arXiv:cond-mat/0311256

One-particle irreducible density matrix for the spin disordered infinite $U$ Hubbard chain

Vadim Cheianov, Mikhail B. Zvonarev

Published Nov 11, 2003• 1 citation

Abstract

In this Letter we present a calculation of the one-particle irreducible density matrix $ρ(x)$ for the one-dimensional (1D) Hubbard model in the infinite $U$ limit. We consider the zero temperature spin disordered regime, which is obtained by first taking the limit $U\to \infty$ and then the limit $T\to 0.$ Using the determinant representation for $ρ(x)$ we derive analytical expressions for both large and small $x$ at an arbitrary filling factor $0

DOI: 10.48550/arxiv.cond-mat/0311256

Related papers

One-particle equal time correlation function for the spin-incoherent infiniteUHubbard chain

Vadim Cheianov, Mikhail B. Zvonarev

Journal of Physics A Mathematical and TheoreticalJan 15, 20084 citations

Zero temperature correlation functions for the impenetrable fermion gas

Vadim Cheianov, Mikhail B. Zvonarev

We calculate the long time and distance asymptotics of the one-particle correlation functions in the model of impenetrable spin 1/2 fermions in 1 + 1 dimensions. We consider the spin disordered zero temperature regime, which occurs when the limit T → 0 is taken at a positive chemical potential. The asymptotic expressions are found from the asymptotic solution of the matrix Riemann–Hilbert problem related to the determinant representation of the correlation functions.

arXiv:cond-mat/0310499Journal of Physics A Mathematical and GeneralJan 28, 200460 citations

Transport properties of the one-dimensional Hubbard model at finite temperature

Christoph Karrasch, Dante Marvin Kennes, Joel E. Moore

arXiv:1408.1891Physical Review BOct 3, 201456 citations

Thermodynamics of the one-dimensional half-filled Hubbard model in the spin-disordered regime

Satoshi Ejima, Fabian H. L. Eßler, Florian Gebhard

arXiv:cond-mat/0602310Journal of Physics A Mathematical and GeneralApr 19, 20067 citations

Diffusive high-temperature transport in the one-dimensional Hubbard model

Tomaž Prosen, Marko Žnidarič

arXiv:1203.1727Physical Review BSep 14, 201271 citations

Finite-temperature dynamics of the Mott insulating Hubbard chain

Alberto Nocera, Fabian H. L. Eßler, Adrian E. Feiguin

arXiv:1710.06452Physical review. B./Physical review. BJan 29, 201844 citations

arXiv:cond-mat/0311256

One-particle irreducible density matrix for the spin disordered infinite $U$ Hubbard chainOne-particle irreducible density matrix for the spin disordered infinite $U$ Hubbard chain

Vadim Cheianov, Mikhail B. Zvonarev

Published Nov 11, 2003• 1 citation

arXiv HTML PDF

Abstract

In this Letter we present a calculation of the one-particle irreducible density matrix

ρ(x)

for the one-dimensional (1D) Hubbard model in the infinite

U

limit. We consider the zero temperature spin disordered regime, which is obtained by first taking the limit

U\to \infty

and then the limit

T\to 0.

Using the determinant representation for

ρ(x)

we derive analytical expressions for both large and small

x

at an arbitrary filling factor $0

DOI: 10.48550/arxiv.cond-mat/0311256

Related papers

One-particle equal time correlation function for the spin-incoherent infiniteUHubbard chain

Vadim Cheianov, Mikhail B. Zvonarev

We present a calculation of the one-particle equal time correlation function.(x) for the one-dimensional (1D) Hubbard model in the infinite U limit. We consider the zero temperature spin incoherent regime, which is obtained by first taking the limit U --> infinity and then the limit T --> 0. Using the determinant representation for.(x), we derive analytical expressions for both large and small x at an arbitrary filling factor 0 < rho < 1/ 2. The large x asymptotics of rho(x) is found to be remarkably accurate starting from x sin(2 pi rho) similar to 1. We find that the one-particle momentum distribution function rho(k) is a smooth function of k, and. rho'(k) is peaked at k = 2k(F) in contrast to spin-coherent liquid obeying the Luttinger theorem.We present a calculation of the one-particle equal time correlation function.(x) for the one-dimensional (1D) Hubbard model in the infinite U limit. We consider the zero temperature spin incoherent regime, which is obtained by first taking the limit U --> infinity and then the limit T --> 0. Using the determinant representation for.(x), we derive analytical expressions for both large and small x at an arbitrary filling factor 0 < rho < 1/ 2. The large x asymptotics of rho(x) is found to be remarkably accurate starting from x sin(2 pi rho) similar to 1. We find that the one-particle momentum distribution function rho(k) is a smooth function of k, and. rho'(k) is peaked at k = 2k(F) in contrast to spin-coherent liquid obeying the Luttinger theorem.

Journal of Physics A Mathematical and TheoreticalJan 15, 20084 citations

Zero temperature correlation functions for the impenetrable fermion gas

Vadim Cheianov, Mikhail B. Zvonarev

arXiv:cond-mat/0310499Journal of Physics A Mathematical and GeneralJan 28, 200460 citations

Transport properties of the one-dimensional Hubbard model at finite temperature

Christoph Karrasch, Dante Marvin Kennes, Joel E. Moore

We study finite-temperature transport properties of the one-dimensional Hubbard model using the density matrix renormalization group. Our aim is twofold: First, we compute both the charge- and the spin-current correlation function of the integrable model at half filling. The former decays rapidly, implying that the corresponding Drude weight is either zero or very small. Second, we calculate the optical charge conductivity ${\ensuremath{\sigma}}_{r}eg(\ensuremath{\omega})$ in the presence of small integrability-breaking next-nearest-neighbor interactions (the extended Hubbard model). The dc conductivity is finite and diverges as the temperature is decreased below the gap. Our results thus suggest that the half-filled, gapped Hubbard model is a normal charge conductor at finite temperatures. As a test bed for our numerics, we compute ${\ensuremath{\sigma}}_{r}eg(\ensuremath{\omega})$ for the integrable XXZ spin chain in its gapped phase.We study finite-temperature transport properties of the one-dimensional Hubbard model using the density matrix renormalization group. Our aim is twofold: First, we compute both the charge- and the spin-current correlation function of the integrable model at half filling. The former decays rapidly, implying that the corresponding Drude weight is either zero or very small. Second, we calculate the optical charge conductivity ${\ensuremath{\sigma}}_{r}eg(\ensuremath{\omega})$ in the presence of small integrability-breaking next-nearest-neighbor interactions (the extended Hubbard model). The dc conductivity is finite and diverges as the temperature is decreased below the gap. Our results thus suggest that the half-filled, gapped Hubbard model is a normal charge conductor at finite temperatures. As a test bed for our numerics, we compute ${\ensuremath{\sigma}}_{r}eg(\ensuremath{\omega})$ for the integrable XXZ spin chain in its gapped phase.

arXiv:1408.1891Physical Review BOct 3, 201456 citations

Thermodynamics of the one-dimensional half-filled Hubbard model in the spin-disordered regime

Satoshi Ejima, Fabian H. L. Eßler, Florian Gebhard

We analyse the thermodynamic Bethe Ansatz equations of the one-dimensional half-filled Hubbard model in the ‘spin-disordered regime’, which is characterized by the temperature being much larger than the magnetic energy scale, but small compared to the Mott–Hubbard gap. In this regime the thermodynamics of the Hubbard model can be thought of in terms of gapped charged excitations with an effective dispersion and spin degrees of freedom that only contribute entropically. In particular, the internal energy and the effective dispersion become essentially independent of temperature. An interpretation of this regime in terms of a putative interacting-electron system at zero temperature leads to a metal–insulator transition at a finite interaction strength above which the gap opens linearly. We relate these observations to studies of the Mott–Hubbard transition in the limit of infinite dimensions.We analyse the thermodynamic Bethe Ansatz equations of the one-dimensional half-filled Hubbard model in the ‘spin-disordered regime’, which is characterized by the temperature being much larger than the magnetic energy scale, but small compared to the Mott–Hubbard gap. In this regime the thermodynamics of the Hubbard model can be thought of in terms of gapped charged excitations with an effective dispersion and spin degrees of freedom that only contribute entropically. In particular, the internal energy and the effective dispersion become essentially independent of temperature. An interpretation of this regime in terms of a putative interacting-electron system at zero temperature leads to a metal–insulator transition at a finite interaction strength above which the gap opens linearly. We relate these observations to studies of the Mott–Hubbard transition in the limit of infinite dimensions.

arXiv:cond-mat/0602310Journal of Physics A Mathematical and GeneralApr 19, 20067 citations

Diffusive high-temperature transport in the one-dimensional Hubbard model

Tomaž Prosen, Marko Žnidarič

We consider charge and spin transport in the one-dimensional Hubbard model at infinite temperature, half-filling, and zero magnetization. Implementing matrix-product-operator simulations of the nonequilibrium steady states of boundary-driven open Hubbard chains for up to 100 sites we find clear numerical evidence of diffusive transport for weak driving and any (nonzero and finite) value of the interaction $U$ . In addition, nonequilibrium steady states are characterized by nonzero spin-up spin-down density-density correlations. For maximal driving, on the other hand, we find an insulating behavior and cosine-shaped density profiles.We consider charge and spin transport in the one-dimensional Hubbard model at infinite temperature, half-filling, and zero magnetization. Implementing matrix-product-operator simulations of the nonequilibrium steady states of boundary-driven open Hubbard chains for up to 100 sites we find clear numerical evidence of diffusive transport for weak driving and any (nonzero and finite) value of the interaction $U$. In addition, nonequilibrium steady states are characterized by nonzero spin-up spin-down density-density correlations. For maximal driving, on the other hand, we find an insulating behavior and cosine-shaped density profiles.

arXiv:1203.1727Physical Review BSep 14, 201271 citations

Finite-temperature dynamics of the Mott insulating Hubbard chain

Alberto Nocera, Fabian H. L. Eßler, Adrian E. Feiguin

We study the dynamical response of the half-filled one-dimensional Hubbard model for a range of interaction strengths $U$ and temperatures $T$ by a combination of numerical and analytical techniques. Using time-dependent density matrix renormalization group computations we find that the single-particle spectral function undergoes a crossover to a spin-incoherent Luttinger liquid regime at temperatures $T\ensuremath{\sim}J=4{t}^{2}/U$ for sufficiently large $U>4t$ . At smaller values of $U$ and elevated temperatures the spectral function is found to exhibit two thermally broadened bands of excitations, reminiscent of what is found in the Hubbard-I approximation. The dynamical density-density response function is shown to exhibit a finite-temperature resonance at low frequencies inside the Mott gap, with a physical origin similar to the Villain mode in gapped quantum spin chains. We complement our numerical computations by developing an analytic strong-coupling approach to the low-temperature dynamics in the spin-incoherent regime.We study the dynamical response of the half-filled one-dimensional Hubbard model for a range of interaction strengths $U$ and temperatures $T$ by a combination of numerical and analytical techniques. Using time-dependent density matrix renormalization group computations we find that the single-particle spectral function undergoes a crossover to a spin-incoherent Luttinger liquid regime at temperatures $T\ensuremath{\sim}J=4{t}^{2}/U$ for sufficiently large $U>4t$. At smaller values of $U$ and elevated temperatures the spectral function is found to exhibit two thermally broadened bands of excitations, reminiscent of what is found in the Hubbard-I approximation. The dynamical density-density response function is shown to exhibit a finite-temperature resonance at low frequencies inside the Mott gap, with a physical origin similar to the Villain mode in gapped quantum spin chains. We complement our numerical computations by developing an analytic strong-coupling approach to the low-temperature dynamics in the spin-incoherent regime.

arXiv:1710.06452Physical review. B./Physical review. BJan 29, 201844 citations

One-particle irreducible density matrix for the spin disordered infinite

U

Hubbard chain

In this Letter we present a calculation of the one-particle irreducible density matrix

ρ(x)

for the one-dimensional (1D) Hubbard model in the infinite

U

limit. We consider the zero temperature spin disordered regime, which is obtained by first taking the limit

U\to \infty

and then the limit

T\to 0.

Using the determinant representation for

ρ(x)

we derive analytical expressions for both large and small

x

at an arbitrary filling factor $0

U

. In addition, nonequilibrium steady states are characterized by nonzero spin-up spin-down density-density correlations. For maximal driving, on the other hand, we find an insulating behavior and cosine-shaped density profiles.

We study the dynamical response of the half-filled one-dimensional Hubbard model for a range of interaction strengths

U

and temperatures

T

by a combination of numerical and analytical techniques. Using time-dependent density matrix renormalization group computations we find that the single-particle spectral function undergoes a crossover to a spin-incoherent Luttinger liquid regime at temperatures $T\ensuremath{\sim}J=4{t}^{2}/U$ for sufficiently large

U>4t

. At smaller values of

U

and elevated temperatures the spectral function is found to exhibit two thermally broadened bands of excitations, reminiscent of what is found in the Hubbard-I approximation. The dynamical density-density response function is shown to exhibit a finite-temperature resonance at low frequencies inside the Mott gap, with a physical origin similar to the Villain mode in gapped quantum spin chains. We complement our numerical computations by developing an analytic strong-coupling approach to the low-temperature dynamics in the spin-incoherent regime.