Spin and thermal conductivity of quantum spin chains and ladders

Karrasch, Christoph; Kennes, Dante M.; Heidrich-Meisner, Fabian

doi:10.1103/physrevb.91.115130

Cited by 59 publications

(92 citation statements)

References 121 publications

(226 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We thus propose that whenever such a plateau is present in D(t), the cleanest way of computing σ reg (ω) is the L-independent FT, in line with the reasoning of Refs. [64,67,84]. Figure 6 shows data for U/t h = 4 as an example for a case, in which no clear plateau in D(t) can be resolved with the accessible system sizes.…”

Section: Optical Conductivitymentioning

confidence: 99%

“…The Q i = l q l,i are commonly ordered by their range, i = 1 corresponding to particle number Q 1 = N and i = 2 corresponding to the Hamiltonian Q 2 = H. Q 3 has range three (i.e., q l,3 involves operators acting on three neighboring sites) and has the same structure as the energycurrent operator, yet the two differ in the prefactor of one term [18]. As a consequence, thermal transport in the one-dimensional Hubbard model is ballistic at any finite temperature T > 0 [18,19]. Recently, it has been shown that there are also quasi-local conserved quantities in Bethe-ansatz integrable systems which can be crucial for some transport channels [20][21][22].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Finite-temperature charge transport in the one-dimensional Hubbard model

et al. 2015

Self Cite

View full text Add to dashboard Cite

We study the charge conductivity of the one-dimensional repulsive Hubbard model at finite temperature using the method of dynamical quantum typicality, focusing at half filling. This numerical approach allows us to obtain current autocorrelation functions from systems with as many as 18 sites, way beyond the range of standard exact diagonalization. Our data clearly suggest that the charge Drude weight vanishes with a power law as a function of system size. The low-frequency dependence of the conductivity is consistent with a finite dc value and thus with diffusion, despite large finite-size effects. Furthermore, we consider the mass-imbalanced Hubbard model for which the charge Drude weight decays exponentially with system size, as expected for a non-integrable model. We analyze the conductivity and diffusion constant as a function of the mass imbalance and we observe that the conductivity of the lighter component decreases exponentially fast with the mass-imbalance ratio. While in the extreme limit of immobile heavy particles, the Falicov-Kimball model, there is an effective Anderson-localization mechanism leading to a vanishing conductivity of the lighter species, we resolve finite conductivities for an inverse mass ratio of η 0.3.

show abstract

Section: Optical Conductivitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Finite-temperature charge transport in the one-dimensional Hubbard model

et al. 2015

Self Cite

View full text Add to dashboard Cite

show abstract

“…The occurrence of superdiffusive transport in the presence of interactions and disorder is in striking contrast to the behavior of clean systems where integrability breaking terms normally lead to diffusion (for spin systems, see Refs. [41][42][43][44]). However, a simple estimate of the mean free time of scattering from the external potential gives a time-scale of τ ∼ 1/λ 2 , which is about τ ≈ 16 for the smallest λ we study and is comparable to our maximal simulation times.…”

mentioning

confidence: 99%

Transport in quasiperiodic interacting systems: From superdiffusion to subdiffusion

Lev

Kennes

Klöckner

et al. 2017

EPL

View full text Add to dashboard Cite

Using a combination of numerically exact and renormalization-group techniques we study the nonequilibrium transport of electrons in an one-dimensional interacting system subject to a quasiperiodic potential. For this purpose we calculate the growth of the mean-square displacement as well as the melting of domain walls. While the system is nonintegrable for all studied parameters, there is no finite region of parameters for which we observe diffusive transport. In particular, our model shows a rich dynamical behavior crossing over from superdiffusion to subdiffusion. We discuss the implications of our results for the general problem of many-body localization, with a particular emphasis on the rare region Griffiths picture of subdiffusion.Introduction. -The finite energy transport properties of quantum-mechanical systems generally fall into one of the three standard categories: ballistic, diffusive, and the complete absence of transport altogether. Ballistic transport is only possible in special, so-called integrable cases (such as free fermions) where an extensive set of local conserved quantities prevents currents from scattering. Interacting, clean systems are generically diffusive, while the cessation of transport is a hallmark of systems that completely fail to equilibrate, such as those that undergo Anderson localization [1]. The study of the transition between such regimes has been energized by the recent focus on systems that undergo many-body localization (MBL) [2][3][4]. In the standard quenched disordered variants of such systems, dynamical behavior is observed that exhibits a rich set of distinct transport behaviors [5][6][7][8][9]. Interacting quasiperiodic (QP) systems are also believed to exhibit similar behavior, and are the basis for several recent experimental studies on MBL [10,11]. Unfortunately, very little is known about transport in such systems. Here, we fill this vital gap via a finite-temperature version [12][13][14] of the time-dependent matrix renormalization group (tDMRG) [15,16] as well as the functional renormalization group (FRG) [17,18].Model. -We consider a one-dimensional model of spinless fermions, subject to a quasiperiodic potential (QP),

show abstract

“…The pioneer theoretical result indicated a diffusive spin transport of the spin-1 chain system, which is a non-integrable model [52]. On the other hand, some recent theories also suggested a more complicated spin transport behavior in spin-1/2 ladders [53][54][55][56][57]. It is possible that this system could exhibit large bust diffusive spin thermal conductivity.…”

Section: Heat Transport In S = 1/2 Spin Laddermentioning

confidence: 99%

“…However, theoretical studies on the thermal conductivity of spin-1/2 ladders are rather controversial [52][53][54][55][56][57]. On the one hand, the spin-1/2 ladder is believed to have the essentially same as the spin-1 chain in the aspects of the spin-liquid ground state and the gapped magnetic spectrum.…”

Section: Heat Transport In S = 1/2 Spin Laddermentioning

confidence: 99%

Low-temperature heat transport of spin-gapped quantum magnets

Zhao

Liu

et al. 2016

Sci. China Phys. Mech. Astron.

View full text Add to dashboard Cite

This article reviews low-temperature heat transport studies of spin-gapped quantum magnets in the last few decades. Quantum magnets with small spins and low dimensionality exhibit a variety of novel phenomena. Among them, some systems are characteristic of having quantum-mechanism spin gap in their magnetic excitation spectra, including spin-Peierls systems, S = 1 Haldane chains, S = 1/2 spin ladders, and spin dimmers. In some particular spin-gapped systems, the XY-type antiferromagnetic state induced by magnetic field that closes the spin gap can be described as a magnon Bose-Einstein condensation (BEC). Heat transport is effective in probing the magnetic excitations and magnetic phase transitions, and has been extensively studied for the spin-gapped systems. A large and ballistic spin thermal conductivity was observed in the two-leg Heisenberg S = 1/2 ladder compounds. The characteristic of magnetic thermal transport of the Haldane chain systems is quite controversial on both the theoretical and experimental results. For the spin-Peierls system, the spin excitations can also act as heat carriers. In spin-dimer compounds, the magnetic excitations mainly play a role of scattering phonons. The magnetic excitations in the magnon BEC systems displayed dual roles, carrying heat or scattering phonons, in different materials.

show abstract

Spin and thermal conductivity of quantum spin chains and ladders

Cited by 59 publications

References 121 publications

Finite-temperature charge transport in the one-dimensional Hubbard model

Finite-temperature charge transport in the one-dimensional Hubbard model

Transport in quasiperiodic interacting systems: From superdiffusion to subdiffusion

Low-temperature heat transport of spin-gapped quantum magnets

Contact Info

Product

Resources

About