Breakup of the Fermi Surface Near the Mott Transition in Low-Dimensional Systems

Berthod, Christophe; Giamarchi, Thierry; Biermann, Silke; Georges, Antoine

doi:10.1103/physrevlett.97.136401

Cited by 68 publications

(73 citation statements)

References 20 publications

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“…This is related to the occurrence of Fermi arcs and lines of zeros of the Greens function 80 as noticed in Ref. 43,44,81. This phenomena was first noticed microscopic studies of coupled ladders 85,86 and related proposals also appeared in recent phenomenological models of high Tc's [82][83][84] .…”

Section: Cluster One Particle Greens Function Cluster Self Enermentioning

confidence: 71%

Strongly correlated superconductivity: A plaquette dynamical mean-field theory study

2007

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We use cluster Dynamical Mean Field Theory to study the simplest models of correlated electrons, the Hubbard model and the t-J model. We use a plaquette embedded in a medium as a reference frame to compute and interpret the physical properties of these models. We study various observables such as electronic lifetimes, one electron spectra, optical conductivities, superconducting stiffness, and the spin response in both the normal and the superconducting state in terms of correlation functions of the embedded cluster. We find that the shortest electron lifetime occurs near optimal doping where the superconducting critical temperature is maximal. A second critical doping connected to the change of topology of the Fermi surface is also identified. The mean field theory provides a simple physical picture of three doping regimes, the underdoped, the overdoped and the optimally doped regime in terms of the physics of the quantum plaquette impurity model. We compare the plaquette Dynamical Mean Field Theory results with earlier resonating valence bond mean field theories, noting the improved description of the momentum space anisotropy of the normal state properties and the doping dependence of the coefficient of the linear temperature dependence of the superfluid density in the superconducting state.

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Section: Cluster One Particle Greens Function Cluster Self Enermentioning

confidence: 71%

Strongly correlated superconductivity: A plaquette dynamical mean-field theory study

2007

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“…Recently the question whether a Mott insulator and a band insulator are fundamentally different has been raised 1,2,3,4,5,6,7,8 . To study this question, we consider the simplest model which allows, by tuning one parameter, to obtain a Mott insulator as well as a band insulator phase.…”

Section: Introductionmentioning

confidence: 99%

From Mott insulator to band insulator: A dynamical mean-field theory study

2006

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The question if a Mott insulator and a band insulator are fundamentally different has been the matter of intensive research recently. Here we consider a simple model which allows by tuning one parameter to go continously from a Mott insulator to band insulator. The model consists of two Hubbard systems connected by single particle hopping. The Hubbard Hamiltonian is solved by the Dynamical Mean-Field theory using Quantum Monte Carlo to solve the resulting the quantum impurity problem. The quasiparticle spectral function is calculated. Here we focus on the optical conductivity and in particular on the Drude weight which can be experimentally measured. From our calculation we conclude that there is a continous crossover from the band insulator to the Mott insulator phase at finite temperature.

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“…On the theory side it has been established that the system can be considered as 1D two leg ladder [18][19][20] very close to the (quarter-filled) Mott transition [21,22]. Hence, from a very fundamental perspective, we face not only the problem of dimensional cross-over [23][24][25] but also a weakly doped (quarter-filled) Mott-insulator. This makes the problem even more challenging, but also much more exciting, since the many-body excitations (and spectral gaps) in the vicinity of the Mott state are currently hotly debated issues [26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Multi-orbital physics in lithium-molybdenum purple-bronze: going beyond paradigm

Chudziński¹

2017

Eur. Phys. J. B

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Abstract.We investigate the role of inter-orbital fluctuations in the low energy physics of a quasi-1D material -lithium molybdenum purple bronze (LMO). It is an exceptional material that may provide us a long sought realization of a Tomonaga-Luttinger liquid (TLL) physics, but its behaviour at temperatures of the order of T * ≈ 30 K remains puzzling despite numerous efforts. Here we make a conjecture that the physics around T * is dominated by multi-orbital excitations. Their properties can be captured using an excitonic picture. Using this relatively simple model we compute fermionic Green's function in the presence of excitons. We find that the spectral function is broadened with a Gaussian and its temperature dependence acquires an extra T 1 factor. Both effects are in perfect agreement with experimental findings. We also compute the resistivity for temperatures above and below critical temperature T0. We explain an upturn of the resistivity at 28 K and interpret the suppression of this extra component of resistivity when a magnetic field is applied along the conducting axis. Furthermore, in the framework of our model, we qualitatively discuss and consistently explain other experimentally detected peculiarities of purple bronze: the breaking of Wiedmann-Franz law and the magnetochromatic behaviour. Our model consistently explains all these.

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Breakup of the Fermi Surface Near the Mott Transition in Low-Dimensional Systems

Cited by 68 publications

References 20 publications

Strongly correlated superconductivity: A plaquette dynamical mean-field theory study

Strongly correlated superconductivity: A plaquette dynamical mean-field theory study

From Mott insulator to band insulator: A dynamical mean-field theory study

Multi-orbital physics in lithium-molybdenum purple-bronze: going beyond paradigm

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