Use this URL to cite or link to this record in EThOS: https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.343668
Title: Continuous-time quantum Monte Carlo studies of lattice polarons
Author: Spencer, Paul E.
ISNI:       0000 0001 3474 7856
Awarding Body: Loughborough University
Current Institution: Loughborough University
Date of Award: 2000
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Abstract:
The polaron problem is studied, on an infinite lattice, using the continuous-time path-integral quantum Monte Carlo scheme The method is based on the Feynman technique to analytically integrate out the phonon degrees of freedom. The transformed problem is that of a single electron with retarded self-interaction in imaginary time. The Metropolis algorithm is used to sample an ensemble of electron trajectories with twisted (rather than periodic) boundary conditions in imaginary time, which allows dynamic properties of the system to by measured directly. The method is numerically "exact", in the sense that there are no systematic errors due to finite system size, trotter decomposition or finite temperature The implementation of the algorithm in continuous imaginary time dramatically increases computational efficiency compared with the traditional discrete imaginary time algorithms.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.343668  DOI: Not available
Keywords: POLARONS; MONTE CARLO METHOD; COMPUTERIZED SIMULATION; PHONONS; CRYSTAL LATTICES; CRYSTAL MODELS; ELECTRON-PHONON COUPLING
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