System with time-reversal symmetry breaking

Me, Simón; Aligia, A. A.

doi:10.1103/physrevb.46.3676

Cited by 2 publications

(1 citation statement)

References 19 publications

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“…( 9) to (12) [16,17]. (Such a current can not exist in the thermodynamic limit, even if it were allowed by symmetry [63,64]). In finite systems, this current is zero for periodic boundary conditions at "closed-shell" fillings, (including half-filling in our cluster), and for half-filling and any boundary conditions in the U → ∞ limit (as in the t − J model [24] ), since in this limit the charge dynamics is suppressed.…”

Section: Numerical Methods and Average Over Boundary Conditionsmentioning

confidence: 99%

Optical properties of an effective one-band Hubbard model for the cuprates

1997

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We study the Cu and O spectral density of states and the optical conductivity of CuO2 planes using an effective generalized one-band Hubbard model derived from the extended three-band Hubbard model. We solve exactly a square cluster of 10 unit cells and average the results over all possible boundary conditions, what leads to smooth functions of frequency. Upon doping, the Fermi energy jumps to Zhang-Rice states which are connected to the rest of the valence band ( in contrast to an isolated new band in the middle of the gap). The transfer of spectral weight depends on the parameters of the original three-band model not only through the one-band effective parameters but also through the relevant matrix elements. We discuss the evolution of the gap upon doping. The optical conductivity of the doped system shows a mid-infrared peak due to intraband transitions, a pseudogap and a high frequency part related to interband transitions. Its shape and integrated weight up to a given frequency ( including the Drude weight ) agree qualitatively with experiments in the cuprates for low to moderate doping levels, but significant deviations exist for doping x > 0.3.

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Section: Numerical Methods and Average Over Boundary Conditionsmentioning

confidence: 99%

Optical properties of an effective one-band Hubbard model for the cuprates

1997

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Quantum Many-Body Spin Ratchets

Zadnik,

Ljubotina,

Krajnik

et al. 2024

PRX Quantum

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Introducing a class of SU(2) invariant quantum unitary circuits generating chiral transport, we examine the role of broken space-reflection and time-reversal symmetries on spin-transport properties. Upon adjusting parameters of local unitary gates, the dynamics can be either chaotic or integrable. The latter corresponds to a generalization of the space-time discretized (Trotterized) higher-spin quantum Heisenberg chain. We demonstrate that breaking of space-reflection symmetry results in a drift in the dynamical spin susceptibility. Remarkably, we find a universal drift velocity given by a simple formula, which, at zero average magnetization, depends only on the values of SU(2) Casimir invariants associated with local spins. In the integrable case, the drift velocity formula is confirmed analytically based on the exact solution of thermodynamic Bethe ansatz equations. Finally, by inspecting the large fluctuations of the time-integrated current between two halves of the system in stationary maximum-entropy states, we demonstrate violation of the Gallavotti-Cohen symmetry, implying that such states cannot be regarded as equilibrium ones. We show that the scaled cumulant generating function of the time-integrated current instead obeys a generalized fluctuation relation. Published by the American Physical Society 2024

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System with time-reversal symmetry breaking

Cited by 2 publications

References 19 publications

Optical properties of an effective one-band Hubbard model for the cuprates

Optical properties of an effective one-band Hubbard model for the cuprates

Quantum Many-Body Spin Ratchets

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