the motion of lattice and spin polarons, or the dynamics of a particle coupled to a bath. Performing large-scale numerical simulations on the HLRB-II at LRZ Munich, based on highly efficient variational Lanczos and Chebyshev moment expansion techniques, we analyse the newly proposed model by exactly calculating the single quasiparticle effective mass, ground-state dispersion and spectral function, as well as the Drude weight and the optical conductivity for an infinite one-dimensional system. Moreover, for the half-filled band case, we establish a metal-insulator quantum phase transition by analysing the particle-particle/boson correlations and photoemission spectra.

[1]  R. Silver,et al.  Calculation of densities of states and spectral functions by Chebyshev recursion and maximum entropy , 1997, cond-mat/9703229.

[2]  J. Bonca,et al.  The Holstein Polaron , 1998, cond-mat/9812252.

[3]  H. Fehske,et al.  Boson-controlled quantum transport. , 2006, Physical review letters.

[4]  Röder,et al.  Polarons and bipolarons in strongly interacting electron-phonon systems. , 1996, Physical review. B, Condensed matter.

[5]  Holger Fehske,et al.  Exact Diagonalization Techniques , 2008 .

[6]  G. Wellein,et al.  Self-trapping problem of electrons or excitons in one dimension , 1998 .

[7]  Fluctuating bond model of high temperature superconductivity in cuprates , 2006, cond-mat/0606223.

[8]  G. Mahan.  Many-particle physics , 1981 .

[9]  Trugman.  Interaction of holes in a Hubbard antiferromagnet and high-temperature superconductivity. , 1988, Physical review. B, Condensed matter.

[10]  A. R. Bishop,et al.  Quantum lattice dynamical effects on single-particle excitations in one-dimensional Mott and Peierls insulators , 2003, cond-mat/0312426.

[11]  G. Wellein,et al.  The kernel polynomial method , 2005, cond-mat/0504627.

[12]  J. Schrieffer,et al.  Spin-bag mechanism of high-temperature superconductivity. , 1988, Physical review letters.

[13]  D. Edwards.  A quantum phase transition in a model with boson-controlled hopping , 2006 .

[14]  Lee,et al.  Motion of a single hole in a quantum antiferromagnet. , 1989, Physical review. B, Condensed matter.

[15]  H. Fehske,et al.  Numerical Solution of the Holstein Polaron Problem , 2006, cond-mat/0611020.

[16]  Alan J. Heeger,et al.  Solitons in polyacetylene , 1979 .

[17]  W. Brinkman,et al.  Single-Particle Excitations in Magnetic Insulators , 1970 .

[18]  Zhang,et al.  Effective Hamiltonian for the superconducting Cu oxides. , 1988, Physical review. B, Condensed matter.

[19]  E. Dagotto.  Correlated electrons in high-temperature superconductors , 1993, cond-mat/9311013.

[20]  A R Bishop,et al.  Effects of intrinsic base-pair fluctuations on charge transport in DNA. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  E. Davidson.  The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices , 1975 .

[22]  T. Holstein,et al.  Studies of polaron motion: Part II. The “small” polaron , 1959 .

[23]  Gerhard Wellein,et al.  Quantum lattice effects in mixed-valence transition-metal chain complexes , 2001 .

[24]  R. Schneider,et al.  Introduction to Molecular Dynamics , 2019, Molecular Dynamics Simulation of Nanocomposites Using BIOVIA Materials Studio, Lammps and Gromacs.

[25]  Spectral signatures of the Luttinger liquid to the charge-density-wave transition , 2006, cond-mat/0601673.

[26]  R. Peierls,et al.  Quantum theory of solids , 1956 .

[27]  A. Alexandrov.  Polarons in advanced materials , 2007 .

[28]  J. Cullum,et al.  Lanczos algorithms for large symmetric eigenvalue computations , 1985 .

[29]  G. Grüner,et al.  Density Waves In Solids , 1994 .

[30]  Fluctuation-induced hopping and spin-polaron transport , 2001, cond-mat/0112385.