Weakly coupled one-dimensional Mott insulators

Eßler, Fabian H. L.; Tsvelik, A. M.

doi:10.1103/physrevb.65.115117

Cited by 113 publications

(157 citation statements)

References 56 publications

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“…(3.10). They explain the violation of the Luttinger theorem by zeros of the Green's function 54,55,58 ; the connection of these zeros to our work was discussed below Eq. (3.10).…”

Section: A Coupling To Photonsmentioning

confidence: 99%

Effective theory of Fermi pockets in fluctuating antiferromagnets

Sachdev

2010

Phys. Rev. B

157

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We describe fluctuating two-dimensional metallic antiferromagnets by transforming to a rotating reference frame in which the electron spin polarization is measured by its projections along the local antiferromagnetic order. This leads to a gauge-theoretic description of an 'algebraic charge liquid' involving spinless fermions and a spin S = 1/2 complex scalar. We propose a phenomenological effective lattice Hamiltonian which describes the binding of these particles into gauge-neutral, electron-like excitations, and describe its implications for the electron spectral function across the entire Brillouin zone. We discuss connections of our results to photoemission experiments in the pseudogap regime of the cuprate superconductors.1 arXiv:0912.0943v2 [cond-mat.str-el]

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“…(3.10). They explain the violation of the Luttinger theorem by zeros of the Green's function 54,55,58 ; the connection of these zeros to our work was discussed below Eq. (3.10).…”

Section: A Coupling To Photonsmentioning

confidence: 99%

Effective theory of Fermi pockets in fluctuating antiferromagnets

Sachdev

2010

Phys. Rev. B

157

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“…In systems lacking quasiparticles ͑no poles͒, such as insulators, the Landau correspondence between the particle density and quasiparticle excitations breaks down. In fact, as uncloaked recently, 3,6,7 Luttinger's theorem is not necessarily invalidated when quasiparticles are absent. The suggestion [6][7][8] is that the particle density…”

Section: Introductionmentioning

confidence: 99%

Theory of the Luttinger surface in doped Mott insulators

2007

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We prove that the Mott insulating state is characterized by a divergence of the electron self-energy at well-defined values of momenta in the first Brillouin zone. When particle-hole symmetry is present, the divergence obtains at the momenta of the Fermi surface for the corresponding noninteracting system. Such a divergence gives rise to a surface of zeros ͑the Luttinger surface͒ of the single-particle Green function and offers a single unifying principle of Mottness from which pseudogap phenomena, spectral weight transfer, and broad spectral features emerge in doped Mott insulators. We also show that only when particle-hole symmetry is present does the volume of the zero surface equal the particle density. We identify that the general breakdown of Luttinger's theorem in a Mott insulator arises from the breakdown of a perturbative expansion for the self-energy in the single-particle Green function around the noninteracting limit. A modified version of Luttinger's theorem is derived for special cases.

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“…According to Luttinger's theorem, the area of the Brillouin zone where ReGk; 0 > 0 equals the electron density and is thus conserved [12,24]. In the Mott phase ReGk; 0 changes sign at k =2 due to the divergence of k; 0 [ Fig.…”

Section: Prl 97 136401 (2006) P H Y S I C a L R E V I E W L E T T E mentioning

confidence: 99%

“…Such systems exhibit a deconfinement transition between a one-dimensional Mott insulator and a three-dimensional metal. For such systems, FS pockets were found when the interchain coupling is treated within the RPA approximation [12]. The pockets form when the interchain bandwidth exceeds the 1D Mott gap of the chains.…”

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confidence: 99%

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

et al. 2006

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We investigate the Mott transition in weakly coupled one-dimensional (1D) fermionic chains. Using a generalization of dynamical mean field theory, we show that the Mott gap is suppressed at some critical hopping t c2 ? . The transition from the 1D insulator to a 2D metal proceeds through an intermediate phase where the Fermi surface is broken into electron and hole pockets. The quasiparticle spectral weight is strongly anisotropic along the Fermi surface, both in the intermediate and metallic phases. We argue that such pockets would look like ''arcs'' in photoemission experiments.

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Weakly coupled one-dimensional Mott insulators

Cited by 113 publications

References 56 publications

Effective theory of Fermi pockets in fluctuating antiferromagnets

Effective theory of Fermi pockets in fluctuating antiferromagnets

Theory of the Luttinger surface in doped Mott insulators

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

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