Staggered orbital currents in the half-filled two-leg ladder

Fjærestad, J. O.; Marston, J. B.

doi:10.1103/physrevb.65.125106

Cited by 50 publications

(95 citation statements)

References 26 publications

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“…Gauge field fluctuations render the combinations θ a and θ A in the last two lines massive, effectively leading to the pinnings in Eq. (30), and only the θ f σ , θ d1− , and θ ρtot modes remain. Note that the definition of θ ρtot is fixed once we define the convenient fields θ f σ and θ d1− and require orthogonality among these modes and orthogonality to the linear space of equations (30).…”

Section: A Gauge Theory Description and Solution By Bosonizationmentioning

confidence: 99%

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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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Section: A Gauge Theory Description and Solution By Bosonizationmentioning

confidence: 99%

“…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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“…One of them is the "d-wave" type superconductivity and the other is the presence of phases of "orbital antiferromagnetism" for some range of parameters [203,173].…”

Section: Coupled One-dimensional Chainsmentioning

confidence: 99%

Singular or non-Fermi liquids

2002

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“…(A discussion of the role of Klein factors in the identification of phases in ladders is found in ref. [48].…”

Section: B Order Parameters and Phasesmentioning

confidence: 99%

Pair-density-wave superconducting order in two-leg ladders

Jaefari

Fradkin

2012

Phys. Rev. B

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We show using bosonization methods that extended Hubbard-Heisenberg models on two types of two leg ladders (without flux and with flux π per plaquette) have commensurate pair-density wave (PDW) phases. In the case of the conventional (flux-less) ladder the PDW arises when certain filling fractions for which commensurability conditions are met. For the flux π ladder the PDW phase is generally present. The PDW phase is characterized by a finite spin gap and a superconducting order parameter with a finite (commensurate in this case) wave vector and power-law superconducting correlations. In this phase the uniform superconducting order parameter, the 2kF charge-densitywave (CDW) order parameter and the spin-density-wave Néel order parameter exhibit short range (exponentially decaying) correlations. We discuss in detail the case in which the bonding band of the ladder is half filled for which the PDW phase appears even at weak coupling. The PDW phase is shown to be dual to a uniform superconducting (SC) phase with quasi long range order. By making use of bosonization and the renormalization group we determine the phase diagram of the spin-gapped regime and study the quantum phase transition. The phase boundary between PDW and the uniform SC ordered phases is found to be in the Ising universality class. We generalize the analysis to the case of other commensurate fillings of the bonding band, where we find higher order commensurate PDW states for which we determine the form of the effective bosonized field theory and discuss the phase diagram. We compare our results with recent findings in the KondoHeisenberg chain. We show that the formation of PDW order in the ladder embodies the notion of intertwined orders.

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Staggered orbital currents in the half-filled two-leg ladder

Abstract: Using Abelian bosonization with a careful treatment of the Klein factors, we show that a certain phase of the half-filled two-leg ladder, previously identified as having spin-Peierls order, instead exhibits staggered orbital currents with no dimerization.

Cited by 50 publications

References 26 publications

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

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

Singular or non-Fermi liquids

Pair-density-wave superconducting order in two-leg ladders

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