A scaling approach for interacting quantum wires—a possible explanation for the 0.7 anomalous conductance

Schmeltzer, D.; Kuklov, Anatoly; Malard, Mariana

doi:10.1088/0953-8984/22/9/095301

Cited by 5 publications

(10 citation statements)

References 51 publications

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“…For completeness, we show the straight line of the T → 0 limit of C/kB, whose coefficient is γkBT , with γ in Eq. (29). The insert shows details of the referred estimates for C/kB in a narrow low T -interval.…”

Section: Specific Heat and Numerical Datamentioning

confidence: 99%

Fractional exclusion statistics and thermodynamics of the Hubbard chain in the spin-incoherent Luttinger liquid regime

2018

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Bethe ansatz and bosonization procedures are used to describe the thermodynamics of the strongcoupled Hubbard chain in the spin-incoherent Luttinger liquid (LL) regime: J(≡ 4t 2 /U ) ≪ kBT ≪ EF , where t is the hopping amplitude, U (≫ t) is the repulsive on-site Coulomb interaction, and kBT (EF ∼ t) is the thermal (Fermi) energy. We introduce a fractional Landau LL approach, whose U = ∞ fixed point is exactly mapped onto an ideal gas with two species obeying the Haldane-Wu exclusion fractional statistics. This phenomenological approach sheds light on the behavior of several thermodynamic properties in the spin-incoherent LL regime: specific heat, charge compressibility, magnetic susceptibility, and Drude weight. In fact, besides the hopping (mass) renormalization, the fractional Landau LL parameters, due to quasiparticle interaction, are determined and relationships with velocities of holons and spinons are unveiled. The specific heat thus obtained is in very good agreement with previous density matrix renormalization group (DMRG) simulations of the t-J model in the spin-incoherent regime. A phase diagram is provided and two thermodynamic paths to access this regime clarifies both the numerical and analytical procedures. Further, we show that the high-T limit of the fractional Landau LL entropy and chemical potential exhibit the expected results of the t-J model, under the condition U ≫ kBT . Lastly, finite-temperature Lanczos simulations of the single-particle distribution function confirm the characteristics of the spin-incoherent regime and the high-T limit observed in previous DMRG studies.

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Section: Specific Heat and Numerical Datamentioning

confidence: 99%

Fractional exclusion statistics and thermodynamics of the Hubbard chain in the spin-incoherent Luttinger liquid regime

2018

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“…F n,σ , F † n,σ are anti commuting Klein factors [7,10,18]. Due to the boundary conditions the left and right movers are not independent.…”

Section: The Spin Orbit In Two Dimensions In the Presence Of A Confinmentioning

confidence: 99%

“…The use of the zero mode operators given in ref. [7,22] can reveal the Josephson periodicity of the degenerate ground state.…”

Section: Using the Relation Imposed By The Open Boundary Conditions Wmentioning

confidence: 99%

“…emerges for the filling factor ν = k F kso = 1. For the filling factor ν = k F kso = 1 3 we use the composite electrons method [8,9] and show that the composite Jordan Wigner phase [7] gives rise rise to an interacting one dimensional model in the Bosonic form we obtain a Luttinger liquid with the Luttinger parameter κ = ν = k F kso = 1 3 is which In the proximity to a superconductor we obtain a F.T.I. An experimental verification is proposed.…”

Section: Introductionmentioning

confidence: 97%

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Fractional Topological Insulators—A Bosonization Approach

Schmeltzer¹

2016

JMP

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A metallic disk with strong spin orbit interaction is investigated . The finite disk geometry introduces a confining potential. Due to the strong spin-orbit interaction and confining potential the metal disk is described by an effective one dimensional with a harmonic potential. The harmonic potential gives rise to classical turning points. As a result open boundary conditions must be used. We Bosonize the model and obtain chiral Bosons for each spin on the edge of the disk. When the filling fraction is reduced to ν = k F kso = 1 3 the electron-electron interactions are studied using the Jordan Wigner phase for composite fermions which gives rise to a Luttinger liquid. When the metallic disk is in the proximity with a superconductor a Fractional Topological Insulators is obtained.An experimental realization is proposed. We show that by tunning the chemical potential we control the classical turning points for which a Fractional Topological Insulator is realized.

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“…(18), we will use the algebra of the zero modes [22][23][24] where the charge and the current are given byQ Using the algebra of the zero modes, we compute to lowest order the energy of the ground state as a function of the coupling constant λ ≡ 2ĝ 2 ( πv F l ring ) −1 = 2g 2 k F l ring πv F < 1, the electronic bandwidth and the external fluxes. We find for the ground-state energy…”

Section: Persistent Currentsmentioning

confidence: 99%

Chiralpx+ipysuperconducting nanowire coupled to two metallic rings pierced by a flux

Schmeltzer¹,

Saxena²

2012

Phys. Rev. B

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We consider a p-wave superconducting nanowire weakly coupled to two metallic rings. At the two interfaces between the nanowire and the metallic rings the pairing order parameter vanishes, as a result two zero-mode Majorana fermions appear. The two metallic rings are pierced by external magnetic fluxes. By determining the correlation between the persistent currents in the two rings, we identify the special features of Majorana fermions, such as nonlocality, which can be experimentally observed in this setup.

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A scaling approach for interacting quantum wires—a possible explanation for the 0.7 anomalous conductance

Cited by 5 publications

References 51 publications

Fractional exclusion statistics and thermodynamics of the Hubbard chain in the spin-incoherent Luttinger liquid regime

Fractional exclusion statistics and thermodynamics of the Hubbard chain in the spin-incoherent Luttinger liquid regime

Fractional Topological Insulators—A Bosonization Approach

Chiralpx+ipysuperconducting nanowire coupled to two metallic rings pierced by a flux

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