Scientific article
Open access

Construction of many-body eigenstates with displacement transformations in disordered systems

Published inPhysical review. B, vol. 100, no. 8, 085115
Publication date2019-08-06
First online date2019-08-06

Many-body eigenstates beyond the Gaussian approximation can be constructed in terms of local integrals of motion (IOMs), although their actual computation has been, until now, a daunting task. We present a practical computation of IOMs based on displacement transformations and apply it to the problem of many-body localization in disordered one-dimensional systems. It represents a general and systematic way to extend Hartree-Fock and configuration interaction theories to higher order. Our method combines minimization of energy and energy variance of a reference state with exact diagonalization. We show that our implementation for one-dimensional disordered fermions is able to perform ground-state calculations with high precision for relatively large systems. Since it keeps track of the IMOs forming a reference state, our method is particularly efficient dealing with excited states, both in accuracy and in the number of different states that can be constructed.

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Citation (ISO format)
ORTUÑO, Miguel, SOMOZA, Andres M., RADEMAKER, Louk. Construction of many-body eigenstates with displacement transformations in disordered systems. In: Physical review. B, 2019, vol. 100, n° 8, p. 085115. doi: 10.1103/PhysRevB.100.085115
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Article (Published version)
ISSN of the journal2469-9950

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