Exact SO(8) symmetry in the weakly-interacting two-leg ladder

Lin, Hsiu‐Hau; Balents, Leon; Fisher, Matthew P. A.

doi:10.1103/physrevb.58.1794

Cited by 201 publications

(412 citation statements)

References 49 publications

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“…The notation CnSm denotes a state with n massless charge mode and m massless spin mode. Such a spin gap is also known in the SO(8) Gross-Neveu model [26], which includes an additional term given by g ρ+,σ+ sin √ 2θ ρ+ cos √ 2θ σ+ . For an irrelevant interchain hopping, one can also expect a state with the spin gap due to the following fact.…”

Section: Half-filled Casementioning

confidence: 99%

“…The behavior which separates these two cases is obtained at a critical value of t ⊥ = t ⊥,c (curve(c)). For a relevant interchain hopping, one obtains an insulating phase with spin gap excitations which is called "D-Mott" phase [26] with "C0S0" phase. The notation CnSm denotes a state with n massless charge mode and m massless spin mode.…”

Section: Half-filled Casementioning

confidence: 99%

“…The ladder system with the umklapp scattering has been examined in the chain basis, where the incommensurate phase shows no gap in the total charge fluctuation [22]. Studies using either a mapping on a SO(8) symmetric model [26,27], onto a hard core boson system [28] or in the large interchain hopping limit [29] show a drastic modification of the universal properties of the metal-insulator transition compared to the single-chain case. The universal properties close to half-filling have been checked numerically by DMRG [30].…”

Section: Introductionmentioning

confidence: 99%

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Commensurate-incommensurate transition in two-coupled chains of nearly half-filled electrons

et al. 2001

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Abstract. We investigate the physical properties of two coupled chains of electrons, with a nearly half-filled band, as a function of the interchain hopping t ⊥ and the doping. We show that upon doping, the system undergoes a metal-insulator transition well described by a commensurate-incommensurate transition. By using bosonization and renormalization we determine the full phase diagram of the system, and the physical quantities such as the charge gap. In the commensurate phase two different regions, for which the interchain hopping is relevant and irrelevant exist, leading to a confinement-deconfinement crossover in this phase. A minimum of the charge gap is observed for values of t ⊥ close to this crossover. At large t ⊥ the region of the commensurate phase is enhanced, compared to a single chain. At the metal-insulator transition the Luttinger parameter takes the universal value K * ρ = 1, in agreement with previous results on special limits of this model.

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Section: Half-filled Casementioning

confidence: 99%

Section: Half-filled Casementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Commensurate-incommensurate transition in two-coupled chains of nearly half-filled electrons

et al. 2001

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“…The two coupled chain problem has been thoroughly considered [90,95,159,232,33,194] following earlier perturbative RG calculations [264] on a related model. The two-chain or ladder is especially interesting both theoretically and experimentally.…”

Section: Coupled One-dimensional Chainsmentioning

confidence: 99%

Singular or non-Fermi liquids

2002

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“…Then, owing to the afforded numerical and analytical tractability provided by the density matrix renormalization group (DMRG) 25,26 and bosonization, [27][28][29][30] we place the problem on a quasi-one-dimensional (quasi-1D) two-leg ladder geometry (see Fig. 1).…”

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confidence: 99%

Non-Fermi-liquid d-wave metal phase of strongly interacting electrons

Jiang

Block

Mishmash

et al. 2012

Nature

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Developing a theoretical framework for conducting electronic fluids qualitatively distinct from those described by Landau's celebrated Fermi liquid theory is of central importance to many outstanding problems in condensed matter physics. Perhaps the most important such pursuit is a full microscopic characterization of the high-Tc cuprate superconductors, where the so-called "strange metal" behavior above Tc near optimal doping is inconsistent with being a traditional Landau Fermi liquid. Indeed, a microscopic theory of such a strange metal quantum phase could possibly shed new light on the interesting low-temperature behavior in the pseudogap regime and on the d-wave superconductor itself. Here, we present a theory for a specific example of a strange metal, which we term the "d-wave metal." Using variational wave functions, gauge theoretic arguments, and ultimately large-scale DMRG calculations, we establish compelling evidence that this remarkable quantum phase is the ground state of a reasonable microscopic Hamiltonian: the venerable t-J model supplemented with a frustrated electron ring-exchange term, which we study extensively here on the two-leg ladder. These findings constitute one of the first explicit examples of a genuine non-Fermi liquid metal existing as the ground state of a realistic model.Over the past several decades, experiments on strongly correlated materials have routinely revealed, in certain parts of the phase diagram, conducting liquids with physical properties qualitatively inconsistent with Landau's Fermi liquid theory. 1 Examples of these so-called non-Fermi liquid metals 2 include the strange metal phase of the cuprate superconductors 3,4 and heavy fermion materials near a quantum critical point. 5,6 However, such non-Fermi liquid behavior has been notoriously challenging to characterize theoretically, largely owing to the failure of a weakly interacting quasiparticle description. It is even ambiguous to define a non-Fermi liquid, although possible deviations from Fermi liquid theory include, for example, violation of Luttinger's 7 famed volume theorem, vanishing quasiparticle weight, and/or anomalous thermodynamics and transport. 5,[8][9][10][11][12] This theoretical quandary is rather unfortunate as it is likely prohibiting a full understanding of the mechanism behind high-temperature superconductivity, as well as stymying theoretically-guided searches for new exotic materials.Pioneering early theoretical work on the cuprates relied on two main premises, 3,13-17 from which we will be guided but not constrained in our pursuit and understanding of a particular non-Fermi liquid metal: (1) that the microscopics can be described by the square lattice Hubbard model with on-site Coulomb repulsion, which at strong coupling reduces in its simplest form to the t-J model; and (2) that the physics of the system can be faithfully represented by the "slave-boson" technique, wherein the physical electron operator is written as a product of a slave boson ("chargon"), which carries the electronic char...

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Exact SO(8) symmetry in the weakly-interacting two-leg ladder

Cited by 201 publications

References 49 publications

Commensurate-incommensurate transition in two-coupled chains of nearly half-filled electrons

Commensurate-incommensurate transition in two-coupled chains of nearly half-filled electrons

Singular or non-Fermi liquids

Non-Fermi-liquid d-wave metal phase of strongly interacting electrons

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